Transport of phase space volume near isolated invariant sets

DOI10.1007/BF01053534zbMath0784.34036OpenAlexW1967766055MaRDI QIDQ686322

Robert W. Easton

Publication date: 13 October 1993

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01053534

zbMATH Keywords

invariant setdiscrete dynamical systemasymptotic rate of escapemeasure preserving homeomorphismphase space volume

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) Dynamical systems and ergodic theory (37-XX)

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Cites Work

• 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
• Resonances in area-preserving maps
• Chaotic transport in dynamical systems
• The ergodic theory of axiom A flows
• Transport through chaos
• Escape from strange repellers
• Exit times and transport for symplectic twist maps
• Some Large Deviation Results for Dynamical Systems