Harry Dankowicz

For More Information

• Software repository for COCO
• Information about MAMBO and the MAMBO Toolbox
• Harry Dankowicz's home page

Education

• Docent, Mechanics, KTH, 1998
• Ph.D., Theoretical and Applied Mechanics, Cornell University, 1995
• M.Sc., Engineering Physics, Royal Institute of Technology, Stockholm, Sweden (KTH), 1991

Academic Positions

• Associate Dean for Graduate, Professional and Online Programs, The Grainger College of Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois, August 2016-May 2021
• Professor, Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois, August 2011 - date
• Associate Professor, Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois, August 2005 - August 2011
• Associate Professor, Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, August 2004 - August 2005
• Assistant Professor, Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, August 1999 - August 2004
• Research Associate, Department of Mechanics, KTH Royal Institute of Technology, Stockholm, Sweden, August 1996 - August 1999
• Postdoctoral Fellow, Department of Mechanics, KTH Royal Institute of Technology, Stockholm, Sweden, August 1995 - August 1996

Teaching Statement

There are two reasons that I work in academia. One is the opportunity to engage in a constant search for discovery, whether of new scientific phenomena or of solutions to practical problems. The second is the opportunity to share this love for discovery and intellectual growth with students and colleagues.

I place significant emphasis on my role as a guide through the learning process, on making available to my students a framework for continued learning and discovery, on challenging them to achieve greatness, and on following them where they can thrive. I believe that learning is a great privilege and a great opportunity and that the responsibility that rests upon me as a teacher is immense.

Research Interests

• Applications to field agriculture, renewable energy technologies, collective behavior of social insects and humans, constrained uncertainty quantification.
• Dynamics and control, multibody dynamics and robotics, computational science and engineering, networks and complex systems, design optimization.

Research Projects

• CAESAR: the Center for Autonomous Engineering Systems and Robotics

Books Authored or Co-Authored (Original Editions)

• Dankowicz, H. and F. Schilder, "Recipes for Continuation," SIAM, 2013.
• Dankowicz, H., “Multibody Mechanics and Visualization,” Springer Verlag, 2005.
• Dankowicz, H., “Mechanics Problems, and Their Solutions,” Royal Institute of Technology, Stockholm, Sweden, 1998.
• Dankowicz, H., “Chaotic Dynamics in Hamiltonian Systems; with Applications to Celestial Mechanics,” World Scientific Publishing Co., 1997.

Chapters in Books

• Nguyen, K. and H. Dankowicz, “Delay Robustness and Compensation in L1 Adaptive Control,” in Proceedings of IUTAM Symposium on Nonlinear and Delayed Dynamics of Mechatronic Systems, Procedia IUTAM 22C, pp. 10-15, 2017
• Dankowicz, H. and E. Fotsch, “On the Analysis of Chatter in Mechanical Systems with Impacts,” in Proceedings of 24th International Congress on Theoretical and Applied Mechanics, Procedia IUTAM 20, pp. 18-25, 2017
• Dankowicz, H. and F. Svahn, “Control of Instabilities Induced by Low-Velocity Collisions in a Vibro-Impacting System with Friction,” in Vibro-Impact Dynamics of Ocean Systems and Related Problems, ed. R. Ibrahim, Springer-Verlag, Berlin Heidelberg, 41-52, 2009.
• Svahn, F., J. Jerrelind, and H. Dankowicz, “Suppression of Bumpstop Instabilities in a Quarter-Car Model,” in Non-smooth Problems in Vehicle Systems Dynamics, eds. P.G. Thomsen and H. True, Springer-Verlag, Berlin Heidelberg, 137-147, 2008.
• Dankowicz, H., “Robotics- New Approaches to the Mobility of Mechanisms,” Swedish Mechanics in the 21st Century, H. Alfredsson and G. Amberg, eds., Swedish National Committee for Mechanics, in Swedish, 67-85, 2000.
• Dankowicz, H., “Dynamical Friction Modeling,” Computational Methods in Contact Mechanics II, M. H. Aliabadi and A. Samartin, eds., Computational Mechanics Publications, 227-236, 1997.
• Elezgaray, J., G. Berkooz, H. Dankowicz, P. Holmes, and M. Meyers, “Local Models and Large Scale Statistics of the Kuramoto-Sivashinsky Equation,” in Multiscale Wavelet Methods for Partial Differential Equations, W. Dahmen, A. Kurdila, and P. Oswald, eds., Academic Press, 441-471, 1997.

