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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AIMS Press
2007-01-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.177 |
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| author | Juvencio Alberto Betancourt-Mar José Manuel Nieto-Villar |
| author_facet | Juvencio Alberto Betancourt-Mar José Manuel Nieto-Villar |
| author_sort | Juvencio Alberto Betancourt-Mar |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-21613e757bbf4d61aa8cf558fd4999e1 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-21613e757bbf4d61aa8cf558fd4999e12025-01-24T01:53:27ZengAIMS PressMathematical Biosciences and Engineering1551-00182007-01-014217718610.3934/mbe.2007.4.177Theoretical models for chronotherapy: Periodic perturbations in funnel chaos typeJuvencio Alberto Betancourt-Mar0José Manuel Nieto-Villar1Laboratorio UNE-SAS, Universidad del Noreste, Prol. Ave. Hidalgo 6315, Tampico, Tams., México, C.P.89337Laboratorio UNE-SAS, Universidad del Noreste, Prol. Ave. Hidalgo 6315, Tampico, Tams., México, C.P.89337In 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.https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.177non-linear dynamicsbiological rhythmrossler systemfunnel chaos.chronotherapychronobiologychaotic chemical reactions |
| spellingShingle | Juvencio Alberto Betancourt-Mar José Manuel Nieto-Villar Theoretical models for chronotherapy: Periodic perturbations in funnel chaos type Mathematical Biosciences and Engineering non-linear dynamics biological rhythm rossler system funnel chaos. chronotherapy chronobiology chaotic chemical reactions |
| title | Theoretical models for chronotherapy: Periodic perturbations in funnel chaos type |
| title_full | Theoretical models for chronotherapy: Periodic perturbations in funnel chaos type |
| title_fullStr | Theoretical models for chronotherapy: Periodic perturbations in funnel chaos type |
| title_full_unstemmed | Theoretical models for chronotherapy: Periodic perturbations in funnel chaos type |
| title_short | Theoretical models for chronotherapy: Periodic perturbations in funnel chaos type |
| title_sort | theoretical models for chronotherapy periodic perturbations in funnel chaos type |
| topic | non-linear dynamics biological rhythm rossler system funnel chaos. chronotherapy chronobiology chaotic chemical reactions |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.177 |
| work_keys_str_mv | AT juvencioalbertobetancourtmar theoreticalmodelsforchronotherapyperiodicperturbationsinfunnelchaostype AT josemanuelnietovillar theoreticalmodelsforchronotherapyperiodicperturbationsinfunnelchaostype |