Cheban, David2017-09-272017-09-272014CHEBAN, 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 978-9975-68-244-2978-9975-68-244-2https://msuir.usm.md/handle/123456789/1307We 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.endynamical systemglobal attractorBirkhoff centerArticle