Selected Articles in Journals

• Mao, Y. and H. Dankowicz, “Design of Active Network Filters as Hysteretic Sensors,” Nonlinear Dynamics, 2022
• Li, Y. and H. Dankowicz, “Model-free Continuation of Periodic Orbits in Certain Nonlinear Systems Using Continuous-Time Adaptive Control,” Nonlinear Dynamics, 2022
• Dankowicz, H. and J. Sieber, "Sensitivity Analysis for Periodic Orbits and Quasiperiodic Invariant Tori Using the Adjoint Method," Journal of Computational Dynamics, 9(3), 2022
• Ahsan, Z., Dankowicz, H., Li, M., and J. Sieber, "Methods of Continuation and their Implementation in the COCO Software Platform with Application to Delay Differential Equations," Nonlinear Dynamics, 107, 3181-3243, 2022
• Li, M. and H. Dankowicz, “A Unified Analytical Framework for a Class of Optimal Control Problems on Networked Systems," IEEE Transactions on Control of Network Systems, 8(4), 1822-1832, 2021
• Mao, Y. and H. Dankowicz, “Topology-dependent Excitation Response of Networks of Linear and Nonlinear Oscillators,” ASME Journal of Computational and Nonlinear Dynamics, 16(4), 041001 1-10, 2021
• Li, Y. and H. Dankowicz, “Adaptive Control Designs for Control-Based Continuation of Periodic Orbits in a Class of Uncertain Linear Systems,” Nonlinear Dynamics, 103, 2563–2579, 2021.
• Rodriguez Reina, A., Nguyen, K.-D. and H. Dankowicz, "Experimental Validation of an Adaptive Controller for Manipulators on a Dynamic Platform," Robotica, 39(4), 582-605, 2021 .
• Li, Y. and H. Dankowicz, “Adaptive Control Designs for Control-Based Continuation in a Class of Uncertain Discrete-Time Dynamical Systems,” Journal of Vibration and Control, 26(21-22), 2092-2109, 2020.
• Dankowicz, H., Wang, Y., Schilder, F., and M.E. Henderson “Multi-Dimensional Manifold Continuation for Adaptive Boundary-Value Problems,” ASME Journal of Computational and Nonlinear Dynamics, 15(5), 051002 1-8, 2020.
• Li, M. and H. Dankowicz, "Optimization with Equality and Inequality Constraints Using Parameter Continuation," Applied Mathematics and Computation, 375, 125058 1-20, 2020.
• Ahsan, Z., Dankowicz, H. and J. Sieber, "Optimization along Families of Periodic and Quasiperiodic Orbits in Dynamical Systems with Delay," Nonlinear Dynamics, 99(1), 837-854, 2020.
• Nguyen, K.-D. and H. Dankowicz, “Input-Delay Compensation in a Robust Adaptive Control Framework,” IET Control Theory & Applications, 13(11), 1718-1727, 2019.
• Ahsan, Z. and H. Dankowicz, "Optimal Scheduling and Sequencing for Large-Scale Seeding Operations," Computers and Electronics in Agriculture, 163, 104728 1-9, 2019.
• Li, M. and H. Dankowicz, "Impact of Temporal Network Structures on the Speed of Consensus Formation in Opinion Dynamics," Physica A, 523, 1355-1370, 2019.
• Gernat, T., Rao, V.D., Middendorf, M., Dankowicz, H., Goldenfeld, N., and G.E. Robinson, "Automated Monitoring of Behavior Reveals Bursty Interaction Patterns and Rapid Spreading Dynamics in Honey Bee Social Networks," Proceedings of the National Academy of Sciences, art. no. 201713568, 2018.
• Li, M., Rao, V.D., Gernat, T., and H. Dankowicz, "Lifetime-Preserving Reference Models for Characterizing Spreading Dynamics on Temporal Networks," Scientific Reports 8, art. no. 709, 2018.
• Li, M. and H. Dankowicz, "Staged Construction of Adjoints for Constrained Optimization of Integro-Differential Boundary-Value Problems," SIAM Journal on Applied Dynamical Systems, 17(2), 1117-1151, 2018.
• Saghafi, M., H. Dankowicz, and W. Tabor, “Emergent Task-Differentiation in Network Filters,” SIAM Journal on Applied Dynamical Systems, 16(3), pp. 1686–1709, 2017.
• Nguyen, K.-D., Y. Li, and H. Dankowicz, “Delay Robustness of an Adaptive Controller for a Class of Systems with Unknown Matched Nonlinearities,” IEEE Transactions on Automatic Control, 62(10), pp. 5485-5491, 2017.
• Nguyen, K.-D. and H. Dankowicz, “Cooperative Control of Networked Robots on a Dynamic Platform in the presence of Communication Delays,” International Journal of Robust and Nonlinear Control, 27(9), pp. 1433-1461, 2016.
• Saghafi, M., H. Dankowicz, and W. Lacarbonara, "Nonlinear tuning of microresonators for dynamic range enhancement,” Proceedings of the Royal Society A, 471, art. 20140969, 2015.
• Saghafi, M., H. Dankowicz, and M. West, “On the Use of Nonlinear Boundary-Value Problems to Estimate the Cloud-Formation Potential of Aerosol Particles,” SIAM Journal on Applied Dynamical Systems, 14(2), pp. 822-859, 2015.
