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
type: Item
instance of: scholarly article
title: 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
zbMATH Open document ID: 0982.37056
DOI: 10.1016/S0960-0779(98)00171-4
author: Stefano Cerbelli
author: Massimiliano Giona
author: Alessandra Adrover
author: Mario Alvarez
author: Fernando J. Muzzio
published in: Chaos, Solitons and Fractals
publication date: 2000-08-09T00:00:00Z
Mathematics Subject Classification ID: 37J10
Mathematics Subject Classification ID: 37E30
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37D20
Mathematics Subject Classification ID: 37N10
Mathematics Subject Classification ID: 76F20
zbMATH DE Number: 1486532
zbMATH Keywords: Hamiltonian flow
zbMATH Keywords: turbulence
zbMATH Keywords: global invariant properties
zbMATH Keywords: exactly solvable area-preserving mixing transformations
zbMATH Keywords: chaotic dynamics
Wikidata QID: Q58454325
MaRDI profile type: Publication
cites work: Regular and stochastic motion
cites work: Chaos in classical and quantum mechanics
cites work: Stirring by chaotic advection
cites work: Chaotic advection in the velocity field of leapfrogging vortex pairs
cites work: Quantification of mixing in aperiodic chaotic flows
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Q5554207
cites work: GIBBS MEASURES IN ERGODIC THEORY
cites work: Equilibrium states and the ergodic theory of Anosov diffeomorphisms
cites work: MIXING STUDIES USING HORSESHOES
cites work: Q5508729
cites work: Q4744562
cites work: Q4840149
cites work: Dynamical systems IX. Transl. from the Russian by G. G. Gould
cites work: There are No New Anosov Diffeomorphisms on Tori
cites work: Q4167627
cites work: An analytical study of transport, mixing and chaos in an unsteady vortical flow
cites work: Invariant manifold templates for chaotic advection
cites work: Q5333524
cites work: The geometry of mixing in time-periodic chaotic flows. I: Asymptotic directionality in physically realizable flows and global invariant properties
cites work: Sufficient conditions for a non-regular problem in the calculus of variations
cites work: Growth rates for fast kinematic dynamo instabilities of chaotic fluid flows
cites work: Stretch, Twist, Fold: The Fast Dynamo
cites work: Chaos, fractals, and noise: Stochastic aspects of dynamics.
cites work: Resonances for intermittent systems
cites work: Invariant geometric properties of class of 3D chaotic flows
cites work: Q3955608
cites work: Note on differential equations on the torus
description: scientific article; zbMATH DE number 1486532