Bifurcations in degenerate resonance zones for Hamitonian systems with 3/2 degrees of freedom close to nonlinear integrable ones and for symplectic maps of a cylinder are discussed.
Keywords:
resonances, degenerate resonances, bifurcations, Hamiltonian systems, averaged systems, separatrix, vortex pairs, symplectic maps
Citation:
Morozov A. D., On Bifurcations in Degenerate Resonance Zones, Regular and Chaotic Dynamics,
2014, Volume 19, Number 4,
pp. 474-482