Theory of fast Arnold diffusion in many-frequency systems

DOI10.1007/BF01048098zbMath0943.37512OpenAlexW2088295369MaRDI QIDQ1279136

V. V. Vecheslavov, Boris V. Chirikov

Publication date: 4 September 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01048098

zbMATH Keywords

numerical experimentsArnold diffusiondynamical chaosnonlinear resonancesKAM integrability

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Lattice dynamics; integrable lattice equations (37K60) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items

Generic perturbations of linear integrable Hamiltonian systems, Quantum kicked rotor and its variants: chaos, localization and beyond, Peeling the onion of order and chaos in a high-dimensional Hamiltonian system, Arnold and Arnold-like diffusion in many dimensions, Quantum and classical Floquet prethermalization, A pioneer of chaos, Chirikov diffusion in the asteroidal three-body resonance \((5, - 2, - 2)\), Slow heating in a quantum coupled kicked rotors system, Strong and weak chaos in weakly nonintegrable many-body Hamiltonian systems, CHAOTIC DIFFUSION IN MULTIDIMENSIONAL CONSERVATIVE MAPS, Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson localization by Arnold diffusion

Cites Work

• Stochastic webs
• Patterns in chaos
• Regular and stochastic motion
• Diffusion in Hamiltonian chaos and its size dependence
• Complex analysis and convolution operators