The Poincaré-Mel'nikov geometric analysis of the transversal splitting of manifolds of slowly perturbed nonlinear dynamical systems. I

zbMath0827.58049MaRDI QIDQ1344995

O. Ya. Timchishin, Anatoliy K. Prykarpatsky, A. M. Samoilenko

Publication date: 20 March 1995

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

adiabatic invariantheteroclinic orbittransversal intersectionlocal stable and unstable manifoldsPoincaré-Mel'nikov vector function

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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