Theoretical models for chronotherapy: periodic perturbations in hyperchaos

Math Biosci Eng. 2010 Jul;7(3):553-60. doi: 10.3934/mbe.2010.7.553.

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.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Chronotherapy / methods*
  • Humans
  • Models, Theoretical*
  • Nonlinear Dynamics*