A continuous archetype of nonuniform chaos in area-preserving dynamical systems

DOI10.1007/s00332-004-0673-2zbMath1095.37001OpenAlexW1981469145MaRDI QIDQ2499280

Stefano Cerbelli, Massimiliano Giona

Publication date: 14 August 2006

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-004-0673-2

zbMATH Keywords

chaotic dynamicsfoldingstretchingarea-preserving mapmixing transformations

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (6)

A family of non-monotonic toral mixing maps ⋮ Exponential mixing by orthogonal non-monotonic shears ⋮ Polynomial decay of correlations in linked-twist maps ⋮ Connecting the spatial structure of periodic orbits and invariant manifolds in hyperbolic area-preserving systems ⋮ Characterization of nonuniform chaos in area-preserving nonlinear maps through a continuous archetype ⋮ Transitivity of surface dynamics lifted to Abelian covers

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