Theoretical models for chronotherapy: periodic perturbations in hyperchaos.
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.
Betancourt-Mar
Juvencio Alberto
JA
Mexican Institute of Complex Systems, Tlaxcala 111, Col Unidad Nacional, Cd. Madero, Tampico, Tams., C.P. 89410, Mexico. betancourt@mics.edu.mx
Méndez-Guerrero
Víctor Alfonso
VA
Hernández-Rodríguez
Carlos
C
Nieto-Villar
José Manuel
JM
D019454:Chronotherapy / Q000379:methods*; D006801:Humans; D008962:Models, Theoretical; D017711:Nonlinear Dynamics