Theoretical models for chronotherapy: periodic perturbations in funnel chaos type.
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.
Betancourt-Mar
Juvencio Alberto
JA
Laboratorio UNE-SAS, Universidad del Noreste, Prol. Ave. Hidalgo 6315, Tampico, Tams., México. nolineal@spectroq.com
Nieto-Villar
Jose Manuel
JM
D001683:Biological Clocks; D021081:Chronobiology Disorders / Q000503:physiopathology* / Q000628:therapy*; D019454:Chronotherapy / Q000379:methods*; D003198:Computer Simulation; D006801:Humans; D008954:Models, Biological; D017711:Nonlinear Dynamics; D010507:Periodicity