Dynamics Around Minimal Hyperbolic Torus in Hamiltonian Systems

DOI10.1142/S0217979203021940zbMath1073.37076MaRDI QIDQ5312166

Jun Yan, Chong-Qing Cheng

Publication date: 30 August 2005

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Cites Work

• Action minimizing invariant measures for positive definite Lagrangian systems
• Variational construction of connecting orbits
• Birkhoff-Kolmogorov-Arnold-Moser tori in convex Hamiltonian systems
• Symbolic dynamics near minimal hyperbolic invariant tori of Lagrangian systems
• THE MECHANISM OF DESTRUCTION OF RESONANCE TORI OF HAMILTONIAN SYSTEMS