Intersections of stable and unstable manifolds: the skeleton of Lagrangian chaos

DOI10.1016/J.CHAOS.2004.09.059zbMath1088.37048OpenAlexW1989933902MaRDI QIDQ1777003

Niranjan Chakravarthy

Publication date: 12 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.09.059

zbMATH Keywords

Lyapunov exponentssymbolic dynamicsKAM torishear flowfractal propertiesHamiltonian chaoschaotic layertwo-dimensional fluid flowvortex region

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Turbulent transport, mixing (76F25) Fractals (28A80) Dynamical systems approach to turbulence (76F20) Symbolic dynamics (37B10)

Related Items (6)

THE STABLE AND UNSTABLE MANIFOLDS OF THE TWO-DIMENSIONAL PIECEWISE-LINEAR NORMAL FORM MAPS ⋮ Impulsive synchronization of Lipschitz chaotic systems ⋮ Characterizing Flows by Complex Network Methods ⋮ Effect of nonlinear dissipation on the basin boundaries of a driven two-well Rayleigh-Duffing oscillator ⋮ A Bayesian nonparametric approach to the approximation of the global stable manifold ⋮ A numerical method for the approximation of stable and unstable manifolds of microscopic simulators

Uses Software

• Dynamics

Cites Work

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• Regular and chaotic dynamics.
• Dynamics: numerical explorations. Accompanying computer program dynamics. Coauthored by Eric J. Kostelich. With 3 1/2 DOS Diskette
• Symbolic encoding in symplectic maps
• Weak Chaos and Quasi-Regular Patterns
• On the Complexity of Finite Sequences
• Analysis of mixing in three-dimensional time-periodic cavity flows
• Chaotic mixing in a bounded three-dimensional flow
• Indecomposable continua in dynamical systems with noise: Fluid flow past an array of cylinders
• Stirring by chaotic advection

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