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Kruglov V. P. Technique and results of numerical test for hyperbolic nature of attractors for reduced models of distributed systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 6, pp. 79-93. DOI: 10.18500/0869-6632-2014-22-6-79-93

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Technique and results of numerical test for hyperbolic nature of attractors for reduced models of distributed systems

Kruglov Vjacheslav Pavlovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences

A test of hyperbolic nature of chaotic attractors, based on an analysis of statistics distribution of angles between stable and unstable subspaces, is applied to reduced finite­dimensional models of distributed systems which are the modifications of the Swift–Hohenberg equation and Brusselator model, as well as to the problem of parametric excitation of standing waves by the modulated pump.

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