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Lyapunov–Schmidt Approach to Studying Homoclinic Splitting in Weakly Perturbed Lagrangian and Hamiltonian Systems

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Abstract

We analyze the geometric structure of the Lyapunov–Schmidt approach to studying critical manifolds of weakly perturbed Lagrangian and Hamiltonian systems.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. M. Samoilenko

  2. Institute for Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, Lviv; University of Mining and Metallurgy, Poland

    A. K. Prykarpats'kyi

  3. Shevchenko Kiev University, Kiev

    V. H. Samoilenko

Authors
  1. A. M. Samoilenko
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  2. A. K. Prykarpats'kyi
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  3. V. H. Samoilenko
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Samoilenko, A.M., Prykarpats'kyi, A.K. & Samoilenko, V.H. Lyapunov–Schmidt Approach to Studying Homoclinic Splitting in Weakly Perturbed Lagrangian and Hamiltonian Systems. Ukrainian Mathematical Journal 55, 82–92 (2003). https://doi.org/10.1023/A:1025072619144

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  • DOI: https://doi.org/10.1023/A:1025072619144

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