Singular Perturbation in Hamiltonian Mechanics

  • A. D. Bruno
Part of the NATO ASI Series book series (NSSB, volume 331)


Recently I have developed an algorithm of the local analysis of singularities. It is equally applied in the systems of algebraic equations and in the systems of ordinary equations and in the partial differential equations [1,2]. Here I shall show its effectivity by two examples of Hamiltonian systems. Indeed I prefer to study properties of arbitrary systems and to apply them to the Hamiltonian systems [3].


Periodic Solution Hamiltonian System Singular Perturbation Hamiltonian Function Restricted Problem 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • A. D. Bruno
    • 1
  1. 1.Institute of Applied MathematicsRussian Academy of SciencesMoscowRussia

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