GLOBAL ATTRACTORS OF QUASI-LINEAR NON-AUTONOMOUS DIFFERENCE EQUATIONS

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2008

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Institutul de Matematică şi Informatică al AŞM

Abstract

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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triangular maps, skew-product flow, global attractors, neoclassical growth model, non-autonomous dynamical systems with discrete time

Citation

CHEBAN, David, MAMMANA, Cristiana, MICHETTI, Elisabetta. Global Attractors of Quasi-Linear Non-Autonomous Difference Equations. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2008, nr. 1(56), pp. 84-104. ISSN 1024-7696.

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