Twistless tori near low-order resonances

DOI10.1007/s10958-005-0226-8zbMath1120.37035OpenAlexW2069242519MaRDI QIDQ997761

Alexey V. Ivanov, Holger R. Dullin

Publication date: 7 August 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0226-8

zbMATH Keywords

Hopf bifurcationequilibriumperiodic orbitHamiltonian systemperiod-doubling bifurcationbehavior of the twistsaddle-center bifurcation

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (2)

Dynamics near the \(p: - q\) resonance ⋮ Another look at the saddle-centre bifurcation: vanishing twist.

Cites Work

• Invariant curves of analytic perturbed nontwist area preserving maps
• Nonmonotonic twist maps
• Generic twistless bifurcations
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