Diffusion in the standard map

DOI10.1016/0167-2789(85)90134-4zbMath0595.58015OpenAlexW2023049671MaRDI QIDQ1077770

Shmuel Fishman, Itzhack Dana

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0167-2789(85)90134-4

zbMATH Keywords

Diffusion in the standard map is studied numerically

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Iteration of real functions in one variable (26A18)

Related Items

An obstruction method for the destruction of invariant curves, Controlling chaotic transport through recurrence, Escape times across the golden cantorus of the standard map, EFFECT OF CLASSICAL TRAPPING IN QUANTUM CHAOS: AN ANOMALOUS DIFFUSION APPROACH, Hamiltonian transport on unstable periodic orbits, Chaotic diffusion on periodic orbits and uniformity, Subdiffusive transport in stochastic webs, Critical function for the standard map, Anomalous transport and observable average in the standard map, Orbit extension method for finding unstable orbits, Symplectic maps, variational principles, and transport, Resonances and transport in the sawtooth map, Symplectic Gaussian process regression of maps in Hamiltonian systems

Cites Work

• Non-linear diffusion in Hamiltonian systems exhibiting chaotic motion
• Effect of noise on the standard mapping
• A renormalization approach to invariant circles in area-preserving maps
• Extended chaos and disappearance of KAM trajectories
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Regular and stochastic motion
• Calculation of Turbulent Diffusion for the Chirikov-Taylor Model