• Sanghvi, P. and H. Dankowicz, "A Consistent, Hybrid-Dynamical-System, Lumped-Parameter Model of Tire-Terrain Interactions," ASME Journal of Computational and Nonlinear Dynamics, 10(3), art. no. 031002, 2015.
• Nguyen, K.-D. and H. Dankowicz, "Adaptive Control of Underactuated Robots with Unmodeled Dynamics," Robotics and Autonomous Systems, 64, pp. 84-99, 2015.
• Saghafi, M. and H. Dankowicz, “Singularities in Differential-Algebraic Boundary-Value Problems Governing the Excitation Response of Beam Structures,” ASME Journal of Computational and Nonlinear Dynamics, 10(1), art. no. 011017, 2015. Paper presented at the ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (DETC2013-13115).
• Jeffrey, M.R. and H. Dankowicz, "Discontinuity-Induced Bifurcation Cascades in Flows and Maps with Application to Models of the Yeast Cell Cycle," Physica D, 271, pp. 32-47, 2014.
• DiBerardino, L.A. III and H. Dankowicz, "Accounting for Nonlinearities in Protocols for Fault Compensation," ASME Journal of Computational and Nonlinear Dynamics, 9:2, art no. 021002, 2014. Paper presented at the ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (DETC2012-70387).
• Keefer, M.W., S.E. Wilson, H. Dankowicz, and M.C. Loui, "The Importance of Formative Assessment in Science and Engineering Ethics Education: Some Evidence and Practical Advice," Science and Engineering Ethics, 20:1, pp. 249-260, 2014.
• Tabor, W., P.W. Cho, and H. Dankowicz, "Birth of an Abstraction: A Dynamical Account of the Discovery of an Elsewhere Principle in an Artificial Lexicon Task," Cognitive Science, 37:7, pp. 1193-1227, 2013.
• Formica, G., A. Arena, W. Lacarbonara, and H. Dankowicz, "Coupling FEM with Parameter Continuation for Analysis and Bifurcations of Periodic Responses in Nonlinear Structures," ASME Journal of Computational and Nonlinear Dynamics, 8:2, art no. 021013, 2013
• Kijowski, D., H. Dankowicz, and M. Loui, "Observations on the Responsible Development and Use of Computational Models and Simulations," Science and Engineering Ethics, 19, pp. 63-81, 2013
• Park, K., H. Dankowicz, and E. Hsiao-Wecksler, "Characterization of Spatiotemporally Complex Gait Patterns using Cross-correlation Signatures," Gait and Posture, 36:1, pp. 120-126, 2012.
• Dankowicz, H. and M. Katzenbach, "Discontinuity-induced Bifurcations in Models of Mechanical Contact, Capillary Adhesion, and Cell Division: A Common Framework," Physica D, 241:22, pp. 1869-1881, 2012.
• Wilcox, B. and H. Dankowicz, "An Experimental Testbed for Investigating Nonsmooth Bifurcations in an Electromechanical System," Journal of Vibration and Control, 18:4, pp. 521-535, 2012.
• Dankowicz, H. and W. Lacarbonara, "On Various Representations of Higher-order Approximations of the Oscillatory Response of Nonlinear Dynamical Systems," Journal of Sound and Vibration, 330:14, pp. 3410-3423, 2011.
• Reinke, R., H. Dankowicz, J. Phelan, and W. Kang, "A Dynamic Grain Flow Model for a Mass Flow Yield Sensor on a Combine," Precision Agriculture, 12:5, 732-749, 2011.
• Wilcox, B. and H. Dankowicz, "Limit-switch Sensor Functionality Based on Discontinuity-Induced Nonlinearities," ASME Journal of Computational and Nonlinear Dynamics, 6:3, 031004, 2011. Paper presented at the ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (DETC2009-86560).
• Nordmark, A., H. Dankowicz, and A. Champneys, "Friction-Induced Reverse Chatter in Rigid-Body Mechanisms with Impacts," IMA Journal of Applied Mathematics, 76:1, 85-119, 2011.
• Dankowicz, H. and F. Schilder, "An Extended Continuation Problem for Bifurcation Analysis in the Presence of Constraints," ASME Journal of Computational and Nonlinear Dynamics, 6:3, 031003, 2011. Paper presented at the ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (DETC2009-86343).
• Reinke, R., H. Dankowicz, and J. Phelan (note, incorrect author order in publisher's typeset version: Erratum published in Vol 5:1, p. 420, 2012), "Modeling and Calibration of Combine, Impact Plate, Yield Sensors," SAE Int. J. Commer. Veh., 3, 241-249, 2010. Publisher-initiated reprint of conference paper from Society of Automotive Engineers 2010 Commercial Vehicle Engineering Congress and Exhibition, Rosemont, Illinois, October 5-6, 2010.
• Misra, S., and H. Dankowicz, "Control of Near-Grazing Dynamics and Discontinuity-Induced Bifurcations in Piecewise-Smooth Dynamical Systems," International Journal of Robust and Nonlinear Control, 20(16), 1836-1851, 2010.
