Open AccessTheoretical models for chronotherapy: Periodic perturbations in funnel chaos type
Author(s) -
Juvencio Alberto Betancourt-Mar,
J.M. Nieto-Villar
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.