Theoretical models for chronotherapy: periodic perturbations in hyperchaos.

Betancourt-Mar, Juvencio Alberto; Méndez-Guerrero, Víctor Alfonso; Hernández-Rodríguez, Carlos; Nieto-Villar, José Manuel

Betancourt-Mar, Juvencio Alberto; Méndez-Guerrero, Víctor Alfonso; Hernández-Rodríguez, Carlos; Nieto-Villar, José Manuel.

Afiliação

Betancourt-Mar JA; Mexican Institute of Complex Systems, Tlaxcala 111, Col Unidad Nacional, Cd. Madero, Tampico, Tams., C.P. 89410, Mexico. betancourt@mics.edu.mx

Math Biosci Eng ; 7(3): 553-60, 2010 Jul.

Article em En | MEDLINE | ID: mdl-20578785

RESUMO

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.

Assuntos

Cronoterapia/métodos; Modelos Teóricos; Dinâmica não Linear; Humanos

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Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Assunto principal: Dinâmica não Linear / Cronoterapia / Modelos Teóricos Tipo de estudo: Prognostic_studies Limite: Humans Idioma: En Revista: Math Biosci Eng Ano de publicação: 2010 Tipo de documento: Article País de afiliação: México País de publicação: Estados Unidos

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