• Misra, S., H. Dankowicz, and M. R. Paul, "Degenerate Discontinuity-Induced Bifurcations in Tapping-Mode Atomic-Force Microscopy," Physica D, 239, 33-43, 2010.
• Svahn, F. and H. Dankowicz, "Controlled Onset of Low-Velocity Collisions in a Vibro-Impacting System with Friction," Proceedings of the Royal Society of London, series A, 465, 3647-3665, 2009.
• Wilcox, B., F. Svahn, H. Dankowicz, and J. Jerrelind, "Transient Growth Rates of Near-Grazing Impact Velocities: Theory and Experiments," Journal of Sound and Vibration, 325, 950-958, 2009.
• Dankowicz, H. and M.R. Paul, "Discontinuity-Induced Bifurcations in Systems with Hysteretic Force Interactions," ASME Journal of Computational and Nonlinear Dynamics, 4, 041009 1-6, 2009. Paper presented at the ASME 2008 Eight Biennial Conference on Engineering Systems Design and Analysis (ESDA2008-59293).
• Nordmark, A., H. Dankowicz, and A. Champneys, "Discontinuity-induced Bifurcations in Systems with Impact and Friction; Discontinuities in the Impact Law," International Journal of Non-Linear Mechanics, 44, 1011-1023, 2009.
• Eriten, M. and H. Dankowicz, “A Rigorous Dynamical-Systems-Based Analysis of the Self-Stabilizing Influence of Muscles,” ASME Journal of Biomechanical Engineering, 131, 011011 1-8, 2009. Paper presented at the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (DETC2007-34469).
• Kang, W., B. Wilcox, H. Dankowicz, and P. Thota, “Bifurcation Analysis of a Microactuator Using a New Toolbox for Continuation of Hybrid System Trajectories,” ASME Journal of Computational and Nonlinear Dynamics, 4:1, 011009 1-8, 2009. Paper presented at the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (DETC2007-34441).
• Hashemi, N., M.R. Paul, H. Dankowicz, M. Lee, and W. Jhe, “The Dissipated Power in Atomic Force Microscopy due to Interactions with a Capillary Fluid Layer,” Journal of Applied Physics, 104, 063518 1-5, 2008.
• Thota, P, and H. Dankowicz, “TC-HAT: A Novel Toolbox for the Continuation of Periodic Trajectories in Hybrid Dynamical Systems,” SIAM Journal of Dynamical Systems, 7:4, 1283-1322, 2008.
• Hashemi, N., H. Dankowicz, and M.R. Paul, “The Nonlinear Dynamics of Tapping Mode Atomic Force Microscopy with Capillary Force Interaction,” Journal of Applied Physics, 103, 093512 1-6, 2008.
• Misra, S., H. Dankowicz, and M. Paul, “Event-driven Feedback Tracking and Control of Tapping-Mode Atomic Force Microscopy,” Proceedings of the Royal Society of London, series A, 464, 2113-2133, 2008.
• Svahn, F., and H. Dankowicz, “Energy Transfer in Vibratory Systems with Friction due to Low-velocity Collisions,” Journal of Vibration and Control, 14: 1-2, 255-284, 2008.
• Dankowicz, H. and F. Svahn, “On the Stabilizability of Near-grazing Dynamics in Impact Oscillators,” International Journal of Robust and Nonlinear Control, 17:15, 1405-1429, 2007.
• Thota, P., S. MacLaren, and H. Dankowicz, “Controlling Bistability in Tapping-Mode AFM using Dual Frequency Excitation,” Applied Physics Letters, 91:9, Art No. 093108, 2007.
• Dankowicz, H., X. Zhao, and S. Misra, “Near-grazing Dynamics in Tapping-mode Atomic Force Microscopy,” International Journal of Non-Linear Mechanics, 42:4, 697-709, 2007.
• Dankowicz, H., “On the Purposeful Coarsening of Smooth Vector Fields,” Nonlinear Dynamics, 50:3, 511-522, 2007.
• Thota, P., X. Zhao, and H. Dankowicz, “Co-dimension-two Grazing Bifurcations in Single-degree-of-freedom Impact Oscillators,” ASME Journal of Computational and Nonlinear Dynamics, 1:4, 328-335, 2006.
• Thota, P. and H. Dankowicz, “Analysis of Grazing Bifurcations of Quasiperiodic System Attractors,” Physica D, 220, 163-174, 2006.
• Dankowicz, H., “Nonlinear Dynamics as an Essential Tool for Nondestructive Characterization of Soft Nanostructures using Tapping Mode Atomic Force Microscopy,” Christmas 2006 issue of Philosophical Transactions of the Royal Society of London, 364, 3505-3520, 2006.
• Dankowicz, H. and G. Thakur, “A Newton Method for Locating Invariant Tori of Maps,” International Journal of Bifurcation and Chaos, 16:5, 1491-1503, 2006.
• Jerrelind, J., and H. Dankowicz, “A Global Control Strategy for Efficient Control of a Braille Impact Hammers,” Journal of Vibration and Acoustics-Transactions of the ASME, 128:2, 184-189, 2006.
• Zhao, X. and H. Dankowicz, “Characterization of Intermittent Contact in Tapping-Mode Atomic Force Microscopy,” ASME Journal of Computational and Nonlinear Dynamics, 1:2, 1-8, 2006. Paper presented at the ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (DETC2005-84741).
