Construction of attractors and filtrations

• Autorzy: George Osipenko
• Języki publikacji: EN

Abstrakty

EN

This paper is a study of the global structure of the attractors of a dynamical system. The dynamical system is associated with an oriented graph called a Symbolic Image of the system. The symbolic image can be considered as a finite discrete approximation of the dynamical system flow. Investigation of the symbolic image provides an opportunity to localize the attractors of the system and to estimate their domains of attraction. A special sequence of symbolic images is considered in order to obtain precise knowledge about the global structure of the attractors and to get filtrations of the system.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1999
• Tom: 47
• Numer: 1
• Strony: 173-192

Daty

wydano

1999

Twórcy

autor

George Osipenko

• Laboratory of Nonlinear Analysis and Mathematical Modelling, St. Petersburg State Technical University, St. Petersburg 195251, Russia

Bibliografia

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• [12] G. S. Osipenko, Verification of the transversality condition by the symbolic-dynamical methods, Differential Equations 26, 1126-1132; translated from Differentsial'nye Uravneniya 26 (1990), 1528-1536.
• [13] G. S. Osipenko, The periodic points and symbolic dynamics, in: Seminar on Dynamical Systems, Birkhäuser Verlag, Basel, 1993, 261-267.