Chaos on Set-Valued Dynamics and Control Sets

Victor Ayala and Heriberto Roman-Flores

A chapter in Chaos Theory from IntechOpen

Abstract: The aim of this chapter is threefold. First, we show some advances in complexity dynamics of set-valued discrete systems in connection with the Devaney's notion of chaos. Secondly, we start to explore some relationships between control sets for the class of linear control systems on Lie groups with chaotic sets. Finally, through several open problems, we invite the readers to give a contribution to this beauty theory.

Keywords: chaos; set-valued maps; dynamic; Devaney; control sets (search for similar items in EconPapers)
JEL-codes: C60 (search for similar items in EconPapers)
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Persistent link: https://EconPapers.repec.org/RePEc:ito:pchaps:122584

DOI: 10.5772/intechopen.72232

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