Facultatea de Matematică şi Informatică / Faculty of Methematics and Informatics

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    GLOBAL ATTRACTORS OF QUASI-LINEAR NON-AUTONOMOUS DIFFERENCE EQUATIONS
    (Institutul de Matematică şi Informatică al AŞM, 2008) Сheban, David; Mammana, Cristina; Michetti, Elisabetta
    The article is devoted to the study of global attractors of quasi-linear non-autonomous difference equations. We obtain the conditions for the existence of a compact global attractor. The obtained results are applied to the study of a special triangular map T : R2 → R2 describing a growth model with logistic population growth rate
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    RELATION BETWEEN LEVINSON CENTER, CHAIN RECURRENT SET AND CENTER OF BIRKHOFF FOR COMPACT DISSIPATIVE DYNAMICAL SYSTEMS
    (Academy of Sciences of Moldova, 2015) Cheban, David
    In this paper we prove the analogues of Birkhoff’s theorem for one- sided dynamical systems (both with continuous and discrete times) with noncompact space having a compact global attractor. The relation between Levinson center, chain recurrent set and center of Birkhoff is established for compact dissipative dynamical systems. Mathematics subject classification: 37B25, 37B35 37B55, 37L15, 37L30, 37L45.