2017
Том 69
№ 9

All Issues

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

Prikarpatskii A. K., Samoilenko A. M., Samoilenko V. G.

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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.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 1, pp 82-92.

Citation Example: Prikarpatskii A. K., Samoilenko A. M., Samoilenko V. G. Lyapunov–Schmidt Approach to Studying Homoclinic Splitting in Weakly Perturbed Lagrangian and Hamiltonian Systems // Ukr. Mat. Zh. - 2003. - 55, № 1. - pp. 66-74.

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