# Homoclinic tangles-classification and applications

@article{RomKedar1994HomoclinicTA, title={Homoclinic tangles-classification and applications}, author={Vered Rom-Kedar}, journal={Nonlinearity}, year={1994}, volume={7}, pages={441-473} }

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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