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Chaos on Set-Valued Dynamics and Control Sets

In: Chaos Theory

Author

Listed:
  • Victor Ayala
  • Heriberto Roman-Flores

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.

Suggested Citation

  • Victor Ayala & Heriberto Roman-Flores, 2018. "Chaos on Set-Valued Dynamics and Control Sets," Chapters, in: Kais A. M. Al Naimee (ed.), Chaos Theory, IntechOpen.
    • Handle: RePEc:ito:pchaps:122584
    DOI: 10.5772/intechopen.72232
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    More about this item

    Keywords

    chaos; set-valued maps; dynamic; Devaney; control sets;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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