Heteroclinic Orbits and Chaotic Dynamics in Planar Fluid Flows
نویسنده
چکیده
An extension of the planar Smale-Birkhoff homoclinic theorem to the case of a heteroclinic saddle connection containing a finite number of fixed points is presented. This extension is used to find chaotic dynamics present in certain time-periodic perturbations of planar fluid models. Specifically, the Kelvin-Stuart cat's eye flow is studied, a model for a vortex pattern found in shear layers. A flow on the two-torus with Hamiltonian Ho (27r)-sin (2rx) cos (27rx2) is studied, as well as the evolution equations for an elliptical vortex in a three-dimensional strain flow.
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تاریخ انتشار 1988