On degenerate resonances in Hamiltonian systems with two degrees of freedom

A. Karabanov and A.D. Morozov

Chaos, Solitons & Fractals, 2014, vol. 69, issue C, 201-208

Abstract: For Hamiltonian systems with two degrees of freedom close to nonlinear integrable, notations of a degenerate resonance and an order of degeneracy n are introduced along with a local normal form near the resonance. Based on an averaged system, bifurcations in zones of degenerate resonances are studied. For n=3 (continuing the well-studied case n=2), generic bifurcations of equilibria, separatrix reconnections, occurrence of meander curves and Kármán vortex streets are revealed and discussed.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:69:y:2014:i:c:p:201-208

DOI: 10.1016/j.chaos.2014.10.002

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