Visualization of the Chaos Game for non-hyperbolic iterated function system | Zendy

Pablo José Mavares Ferrer | Zendy

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Visualization of the Chaos Game for non-hyperbolic iterated function system

Author(s) -

Pablo José Mavares Ferrer

Publication year - 2020

Publication title -

revista odigos

Language(s) - English

Resource type - Journals

ISSN - 2697-3405

DOI - 10.35290/ro.v1n2.2020.302

Subject(s) - iterated function system , attractor , chaos (operating system) , iterated function , visualization , function (biology) , computer science , point (geometry) , mathematics , theoretical computer science , mathematical economics , artificial intelligence , mathematical analysis , geometry , computer security , evolutionary biology , biology

The chaos game is a random algorithm generally applied to contracting (hyperbolic) iterated function system (IFS) which makes it possible to obtain the unique attractor of the dynamic system. However, when applied to non-contractive IFS extremely interesting results can be obtained that are not only important from a theoretical and application point of view, but can also be part of a mathematical didactics that seeks to modernize teaching. In this sense, this research present some results related to the application of the chaos game to non-contracting IFS are presented.

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