International Conference «Mathematical and Informational Technologies, MIT-2013»
(X Conference «Computational and Informational Technologies for Science,
Engineering and Education»)

Vrnjacka Banja, Serbia, September, 5–8, 2013

Budva, Montenegro, September, 9-14, 2013

Shekutkovski N.  

Topological structure of attractors and Morse decomposition

The global behavior of a dynamical system can be described by its Morse decompositions or its attractor and repeller configurations. Morse decomposition is an effective technique for analyzing the topological structure of a dynamical system in a reliable manner. This technique yields results that are not susceptible to small perturbations.
In this paper, several fundamental results about the structure of attractors will be presented and a new result about the components of Morse decomposition.

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