Journal
MATHEMATICAL BIOSCIENCES AND ENGINEERING
Volume 7, Issue 3, Pages 553-560Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mbe.2010.7.553
Keywords
Chronotherapy; chronobiology; biological rhythm; non-linear dynamics; generalized Rossler system; hyperchaos
Categories
Funding
- Geo Estratos
- Laboratorio SAS from Mexico
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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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