Connecting the spatial structure of periodic orbits and invariant manifolds in hyperbolic area-preserving systems

DOI10.1016/J.PHYSLETA.2005.08.005zbMath1195.37018OpenAlexW2024325731MaRDI QIDQ1957395

Massimiliano Giona, Stefano Cerbelli

Publication date: 27 September 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.08.005

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

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• Global bifurcations and chaos. Analytical methods
• A continuous archetype of nonuniform chaos in area-preserving dynamical systems
• An analytical study of transport, mixing and chaos in an unsteady vortical flow
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Shadowing of physical trajectories in chaotic dynamics: Containment and refinement
• Periodic Orbits for Hyperbolic Flows

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