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This article is cited in 7 scientific papers (total in 7 papers)
Effective computations in modern dynamics
On degenerate resonances in nearly Hamiltonian systems
A. D. Morozov Department of Mechanics and Mathematics,
Nizhni Novgorod State University,
603950 Nizhni Novgorod, Russia
Abstract:
The problem of topology of a neighborhood of degenerate resonance zone in time-periodic two-dimensional nearly Hamiltonian systems of differential equations is considered. The investigation is based on averaged systems analysis. The role of polyharmonical Hamiltonian and non-Hamiltonian perturbations is discussed. In the Hamiltonian case, conditions of existence of degenerate resonances in non-degenerate and degenerate resonance zones are established. In the case of non-Hamiltonian perturbations, a problem of synchronization on degenerate resonances is considered.
Received: 27.08.2004
Citation:
A. D. Morozov, “On degenerate resonances in nearly Hamiltonian systems”, Regul. Chaotic Dyn., 9:3 (2004), 337–350
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https://www.mathnet.ru/eng/rcd749 https://www.mathnet.ru/eng/rcd/v9/i3/p337
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