V. P. Kruglov, “Technique and results of numerical test for hyperbolic nature of attractors for reduced models of distributed systems”, Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, Volume 22, Issue 6,Pages <nobr>79

SCIENCE FOR EDUCATION

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

V. P. Kruglov^ab

^a Saratov Branch, Kotel'nikov Institute of Radio-Engineering and Electronics, Russian Academy of Sciences
^b Saratov State University

Abstract: 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.

Keywords: Uniformly hyperbolic attractor, structural stability, Lyapunov exponents.

UDC: 517.9:541.12+544.4

Received: 25.12.2014