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Tangent Method and Some Dynamical Properties of an Oval-Like Billiard

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Autor(es):
da Costa, Diogo Ricardo ; Hansen, Matheus ; Silva, Mario Roberto ; Leonel, Edson D.
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 32, n. 04, p. 15-pg., 2022-03-30.
Resumo

In this paper, we consider the evolution of an ensemble of noninteracting classical particles confined in a closed region. Each one of these particles experiences several elastic collisions with a rigid-smooth oval-like boundary. As known in the literature, numerical simulations for this kind of system demand too much time, mostly because of the time spent in solving transcendental equations. To deal with that, we highlight an alternative approach to speed up the search of solutions for the transcendental equations via the tangent method, which has proved to be a faster way to solve this problem when compared with other methods, like the bisection one. The methods applied here are generic and can be used or adapted for other billiard boundaries. (AU)

Processo FAPESP: 19/14038-6 - Investigação de propriedades dinâmicas em sistemas não lineares
Beneficiário:Edson Denis Leonel
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 20/02415-7 - StatGraph 2.0 e um massivo curso online gratuito (MOOC)
Beneficiário:Diogo Ricardo da Costa
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
Processo FAPESP: 19/09150-1 - Efeito de tempo de atraso e plasticidade em sincronização neuronal
Beneficiário:Matheus Hansen Francisco
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado