Nonlinear Dynamics, Chaos and Control of the Hindmarsh-Rose Neuron Model

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Federal de Mato Grosso do Sul (UFMS)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorde Lima, Raildo Santos-
Autor(es): dc.creatorChavarette, Fábio Roberto-
Data de aceite: dc.date.accessioned2025-08-21T15:17:35Z-
Data de disponibilização: dc.date.available2025-08-21T15:17:35Z-
Data de envio: dc.date.issued2022-05-01-
Data de envio: dc.date.issued2022-05-01-
Data de envio: dc.date.issued2021-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.5269/bspm.47770-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/234102-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/234102-
Descrição: dc.descriptionMathematics has changed over time to comprise interdisciplinary fields of research, and consid- ering this, biomathematics has arisen as an interface study. In this work, we analyze the dynamical behavior of the Hindmarsh-Rose neuron model, which describes the neuronal bursting in a single neuron. A stability study through the Lyapunov exponents method is proposed and evidence of a chaotic dynamics is presented. This chaotic behavior is biologically comparable to an individual undergoing an epileptic seizure, in which the application of an efficient controller represents a proposal for preventing epilepsy from happening. Therefore, a control design based on the State-Dependent Riccati Equation is proposed aiming to reduce the oscillation of the system to a desired orbit. The results show that the controller is efficient and robust as a method for preventing epileptic seizures.-
Descrição: dc.descriptionDepartment of Mathematics UFMS - Universidade Federal de Mato Grosso do Sul-
Descrição: dc.descriptionDepartment of Mathematics UNESP - Universidade Estadual Pauslita Julio de Mesquita Filho-
Descrição: dc.descriptionDepartment of Mathematics UNESP - Universidade Estadual Pauslita Julio de Mesquita Filho-
Idioma: dc.languageen-
Relação: dc.relationBoletim da Sociedade Paranaense de Matematica-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectChaos-
Palavras-chave: dc.subjectnonlinear dynamics-
Palavras-chave: dc.subjectsdre control-
Título: dc.titleNonlinear Dynamics, Chaos and Control of the Hindmarsh-Rose Neuron Model-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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