Diffusion in two-dimensional mappings

DOI10.1016/S0167-2789(98)90019-7zbMath0662.58023OpenAlexW2015646773MaRDI QIDQ1113505

M. A. Lieberman, Allan J. Lichtenberg

Publication date: 1988

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)90019-7

zbMATH Keywords

Fokker-Planck equationstrange attractorHamiltonian and dissipative systemsNumerical iterationsquasilinear diffusion rate

Mathematics Subject Classification ID

Topological dynamics (37B99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

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Transport of Inert and Reactive Particles: Lagrangian Statistics in Turbulent Flow ⋮ Hamiltonian transport on unstable periodic orbits ⋮ On strong anomalous diffusion ⋮ Deterministic fractal events generated by a two-dimensional map ⋮ Rigorous diffusion properties for the sawtooth map

Cites Work

• Fermi acceleration revisited
• Universal behaviour in families of area-preserving maps
• Correlations of periodic, area-preserving maps
• A two-dimensional mapping with a strange attractor
• Analytical calculation of invariant distributions on strange attractors
• Universality from resonance renormalization of Hamiltonian maps
• Transport in Hamiltonian systems
• Strange objects in the complex plane
• Repellers, semi-attractors, and long-lived chaotic transients
• Transient chaotic distributions in dissipative systems
• Regular and stochastic motion
• Escape from strange repellers
• Velocity diffusion in two-frequency electron cyclotron resonance heating
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