• Zhao, X. and H. Dankowicz, “Control of Impact Microactuators for Precise Positioning,” ASME Journal of Computational and Nonlinear Dynamics, 1:1, 65-70, 2006.
• Zhao, X. and H. Dankowicz, “Unfolding Degenerate Grazing Dynamics in Impact Actuators,” Nonlinearity, 19, 399-418, 2006.
• Thota, P. and H. Dankowicz, “Continuous and Discontinuous Grazing Bifurcations in Impacting Oscillators,” Physica D, 214, 187-197, 2006.
• Dankowicz, H. and J. Jerrelind, “Control of Near-grazing Dynamics in Impact Oscillator,” Proc. Roy. Soc. London A, 461:2063, 3365-3380, 2005.
• Dankowicz, H. and X. Zhao, “Local Analysis of Co-Dimension-One and Co-Dimension-Two Grazing Bifurcations in Impact Microactuators,” Physica D, 202, 238-257, 2005.
• Piiroinen, P. and H. Dankowicz, “Low-Cost Control of Repetitive Gait in Passive Bipedal Walkers,” International Journal of Bifurcation and Chaos, 15:6, 1959-1973, 2005.
• Zhao, X., H. Dankowicz, C. K. Reddy, and A. H. Nayfeh, “Modeling and Simulation Methodology for Impact Microactuators,” Journal of Micromechanics and Microengineering, 14, 775-784, 2004.
• Piiroinen, P., H. Dankowicz, and A. B. Nordmark, “Breaking Symmetries and Constraint Transitions from 2D to 3D in Passive Walkers,” Multibody Systems Dynamics, 10:2, 147-176, 2003.
• Dankowicz, H. and P. Piiroinen, “Exploiting Discontinuities for Stabilization of Recurrent Motions,” Dynamical Systems, 17:4, 317-342, 2002.
• Dankowicz, H., P. Piiroinen, and A. B. Nordmark, “Low-Velocity Impacts of Quasi-Periodic Oscillations,” Chaos, Solitons, and Fractals, 14:2, 241-255, 2002.
• Dankowicz, H., “Slow Diffusion an Effective Stability of Dust Particles Orbiting Asteroids,” Celestial Mechanics and Dynamical Astronomy, 84:1, 1-25, 2002.
• Piiroinen, P., H. Dankowicz, and A. B. Nordmark, “On a Normal Form Analysis for a Class of Bipedal Walkers,” International Journal of Bifurcation and Chaos, 11:9, 2411-2425, 2001.
• Adolfsson, J., H. Dankowicz, and A. B. Nordmark, “3D Passive Walkers: Stability Analysis in the Presence of Discontinuities,” Nonlinear Dynamics, 24:2, 205-229, 2001.
• Dankowicz, H., J. Adolfsson, and A. B. Nordmark, “Repetitive Gait of Passive Bipedal Mechanisms in a Three-Dimensional Environment,” Journal of Biomechanical Engineering, 123, 40-46, 2001.
• Dankowicz, H. and A. B. Nordmark, “On the Origin and Bifurcations of Stick-Slip Oscillations, “ Physica D, 136:3-4, 280-302, 2000.
• Dankowicz, H., “On the Successive Constraints Approach to Multibody Mechanisms,” Multibody System Dynamics, 3, 267-286, 1999.
• Dankowicz, H., “On the Modeling of Dynamic Friction Phenomena,” ZAMM, 79:6, 399-409, 1999.
• Dankowicz, H., and B. D. Coller, “Evolving Control Strategies for Suppressing Heteroclinic Bursting,“ Dynamics and Control, 9:2, 149-171, 1999.
• Dankowicz, H., “Escape of Particles Orbiting Asteroids in the Presence of Radiation Pressure through Separatrix Splitting,“ Journal of Celestial Mechanics and Dynamical Astronomy, 67:1, 63-85, 1997.
• Thylwe, K.-E., and H. Dankowicz, “Nonlinear Phase-Integral Approximations of Stationary Waves in Nonhomogeneous Systems,” Journal of Physics A: Mathematical and General, 30, 697-710, 1996.
• Thylwe, K.-E., and H. Dankowicz, “Time-Dependent Normal Form Hamiltonian for Dynamical Equilibria,” Journal of Physics A: Mathematical and General, 29, 3707-3722, 1996.
• Dankowicz, H., P. Holmes, G. Berkooz, and J. Elezgaray, “Local Models of Spatio-Temporally Complex Fields,” Physica D, 90, 387-407, 1996.
• Dankowicz, H., “Analytical Expressions for Stable and Unstable Manifolds in Higher Degree of Freedom Systems,” International Journal of Bifurcation and Chaos, 6:11, 1997-2013, 1996.
• Dankowicz, H., “Looking for Chaos. An Extension and Alternative to Melnikov’s Method,” International Journal of Bifurcation and Chaos, 6:3, 485-496, 1996.
• Dankowicz, H., “The Two-Body Problem with Radiation Pressure in a Rotating Reference Frame,” Journal of Celestial Mechanics and Dynamical Astronomy, 61:3, 287-313, 1995.
• Dankowicz, H. and P. Holmes, “The Existence of Transverse Homoclinic Points in the Sitnikov Problem,” Journal of Differential Equations, 116:2, 468-483, 1995.
• Dankowicz, H., “Some Special Orbits in the Two-Body Problem with Radiation Pressure,” Journal of Celestial Mechanics and Dynamical Astronomy, 58, 353-370, 1994.

