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

Authors

  • A. K. Prykarpatsky
  • A. M. Samoilenko
  • V. G. Samoilenko

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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Published

25.01.2003

Issue

Vol. 55 No. 1 (2003)

Section

Research articles

How to Cite

Prykarpatsky, A. K., et al. “Lyapunov–Schmidt Approach to Studying Homoclinic Splitting in Weakly Perturbed Lagrangian and Hamiltonian Systems”. Ukrains’kyi Matematychnyi Zhurnal, vol. 55, no. 1, Jan. 2003, pp. 66-74, https://umj.imath.kiev.ua/index.php/umj/article/view/3888.