High-dimensional interior crisis in the Kuramoto-Sivashinsky equation.
نویسندگان
چکیده
An investigation of interior crisis of high dimensions in an extended spatiotemporal system exemplified by the Kuramoto-Sivashinsky equation is reported. It is shown that unstable periodic orbits and their associated invariant manifolds in the Poincaré hyperplane can effectively characterize the global bifurcation dynamics of high-dimensional systems.
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عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 65 3 Pt 2A شماره
صفحات -
تاریخ انتشار 2002