Articles in Conference Proceedings

• Ahsan, Z., Kuehn, C., and H. Dankowicz, “A Boundary Value Problem for Covariance Analysis of Stochastically Perturbed Limit Cycles,” in Proceedings of the 18th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, held as part of the ASME 2022 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, St Louis, MO, 2022, DETC2022-91153
• Marry, C., H. Dankowicz, and G. Krishnan, “Continuation-Based Design of Self-Contacting Soft Robotic Manipulators,” in Advances in Nonlinear Dynamics, Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021), (eds: W. Lacarbonara et al.), Springer Nature Switzerland, pp. 341-350, 2022
• Li, Y., K.-D. Nguyen, and H. Dankowicz, “A Robust Adaptive Controller for a Seed Refilling System on a Moving Platform,” Proceedings of Agricontrol 2016, Seattle, Washington, 2016.
• Markov, M., Saghafi, M., Hiskens, I.A., and Dankowicz, H. (2014) "Continuation Techniques for Reachability Analysis of Uncertain Power Systems,” Proceedings of 2014 IEEE International Symposium on Circuits and Systems, Melbourne, Australia, 2014.
• Tabor, W., R. Ritchie, and H. Dankowicz, "Language Emergence in the Laboratory: A Method Suitable to Dynamical Systems Analysis," Proceedings of 10th Biennial Evolution of Language Conference, Vienna, Austria, 2014.
• Nguyen, K.-D. and H. Dankowicz, "Synchronization and Consensus of a Robot Network on an Underactuated Dynamic Platform,” Proceedings of 2014 IEEE/RSJ International Conference on Intelligent Robots and Systems, Chicago, IL, 2014.
• Nguyen, K.-D. and H. Dankowicz, “Principles of Dynamics for Design Applied to a Brush-Belt Material-Transfer System,” Proceedings of the 2nd ASME International Biennial Conference on Dynamics for Design, Buffalo, NY, 2014.
• Saghafi, M. and H. Dankowicz, "Nondegenerate Continuation Problems for the Excitation Response of Nonlinear Beam Structures," Proceedings of the 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, held as part of the ASME 2013 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Portland, OR, 2013.
• Nguyen, K.-D., H. Dankowicz, and N. Hovakimyan, "Marginal Stability in L1-Adaptive Control of Manipulators," Proceedings of the 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, held as part of the ASME 2013 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Portland, OR, 2013.
• Sanders, J.W., H. Dankowicz, and W. Lacarbonara, "Design and Analysis of a Microelectromechanical Device Capable of Testing Theoretical Models of Impact at the Microscale," Proceedings of the 1st Biennial International Conference on Dynamics for Design, held as part of the ASME 2012 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Chicago, IL, 2012.
• Reinke, R.E., and H. Dankowicz, "Self-Calibrating Mass Flow Sensor," Proceedings of the 1st Biennial International Conference on Dynamics for Design, held as part of the ASME 2012 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Chicago, IL, 2012.
• DiBerardino, L. and H. Dankowicz, "Accounting for Nonlinearities in Protocols for Open-Loop Fault Compensation," Proceedings of the 1st Biennial International Conference on Dynamics for Design, held as part of the ASME 2012 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Chicago, IL, 2012.
• Formica, G., A. Arena, W. Lacarbonara, and H. Dankowicz, "General-purpose Finite Element-based Path Following of Nonlinear Dynamical Systems," XX Congresso Associazione Italiana Di Meccanica Teorica E Applicata, AIMETA 2011, Bologna, Italy, September 12-15, 2011.
• Wilcox, B. and H. Dankowicz, "A Micro-Electro-Mechanical Realization of a Tunable Crowbar Device," Proceedings of 7th European Nonlinear Dynamics Conference (ENOC 2011), Rome, Italy, July 24-29, 2011.
• Schilder, F., E. Bureau, J. Starke, H. Dankowicz, and J. Sieber, "A Matlab Continuation Toolbox for Response Tracking in Experiments," Proceedings of 7th European Nonlinear Dynamics Conference (ENOC 2011), Rome, Italy, July 24-29, 2011.
• Dankowicz, H., F. Schilder, and M. Saghafi, "Continuation of Connecting Orbits with Lin's Method Using COCO," Proceedings of 7th European Nonlinear Dynamics Conference (ENOC 2011), Rome, Italy, July 24-29, 2011.
• Reinke, R., H. Dankowicz, and J. Phelan, "Modeling and Calibration of Combine, Impact Plate, Yield Sensors," Proceedings of the Society of Automotive Engineers 2010 Commercial Vehicle Engineering Congress and Exhibition, Rosemont, Illinois, October 5-6, 2010.
• Sanghvi, P., H. Dankowicz, and B.E. Romig,"A Steady-State Model for Interaction Between a Deformable Tire and a Deformable Terrain," Proceedings of the 12th International Conference on Advanced Vehicle and Tire Technologies held as part of the ASME 2010 IDETC/CIE, Montreal, Canada, August 15-18, 2010.
• Katzenbach, M. and H. Dankowicz, "Discontinuity-Induced Bifurcations due to Hysteretic Capillary Interactions in Tapping-Mode Atomic-Force Microscopy," Proceedings of the 4th International Conference on Micro- and Nanosystems to be held as part of the ASME 2010 IDETC/CIE, Montreal, Canada, August 15-18, 2010.
• Dankowicz, H. and W. Lacarbonara, "Geometrically Nonlinear Corrections to the Kirchhoff Beam Model," Proceedings of the Special Conference on Mechanical Vibration and Noise to be held as part of the ASME 2010 IDETC/CIE, Montreal, Canada, August 15-18, 2010.
