Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1889042 | Chaos, Solitons & Fractals | 2014 | 8 Pages |
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=3n=3 (continuing the well-studied case n=2n=2), generic bifurcations of equilibria, separatrix reconnections, occurrence of meander curves and Kármán vortex streets are revealed and discussed.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
A. Karabanov, A.D. Morozov,