z-logo
open-access-imgOpen Access
Theoretical models for chronotherapy: Periodic perturbations in hyperchaos
Author(s) -
Juvencio Alberto Betancourt-Mar,
Víctor Alfonso Méndez-Guerrero,
Carlos Hernández Rodríguez,
J.M. Nieto-Villar
Publication year - 2010
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.2010.7.553
Subject(s) - chronotherapy (sleep phase) , lyapunov exponent , control theory (sociology) , chaotic , perturbation (astronomy) , mathematics , forcing (mathematics) , lyapunov function , attractor , statistical physics , physics , computer science , mathematical analysis , nonlinear system , artificial intelligence , control (management) , quantum mechanics , astronomy , morning
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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.
Having issues? You can contact us here