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Hamiltonian Systems, Lyapunov Functions, and Stability

  • Stephen Lynch

Abstract

  • To study Hamiltonian systems in the plane.

  • To investigate stability using Lyapunov functions.

Keywords

Saddle Point Hamiltonian System Lyapunov Function Phase Portrait Homoclinic Orbit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Recommended Reading

  1. 1.
    G. M. Zaslaysky, Physics of Chaos in Hamiltonian Systems, World Scientific, Singapore, 1998.CrossRefGoogle Scholar
  2. 2.
    J. Cronin, Differential Equations: Introduction and Qualitative Theory, Marcel Dekker, New York, 1994.MATHGoogle Scholar
  3. 3.
    J. Moser, Recent developments in the theory of Hamiltonian systems, SIAM Rev., 28-4 (1986), 459-485.Google Scholar
  4. 4.
    M. W. Hirsch and S. Smale, Differential Equations, Dynamical Systems and Linear Algebra, Academic Press, New York, 1974.MATHGoogle Scholar
  5. 5.
    V. V. Nemitskii and V. V. Stepanov, Qualitative Theory of Differential Equations, Princeton University Press, Princeton, NJ, 1960.Google Scholar

Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Stephen Lynch
    • 1
  1. 1.Department of Computing and MathematicsManchester Metropolitan UniversityManchesterUK

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