Hamiltonian transport on unstable periodic orbits

DOI10.1016/0167-2789(89)90005-5zbMath0694.58018OpenAlexW2022507102MaRDI QIDQ909309

Itzhack Dana

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90005-5

zbMATH Keywords

unstable periodic orbitsdiffusion rateTransport in Hamiltonian systems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Orbital mechanics (70M20) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items

Diffusion on the torus for Hamiltonian maps ⋮ A model of modulated diffusion. I: Analytical results ⋮ Pseudochaotic dynamics near global periodicity ⋮ Recycling diffusion in sawtooth and cat maps ⋮ Subdiffusive transport in stochastic webs ⋮ Anomalous deterministic transport ⋮ Rigorous diffusion properties for the sawtooth map ⋮ Ergodic properties of the discontinuous sawtooth map ⋮ Recycling deterministic diffusion ⋮ Symplectic maps, variational principles, and transport ⋮ Resonances and transport in the sawtooth map

Uses Software

• Taylor-Chirikov map

Cites Work

• Unnamed Item
• Orbit extension method for finding unstable orbits
• Effect of noise on the standard mapping
• Correlations of periodic, area-preserving maps
• Transport in Hamiltonian systems
• Diffusion in the standard map
• Resonances in area-preserving maps
• Do numerical orbits of chaotic dynamical processes represent true orbits?
• A linear code for the sawtooth and cat maps
• Periodic orbits of the sawtooth maps
• Markov tree model of transport in area-preserving maps
• Diffusion in two-dimensional mappings
• Taylor-Chirikov map package: A package of programs for the calculation of ordered periodic orbits of area preserving twist maps
• Arithmetical properties of strongly chaotic motions
• Flux, resonances and the devil's staircase for the sawtooth map