CORDIS Project
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This project investigates the concept of distributional chaos in dynamical systems, exploring its connections to topological dynamics. It aims to understand the properties and conditions that lead to distributionally scrambled sets, enhancing the theoretical framework of chaos in various mathematical spaces.
In the paper ""Measure of chaos and a spectral decomposition of dynamical systems of interval"" (which extends Li and Yorke approach stated in their famous paper ""Period three implies chaos"") Schweizer and Smital introduced the definition of distributional chaos.
Scientific aim of this project is to study distributional chaos and its relations to other notions known from Topological Dynamics.
Main problems we will cosider are the following: - how ''large'' distributionally scrambled sets can b…
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