DEGENERATE BIFURCATIONS OF RESONANT TORI IN HAMILTONIAN SYSTEMS

DOI10.1142/S0218127499000602zbMath1089.37531MaRDI QIDQ5474006

Simos Ichtiaroglou, George Voyatzis

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcation theory for ordinary differential equations (34C23) Hamilton's equations (70H05)

Related Items (11)

Low dimensional completely resonant tori in Hamiltonian lattices and a theorem of Poincaré ⋮ Bifurcations in a family of Hamiltonian systems and associated nontwist cubic maps ⋮ On the continuation of degenerate periodic orbits via normal form: full dimensional resonant tori ⋮ On the continuation of degenerate periodic orbits via normal form: lower dimensional resonant tori ⋮ Large-scale chaos for arbitrarily small perturbations in non-twist Hamiltonian systems. ⋮ Intermittency and Transport Barriers in Fluids and Plasmas ⋮ On the nonexistence of degenerate phase-shift multibreathers in Klein-Gordon models with interactions beyond nearest neighbors ⋮ Meanders and reconnection–collision sequences in the standard nontwist map ⋮ On the scenario of reconnection in non-twist cubic maps ⋮ Quantum signature of reconnection bifurcations ⋮ On degenerate resonances in Hamiltonian systems with two degrees of freedom

Cites Work

• The birth process of periodic orbits in non-twist maps
• The birth of twin Poincaré-Birkhoff chains near 1:3 resonance
• Dimerized island chains in tokamaks
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

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