International Conference «Mathematical and Informational Technologies, MIT-2011»

(IX Conference «Computational and Informational Technologies for Science,

Engineering and Education»)

## Shekutkovski N.## Intrinsic shape, attractors and Morse decomposition
One of the most important problems in dynamical systems concerns the asymptotic behavior of trajectories as time goes to plus or minus infinity. Limit sets are fundamental tools for this problem. Several results will be presented concerning shape of limit sets. Intrinsic shape recently introduced by the author in [5], throws a new light to this area of study of dynamical systems. The intrinsic shape is a very appropriate tool, since it uses only the properties of the existing phase space X of the dynamical system f: XxR->X, not introducing external spaces.
[1] С.А Богатый, В. И. Гуцу, О структуре притягивающих компактов, Дифференциальные уравнения 25 (1985), 907-909.
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