Article ID Journal Published Year Pages File Type
1865178 Physics Letters A 2007 8 Pages PDF
Abstract

We present numerical verification of hyperbolic nature for chaotic attractor in a system of two coupled non-autonomous van der Pol oscillators [S.P. Kuznetsov, Phys. Rev. Lett. 95 (2005) 144101]. At certain parameter values, in the 4D phase space of the Poincaré map we indicate a toroidal domain (a direct product of a circle and a 3D ball), which is mapped into itself and contains the attractor we analyze. In accordance with the computations, in this absorbing domain the conditions of hyperbolicity are valid, which are formulated in terms of contracting and expanding cones in the vector spaces of the small state perturbations.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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