Invariant properties of a class of exactly solvable mixing transformations --- a measure-theoretical approach to model the evolution of material lines advected by chaotic flows

DOI10.1016/S0960-0779(98)00171-4zbMath0982.37056WikidataQ58454325 ScholiaQ58454325MaRDI QIDQ1573910

Massimiliano Giona, Stefano Cerbelli, Alessandra Adrover, Mario M. Alvarez, Fernando J. Muzzio

Publication date: 9 August 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

chaotic dynamicsturbulenceHamiltonian flowexactly solvable area-preserving mixing transformationsglobal invariant properties

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems approach to turbulence (76F20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (3)

Characterization of nonuniform chaos in area-preserving nonlinear maps through a continuous archetype ⋮ One-sided invariant manifolds, recursive folding, and curvature singularity in area-preserving nonlinear maps with nonuniform hyperbolic behavior ⋮ Invariant properties of a class of exactly solvable mixing transformations --- a measure-theoretical approach to model the evolution of material lines advected by chaotic flows

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