Resonant collisions in four-dimensional reversible maps: a description of scenarios

DOI10.1016/S0167-2789(97)00204-2zbMath1194.34120arXivchao-dyn/9706006OpenAlexW3100303115MaRDI QIDQ992213

Avijit Lahiri, Tarun K. Roy, Ajanta Bhowal

Publication date: 11 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9706006

Mathematics Subject Classification ID

Nonlinear resonances for nonlinear problems in mechanics (70K30) Differential equations in abstract spaces (34G99)

Related Items (2)

Subharmonic branching at a reversible 1:1 resonance ⋮ Global structure of regular tori in a generic 4D symplectic map

Cites Work

• Unnamed Item
• The Hamiltonian Hopf bifurcation
• Reversible systems
• Singularity theory and equivariant symplectic maps
• Stability of invariant curves in four-dimensional reversible mappings near 1:1 resonance
• Fourth order resonant collisions of multipliers in reversible maps: period-4 orbits and invariant curves
• Bifurcation of periodic solutions near a collision of eigenvalues of opposite signature
• Instability and bifurcation near the symplectic 1 :4 resonance
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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