Abstract
An invariance of the structure of the homoclinic tangle with respect to a simultaneous rescaling of the perturbation amplitude and the coordinates in the neighborhood of the saddle was recently studied in low dimensional chaotic Hamiltonian systems. A similar property exists in open systems with transient chaotic behaviour. The scaling constant depends on the ratio of the perturbation frequency and the eigenvalue of the linearized system at the saddle. This result can be used to analyze the structure of the mixing layers in time-dependent two-dimensional open flows. The invariance of the homoclinic tangle is demonstrated numerically for a weakly perturbed flow of ideal fluid around a cylinder.
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