Homoclinic tangles-classification and applications

  title={Homoclinic tangles-classification and applications},
  author={Vered Rom-Kedar},
Here we develop the topological approximation method which gives a new description of the mixing and transport processes in chaotic two-dimensional time-periodic Hamiltonian flows. It is based upon the structure of the homoclinic tangle, and supplies a detailed solution to a transport problem for this class of systems, the characteristics of which are typical to chaotic, yet not ergodic dynamical systems. These characteristics suggest some new criteria for quantifying transport and mixing-hence… 

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  • CamassaWiggins
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1991
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Introduction to Applied Nonlinear Dynamical Systems and Chaos

Equilibrium Solutions, Stability, and Linearized Stability * Liapunov Functions * Invariant Manifolds: Linear and Nonlinear Systems * Periodic Orbits * Vector Fields Possessing an Integral * Index