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Topological aspects of dynamical independence and chaos (TOPDSC)
Start date: May 1, 2011, End date: Apr 30, 2014 PROJECT  FINISHED 

"The aim of this project is the study of complicated, chaotic dynamics. In the project we will investigate local aspects of dynamics, like dynamics of pairs, n-tuples, or dynamics over sets. Particular, we will be interested in pairs chaotic in the sense of Li and Yorke, entropy pairs, independent sets, etc. We will search for connections between shadowing property and chaos, especially these that can be used successfully in applications. In our research we will combine tools like covering relations or tools related with residual sets like in methods of Mycielski and Kuratowski, with analytical methods and rigorous treatment of systems arising in concrete problems."

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