• Wilcox, B. and H. Dankowicz, "Design of Limit-Switch Sensors Based on Discontinuity-Induced Nonlinearities," Proceedings of the 22nd ASME Biennial Conference on Mechanical Vibration and Noise, San Diego, California, USA, August 30-September 2, 2009.
• Wilcox, B., W. Lacarbonara, and H. Dankowicz, "Geometrically Nonlinear Continuum Models for Simulation of Impacting Dynamics in Electrostatically Actuated Microbeams," Proceedings of the 7th ASME International Conference on Multibody Systems, Nonlinear Dynamics, and Control, San Diego, California, USA, August 30-September 2, 2009.
• Dankowicz, H. and F. Schilder, "A Fundamental Fomrulation of an Extended Continuation Problem for Bifurcation Analysis in the Presence of Constraints," Proceedings of the 7th ASME International Conference on Multibody Systems, Nonlinear Dynamics, and Control, San Diego, California, USA, August 30-September 2, 2009.
• Dankowicz, H. and F. Svahn, “Controlled Onset of Low Velocity Collisions in Vibro-Impacting Systems with Friction,” Proceedings of the ICTAM 2008, Adelaide, Australia, SM03L_11065, August 24-29, 2008.
• Dankowicz, H. and M.R. Paul, “Discontinuity-Induced Bifurcations in Systems with Hysteretic Force Interactions,” Proceedings of the 9th Biennial ASME Conference on Engineering Systems Design and Analysis, Haifa, Israel, ESDA2008-59293, July 2008.
• Dankowicz, H., F. Svahn, and F. Schilder, "Near-Grazing Bifurcations in Mechanical Systems with Friction and Impacts," Proceedings of the 2009 NSF Engineering Research and Innovation Conference, Honolulu, Hawaii, June 22-25, 2009.
• Dankowicz, H., M.R. Paul, and S. Misra, "Control of Discontinuity-Induced Instabilities in Tapping-Mode Atomic-Force Microscopy," Proceedings of the 2009 NSF Engineering Research and Innovation Conference, Honolulu, Hawaii, June 22-25, 2009.
• Hashemi, N., M. Paul, and H. Dankowicz, "Exploring the Basins of Attraction of Tapping Mode Atomic Force Microscopy with Capillary Force Interactions," Proceedings of the ASME International Mechanical Engineering Congress and Exposition, Seattle, Washington, USA, IMECE2007-43778, November 2007.
• Eriten, M. and H. Dankowicz, “A Rigorous Dynamical-Systems-Based Analysis of the Self-Stabilizing Influence of Muscles,” Proceedings of the 6th ASME International Conference on Multibody Systems, Nonlinear Dynamics and Control, Las Vegas, NV, DETC2007-34469, September 2007.
• Kang, W., B. Wilcox, H. Dankowicz, and P. Thota, “Bifurcation Analysis of a Microactuator Using a New Toolbox for Continuation of Hybrid System Trajectories,” Proceedings of the 6th ASME International Conference on Multibody Systems, Nonlinear Dynamics and Control, Las Vegas, NV, DETC2007-34441, September 2007.
• Dankowicz, H., “Teaching Advanced Modeling of Multibody Mechanisms to Non-traditional Engineering Students,” Proceedings of the ASEE Illinois-Indiana and North Central Joint Section Conference, Fort Wayne, IN, CD, March 31-April 1, 2006.
• Chan, B. J., N. Thompson, C. Sandu, and H. Dankowicz, “A Novel Tire-soil Interaction Model for Simulation of Off-road Vehicles,” Proceedings of the 15th International Conference of the International Society for Terrain-Vehicle Systems, Hayama, Japan, 3A03, September 25-29, 2005.
• Zhao, X., and H. Dankowicz, “Characterization of Intermittent Contact in Tapping Mode Atomic Force Microscopy,” Proceedings of the Fifth ASME International Conference on Multibody Systems, Nonlinear Dynamics and Control, Long Beach, CA, DETC2005-84741, September 24-28, 2005.
• Dankowicz, H. and X. Zhao, “Near-Grazing Dynamics in Tapping-Mode Atomic Force Microscopy," Proceedings of European Nonlinear Oscillations Conference (ENOC) 2005, EUROMECH Nonlinear Dynamics Conference, Eindhoven, The Netherlands, 19-101, 2121-2130, August 7-12, 2005.
• Thota, P., X. Zhao, and H. Dankowicz, “Continuous and Discontinuous Grazing Bifurcations in Impact Oscillators,” Proceedings of ENOC 2005, EUROMECH Nonlinear Dynamics Conference, Eindhoven, The Netherlands, 01-118, 213-222, August 7-12, 2005.
• Zhao, X., H. Dankowicz, and A. Nayfeh, “Modeling of the Nonlinear Dynamics of Electrically Driven Impact Microactuators,” Proceedings of the 2004 International Conference on MEMS, NANO and Smart Systems, Banff, Canada, 700-705, August 25-27, 2004.
• Zhao, X. and H. Dankowicz, “Analysis of Grazing Bifurcations in Impact Microactuators,” Proceedings of the ICTAM 2004, Warsaw, Poland, SM17L_11020, August, 15-21, 2004.
• Zhao, X., H. Dankowicz, C. K. Reddy, and A. H. Nayfeh, “Dynamic Simulation of an Electrostatically Actuated Impact Microactuator,” Proceedings of 2004 Nanotechnology Conference and Trade Show, Boston, MA, 247-250, March 7-11, 2004.
• Jerrelind. J. and H. Dankowicz, “Low-Cost Control of Impact Hammer Performance,” Proceedings of the 19th Biennial Conference on Mechanical Vibration and Noise, Chicago, IL, 2003.
• Dankowicz, H., P. Piiroinen, and A. B. Nordmark, “Grazing Bifurcations of Initially Quasi-Periodic System Attractors,” Proceedings of 18th Biennial Conference on Mechanical Vibration and Noise, Pittsburgh, PA, 2001.
• Dankowicz, H. and A. B. Nordmark, “Stick-slip oscillations-Quo Vadis,” Proceedings of the 1st International Symposium on Impact and Friction of Solids, Structures and Intelligent Machines, Ottawa, Canada, World Scientific Publishing Co. Pte. Ltd., 95-98, 1998.

