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Localization of Invariant Compacts in Discrete Systems

Authors: Kanatnikov A.N. Published: 28.08.2013
Published in issue: #1(40)/2011  
DOI:

 
Category: Mathematics and Mechanics  
Keywords: dynamical discrete system, invariant set, localization of invariant sets

The functional method of localization of invariant compact sets for discrete dynamical systems is considered, with whose help the one-dimensional logistic system and twodimensional Cathala system are studied. The compact localization of positively-invariant compact sets of these systems is constructed. It is shown for both systems that the union of negatively-invariant compact sets coincides with the phase space of the system.