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

  • 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.
Published
25.01.2003
How to Cite
Prykarpatsky, A. K., A. M. Samoilenko, and V. G. Samoilenko. “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.
Issue
Vol 55 No 1 (2003)
Section
Research articles