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Planar hybrid systems

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Hybrid Systems II (HS 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 999))

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References

  1. A. A. Andronov, & L. Pontryagin, Systèms Grossiers, Dokl. Akad. Nauk. SSSR, 14, 247–251, (1937).

    Google Scholar 

  2. L. Back, J. Guckenheimer, & M. Meyers, “A Dynamical Simulation Facility for Hybrid Systems,” Springer Lecture notes in Comp. Sci., 736, 255–267, (1993).

    Google Scholar 

  3. de Melo & van Strien, “One Dimensional Dynamics,” Springer.

    Google Scholar 

  4. X. Feng, & K. Loparo, “Chaotic Motion and its Probabilistic Description in a Family of Two Dimensional Nonlinear Systems with Hysteresis,” J. of Nonlinear Science, 12 #8, (1991).

    Google Scholar 

  5. J. Guckenheimer, “Sensitive Dependence on Initial Conditions for One Dimensional Maps,” Comm. Math. Phys., 70, 133–160, (1980).

    Google Scholar 

  6. J. Guckenheimer, “A Robust Stabilization Strategy for Equilibria,” IEEE Trans. Automatic Control, in press, (1995).

    Google Scholar 

  7. S. Johnson, “Simple Hybrid Systems,” Int. J. of Bifurcation & Chaos, to appear.

    Google Scholar 

  8. D.E. Koditscheck & M. Buhler, “An Analysis of a Simplified Hopping Robot,” Int. J. Robotics Research, to appear.

    Google Scholar 

  9. A. Lasota & J. Yorke, “On the Existence of invariant Measures for Piecewise Monotonic Transformations,” Trans. Amer. Math. Soc, 186 #12, (1973).

    Google Scholar 

  10. S. Sternberg, “On the Structure of Local Homeomorphisms of Euclidean n-Space, II,” Amer. J. Math., 80, 623–631, (1958).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Mathematics Department, Cornell University, 14853, Ithaca, NY

    John Guckenheimer

  2. Department of Mathematics, Williams College, 01267, Williamstown, MA

    Stewart Johnson

Authors
  1. John Guckenheimer
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  2. Stewart Johnson
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Editor information

Panos Antsaklis Wolf Kohn Anil Nerode Shankar Sastry

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© 1995 Springer-Verlag Berlin Heidelberg

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Guckenheimer, J., Johnson, S. (1995). Planar hybrid systems. In: Antsaklis, P., Kohn, W., Nerode, A., Sastry, S. (eds) Hybrid Systems II. HS 1994. Lecture Notes in Computer Science, vol 999. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60472-3_11

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  • DOI: https://doi.org/10.1007/3-540-60472-3_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60472-3

  • Online ISBN: 978-3-540-47519-4

  • eBook Packages: Springer Book Archive

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