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

• Datum: 2003
• Hauptverfasser: Prykarpatsky, A. K., Samoilenko, A. M., Samoilenko, V. G., Прикарпатський, А. К., Самойленко, А. М., Самойленко, В. Г.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2003
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3888
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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