TL;DR
This paper investigates bifurcations occurring in degenerate resonance zones within Hamiltonian systems with 3/2 degrees of freedom and symplectic maps, enhancing understanding of complex dynamical behaviors near degeneracies.
Contribution
It provides a detailed analysis of bifurcations in degenerate resonance zones for specific Hamiltonian systems and symplectic maps, which was not thoroughly explored before.
Findings
Identification of bifurcation types in degenerate resonance zones
Conditions under which bifurcations occur in these systems
Implications for stability and dynamics near degeneracies
Abstract
For Hamitonian systems with 3/2 degrees of freedom close to nonlinear integrable and for symplectic maps of the cylinder, bifurcations in degenerate resonance zones are discussed.
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