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Published on: January 24, 2013
Theoretical models for chronotherapy: periodic perturbations in hyperchaos
Juvencio Alberto Betancourt-Mar1, Víctor Alfonso Méndez-Guerrero, Carlos Hernández-Rodríguez
1Mexican Institute of Complex Systems, Tlaxcala 111, Col Unidad Nacional, Cd. Madero, Tampico, Tams., C.P. 89410, Mexico. betancourt@mics.edu.mx
Abstract:
In this work, a hyperchaotic system was used as a model for chronotherapy. We applied a periodic perturbation to a variable, varying the period and amplitude of forcing. The system, five-dimensional, has until three positive Lyapunov exponents. As a result, we get small periodical windows, but it was possible to get large areas of hyperchaos of two positive Lyapunov exponents from a chaotic behavior. In this chronotherapy model, chaos could be considered as a dynamical disease, and therapy goal must be to restore the hyperchaotic state.
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