Theoretical models for chronotherapy: Periodic perturbations in funnel chaos type
In this work, the Räossler system is used as a model for chrono-therapy. We applied a periodic perturbation to the y variable to take theRössler system from a chaotic behavior to a simple periodic one, varying theperiod and amplitude of forcing. Two types of chaos were considered, spiraland funnel c...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2007-01-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.177 |
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| Summary: | In this work, the Räossler system is used as a model for chrono-therapy. We applied a periodic perturbation to the y variable to take theRössler system from a chaotic behavior to a simple periodic one, varying theperiod and amplitude of forcing. Two types of chaos were considered, spiraland funnel chaos. As a result, the periodical windows reduced their areas as thefunnel chaos character increased in the system. Funnel chaos, in this chrono-therapy model, could be considered as a later state of a dynamical disease,more irregular and difficult to suppress. |
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| ISSN: | 1551-0018 |