Transport in two-dimensional maps: Concepts, examples, amd a comparison of the theory of Rom-Kedar and Wiggins with the Markov model of MacKay, Meiss, Ott, and Percival

DOI10.1016/0167-2789(91)90237-4zbMath0741.76077OpenAlexW2089086364WikidataQ59425583 ScholiaQ59425583MaRDI QIDQ1181176

Stephen Wiggins, Vered Rom-Kedar

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90237-4

zbMATH Keywords

phase spaceMarkov modeltransport theorytwo-dimensional maps

Mathematics Subject Classification ID

Topological dynamics (37B99) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Diffusion and convection (76R99) Numerical and other methods in solid mechanics (74S99)

Related Items (4)

Horseshoes in hurricanes ⋮ Lagrangian coherent structures in n-dimensional systems ⋮ The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds ⋮ Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Resonances and transport in the sawtooth map
• On the geometry of transport in phase space. I. Transport in k-degree-of- freedom Hamiltonian systems, \(2\leq k<\infty\)
• Transport rates of a class of two-dimensional maps and flows
• Transport in Hamiltonian systems
• Extended chaos and disappearance of KAM trajectories
• Resonances in area-preserving maps
• Markov tree model of transport in area-preserving maps
• Global bifurcations and chaos. Analytical methods
• Transport in two-dimensional maps
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Regular and stochastic motion
• An analytical study of transport, mixing and chaos in an unsteady vortical flow
• On the Detection and Dynamical Consequences of Orbits Homoclinic to Hyperbolic Periodic Orbits and Normally Hyperbolic Invariant Tori in a Class of Ordinary Differential Equations
• Flux, resonances and the devil's staircase for the sawtooth map
• Finite Continuous Time Markov Chains
• Capture into resonance: An extension of the use of adiabatic invariants
• Chaotic transport in the homoclinic and heteroclinic tangle regions of quasiperiodically forced two-dimensional dynamical systems
• Slowly pulsating separatrices sweep homoclinic tangles where islands must be small: an extension of classical adiabatic theory
• Chaotic advection in a Rayleigh-Bénard flow

This page was built for publication: Transport in two-dimensional maps: Concepts, examples, amd a comparison of the theory of Rom-Kedar and Wiggins with the Markov model of MacKay, Meiss, Ott, and Percival