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ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 2001, том 6, выпуск 1, страницы 17–32 (Mi rcd830)

Resonances in Four-Dimensional Quasi-Hamiltonian Systems: Analysis and Simulations

A. A. Karabanov

Department of Mathematics, (Syktyvkar branch) of Ural Division of RAS, 167610, Chernova, 3a, Syktyvkar, Russia

Аннотация: The problem of qualitative behaviour of four-dimensional quasi-Hamiltonian system in a neighbourhood of a fixed resonance is considered. The general analytical grounds of the problem are touched upon. We turn to the global analysis of special three-dimensional system averaged near the resonance. Furthermore, a checking the theory against numerical simulations is made. Two physical examples, revealing an irregular resonant dynamics, are studied.

MSC: 58F10, 58F36, 70F07

Поступила в редакцию: 05.09.2000

Язык публикации: английский

DOI: 10.1070/RD2001v006n01ABEH000162



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