Other Publications

• Schilder, F. and H. Dankowicz, COCO - public-domain software package for general-purpose parameter continuation of sets of constrained orbit segments, 2007-present, see http://sourceforge.net/projects/cocotools.
• Dankowicz, H., Mambo Toolbox- public-domain plug-in for Maple, Mathematica, and Matlab for modeling and analysis of multi-body systems, 1998-2006, see http://netfiles.uiuc.edu/danko/www/Mambo.
• Dankowicz, H. et al., Mambo - public-domain software for modeling and analysis of multi-body systems, Royal Institute of Technology, Stockholm, Sweden 1999-2003 and Virginia Tech, 1999-2005, see http://netfiles.uiuc.edu/danko/www/Mambo.

Magazine Articles

• Dankowicz, H. and A. Stenport, "Illinois Launches Transnational Partnership Alliance with Leading Universities in Stockholm," Illinois International Review, Issue no. 13, Fall 2011, http://ilint.illinois.edu/iir/fall2011/stockholm.html.
• Dankowicz, H., "Book Review: System Dynamics for Engineering Students: Concepts and Applications," Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol 225, pp. 1021-1022, 2011.

Journal Editorships

• Editor-in-Chief, Applied Mechanics Reviews, 2012-2022
• Associate Editor, SIAM Journal of Applied Dynamical Systems, 2012-2016
• Member of Editorial Board, Journal of Computational Dynamics, 2011-2015
• Contributing Editor, International Journal of Non-Linear Mechanics, 2005-2011
• Associate Editor, ASME Journal of Computational and Nonlinear Dynamics, 2005-2011

Other Scholarly Activities

• NSF Science Nation, online video, June 2014: "No leader? Now what?" http://www.nsf.gov/news/special_reports/science_nation/complexsystems.jsp
• ASME Engineering News, online podcast, September 2011: "The Future of Machine Invention," http://www.asme.org/kb/news---articles/media/2011/09/future-of-machine-invention

Professional Societies

• Secretary, Board of Directors, Society of Engineering Science, 2010-2012
• Board of Directors, Society of Engineering Science, 2010-2012
• Chair, ASME Technical Committee on Multibody Systems and Nonlinear Dynamics, 2013-2015
• Vice-Chair, ASME Technical Committee on Multibody Systems and Nonlinear Dynamics, 2011-2013
• Secretary, ASME Technical Committee on Multibody Systems and Nonlinear Dynamics, 2009-2011
• Member, Society of Engineering Science, 2008-2012
• Member, ASME, Technical Committee on Multibody Systems and Nonlinear Dynamics, 2005 - 2017
• Member, American Society of Mechanical Engineers (ASME), 2002 - present
• Member, American Society for Engineering Education (ASEE), 2000 - present
• Member, EUROMECH, 1998 - 2001, 2011 - 2012
• Member, Society for Industrial and Applied Mathematics (SIAM), 1997 - present

Service on University Committees

• Associate Dean for Graduate, Professional and Online Programs, College of Engineering, UIUC, 2016-2021

Honors

• 2017 ASEE Archie Higdon Distinguished Educator Award (June 2017)
• 2013 ASEE Fred Merryfield Design Award (June 2013)
• ASME Fellow (August 2012)
• Honors Stipend and the Professor Gunnar Wallquist Medal, Royal Institute of Technology, 1992
• Fulbright Scholar, 1991-1995

Teaching Honors

• Rose Award for Teaching Excellence, University of Illinois at Urbana-Champaign, 2019
• Engineering Council Outstanding Advising Award, University of Illinois at Urbana-Champaign, 2016
• Collins Award for Innovative Teaching, College of Engineering, University of Illinois at Urbana-Champaign, 2012
• List of Teachers Ranked as Excellent by Their Students, University of Illinois at Urbana-Champaign, Spring 2009, Spring 2010, Spring 2011, Summer 2016, Summer 2017
• W. S. ‘Pete’ White Innovation in Engineering Education Award, Virginia Polytechnic Institute and State University, 2004
• “Dean’s List” for instruction, Virginia Polytechnic Institute and State University, Fall 2000 and 2001

Research Honors

• Winner, DSWeb 2018 Software Contest, July 2018.
• Invited Lecturer, 2016 New Zealand Mathematics Research Institute Summer School on Continuation Methods in Dynamical Systems, Raglan, New Zealand, January 2016
• William Pierson Field Visiting Lecturer, Princeton University, December 2014
• Keynote Lecturer, 17th US National Congress on Theoretical & Applied Mechanics, East Lansing, Michigan, June 2014
• Associate, Center for Advanced Study, UIUC, 2011-2012
• Visiting Professor Fellowship, Sapienza University of Rome, Rome, Italy, December 2009
• Invited visiting researcher, Complex Non-Smooth Dynamical Systems, Centre de Recerca Matematica, Universita Autonoma de Barcelona, Spain, 2007
• Cannon Faculty Scholar, UIUC, 2005-present
• College of Engineering Faculty Fellow, Virginia Tech, 2004-2005
• PECASE, Presidential Early Career Award for Scientists and Engineers, 2003
• CAREER award, Division of Civil and Mechanical Systems, National Science Foundation, Jointly funded by the Dynamics and Control program and the Biomedical Engineering program, 2003-2010
• Swedish Foundation for Strategic Research Junior Individual Grant, 1998-2000
• Göran Gustafsson Postdoctoral Fellowship, KTH, 1995-1996