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Theoretical models for chronotherapy: Periodic perturbations in funnel chaos type

Juvencio Alberto Betancourt-Mar José Manuel Nieto-Villar

*Corresponding author:  

MBE2007,2,177doi:10.3934/mbe.2007.4.177

In this work, the Räossler 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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Article URL   http://www.aimspress.com/MBE/article/2845.html
Article ID   1551-0018_2007_2_177
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