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

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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Bibliographic Details
Date:2003
Main Authors: Prykarpatsky, A. K., Samoilenko, A. M., Samoilenko, V. G., Прикарпатський, А. К., Самойленко, А. М., Самойленко, В. Г.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2003
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3888
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal