Theoretical models for chronotherapy: Periodic perturbations in funnel chaos type | Zendy

Juvencio Alberto Betancourt-Mar | Zendy; J.M. NietoVillar | Zendy

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Theoretical models for chronotherapy: Periodic perturbations in funnel chaos type

Author(s) -

Juvencio Alberto Betancourt-Mar,

J.M. NietoVillar

Publication year - 2007

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2007.4.177

Subject(s) - funnel , perturbation (astronomy) , chaotic , control of chaos , chaos (operating system) , control theory (sociology) , forcing (mathematics) , amplitude , synchronization of chaos , mathematics , statistical physics , computer science , physics , mathematical analysis , artificial intelligence , engineering , mechanical engineering , control (management) , computer security , quantum mechanics

In this work, the Rössler system is used as a model for chrono therapy. We applied a periodic perturbation to the y variable to take the Rössler system from a chaotic behavior to a simple periodic one, varying the period and amplitude of forcing. Two types of chaos were considered, spiral and funnel chaos. As a result, the periodical windows reduced their areas as the funnel chaos character increased in the system. Funnel chaos, in this chrono therapy model, could be considered as a later state of a dynamical disease, more irregular and difficult to suppress.

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