BIRKHOFF'S CENTER OF COMPACT DISSIPATIVE DYNAMICAL SYSTEMS

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2014

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Valines SRL

Abstract

We introduce the notion of Birkhoff center for arbitrary dynamical systems admitting a compact global attractor. It is shown that Birkhoff center of dynamical system coincides with the closure of the set of all positively Poisson stable points of dynamical system.

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Keywords

dynamical system, global attractor, Birkhoff center

Citation

CHEBAN, D. Birkhoff's center of compact dissipative dynamical systems. In: The Third Conference of Mathematical Society of the Republic of Moldova: dedicated to the 50th anniversary of the foundation of the Institute of Mathematics and Computer Science, 19-23 aug. 2014, Chisinau, Moldova: Proceedings IMCS-50.Ch., 2014, pp.239-242. ISBN 978-9975-68-244-2

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