Normal and anomalous diffusion in a deterministic area-preserving map

DOI10.1016/S0167-2789(97)00250-9zbMath0941.37020arXivchao-dyn/9611017OpenAlexW2950443221MaRDI QIDQ1963458

P. Leboeuf

Publication date: 1 February 2000

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

Full work available at URL: https://arxiv.org/abs/chao-dyn/9611017

zbMATH Keywords

transportdiffusionchaotic motionBrownian motionstochastic layerLévy flightsbifurcations of periodic orbitschaotic deterministic dynamics

Mathematics Subject Classification ID

Generation, random and stochastic difference and differential equations (37H10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (11)

Transport of Inert and Reactive Particles: Lagrangian Statistics in Turbulent Flow ⋮ Fractality of deterministic diffusion in the nonhyperbolic climbing sine map ⋮ On the onset of diffusion in the kicked Harper model ⋮ Reconnection of unstable manifolds and change in transport properties. ⋮ On strong anomalous diffusion ⋮ Dynamical robustness of discrete conservative systems: Harper and generalized standard maps ⋮ Linear parabolic maps on the torus ⋮ Strongly and weakly self-similar diffusion ⋮ Manifold reconnection and diffusion in strong chaos ⋮ Chaos, fractional kinetics, and anomalous transport ⋮ The threshold for global diffusion in the kicked Harper map

Cites Work

• Non-linear diffusion in Hamiltonian systems exhibiting chaotic motion
• Kicked Harper models and kicked charge in a magnetic field
• Stochastic ion heating by a lower hybrid wave: II
• Stochastic webs and their applications
• Chaotic jets with multifractal space-time random walk
• Channeling and percolation in two-dimensional chaotic dynamics
• Topological aspects of quantum chaos
• Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics

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