Large-scale chaos for arbitrarily small perturbations in non-twist Hamiltonian systems.

DOI10.1016/S0960-0779(02)00066-8zbMath1058.70020OpenAlexW2088506894MaRDI QIDQ1419055

Simos Ichtiaroglou, Efi Meletlidou, George Voyatzis

Publication date: 14 January 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00066-8

zbMATH Keywords

Melnikov's methodseparatricesoverlapped resonances

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Related Items (1)

Meanders and reconnection–collision sequences in the standard nontwist map

Cites Work

• Unnamed Item
• The birth process of periodic orbits in non-twist maps
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The existence of arbitrarily many distinct periodic orbits in a two degree of freedom Hamiltonian system
• Invariant curves of analytic perturbed nontwist area preserving maps
• Nonmonotonic twist maps
• Manifold reconnection and diffusion in strong chaos
• The birth of twin Poincaré-Birkhoff chains near 1:3 resonance
• Dimerized island chains in tokamaks
• Renormalization and transition to chaos in area preserving nontwist maps
• KAM Theory and a Partial Justification of Greene's Criterion for Nontwist Maps
• Generic twistless bifurcations
• DEGENERATE BIFURCATIONS OF RESONANT TORI IN HAMILTONIAN SYSTEMS
• NONTWIST AREA PRESERVING MAPS WITH REVERSING SYMMETRY GROUP

This page was built for publication: Large-scale chaos for arbitrarily small perturbations in non-twist Hamiltonian systems.