Selected Publications

Edited Special Issues:

  1. A. Shukla and X. Zhao, Discontinuous Dynamical Systems: Modeling, Analysis, and Control, a special issue in Nonlinear Dynamics, Vol. 50, No. 3, pp. 373-742, 2007

Book Chapters:

  1. X. Zhao, "Discontinuity Mapping for Near-grazing Dynamics in Vibro-impact Oscillators," Book edited by Raouf Ibrahim

Journal Publications:

  1. X. Zhao, "Indeterminacy of Spatiotemporal Cardiac Alternans," Physical Review E, 78, 011902, 2008. Selected to appear in the July 15, 2008 issue of Virtual Journal of Biological Physics Research.

  2. X. Zhao, D.G. Schaeffer, C.M. Berger, D.J. Gauthier, and W. Krassowska, "Cardiac Alternans Arising from an Unfolded Border-collision bifurcation," Journal of Computational and Nonlinear Dynamics, 4, 041004, 2008

  3. D.G. Schaeffer, W. Ying, and X. Zhao, "Asymptotic Approximation of an Ionic Model for Cardiac Restitution," Nonlinear Dynamics, Vol. 51, pp. 189-198, 2008

  4. X. Zhao, D.G. Schaeffer, "Alternate Pacing of Border-collision Period-doubling Bifurcations," Nonlinear Dynamics, Vol. 50, pp. 733-742, 2007

  5. C.M. Berger, X. Zhao, D.G. Schaeffer, W. Krassowska, H.M. Dobrovolny, and D.J. Gauthier, "Period-doubling bifurcation to alternans in paced cardiac tissue: Crossover from smooth to border-collision characteristics," Physical Review Letters, Vol. 99, 058101, 2007. Selected to appear in the Virtual Journal of Biological Physics Research, Volume 14, Issue 3, August 1, 2007

  6. H. Dankowicz, X. Zhao, S. Misra, "Near-Grazing Dynamics in Tapping-Mode Atomic Force Microscopy," International Journal of Non-linear Mechanics, Vol. 42, pp. 697-709, 2007

  7. X. Zhao, D.G. Schaeffer, C.M. Berger, and D.J. Gauthier, "Small Signal Amplification of Period-doubling Bifurcations in Smooth Iterated Maps," Nonlinear Dynamics, Vol. 48, pp. 381-389, 2007

  8. X. Zhao and H. Dankowicz, "Unfolding Degenerate Grazing Dynamics in Impact Actuators," Nonlinearity, Vol. 19, pp. 399-418, 2006

  9. X. Zhao and H. Dankowicz, "Characterization of Intermittent Contacts in Tapping Mode Atomic Force Microscopy," ASME Journal of Computational and Nonlinear Dynamics, Vol. 2, 2006

  10. P. Thota, X. Zhao, and H. Dankowicz, "Co-dimension-two grazing bifurcations in single-degree-of-freedom impact oscillators," ASME Journal of Computational and Nonlinear Dynamics, Vol. 1, pp. 328-335, 2006

  11. X. Zhao and H. Dankowicz, "Control of Impact Microactuators for Precise Positioning," ASME Journal of Computational and Nonlinear Dynamics, Vol. 1, pp. 65-70, 2006

  12. H. Dankowicz and X. Zhao, "Local Analysis of Co-dimension-one and Co-dimension-two grazing bifurcations in Impact Microatuators", Physica D, Vol. 202, pp. 238-257, 2005

  13. X. Zhao, C.K. Reddy, and A.H. Nayfeh, "Nonlinear Dynamics of an Electrically Driven Impact Microactuator", Nonlinear Dynamics, Vol. 40, pp. 227-239, 2005

  14. X. Zhao, H. Dankowicz, C.K. Reddy, and A.H. Nayfeh, "Modeling and Simulation Methodology for Impact Microactuators", Journal of Micromechanics and Microengineering, Vol. 14, pp. 775-784, 2004

  15. X. Zhao, E.M. Abdel-Rahman, and A.H. Nayfeh, "A Reduced-Order Model for Electrically Actuated Microplates", Journal of Micromechanics and Microengineering, Vol. 14, pp. 900-906, 2004