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Communication Dans Un Congrès Année : 2019

Employing 0-1 test for chaos to characterize the chaotic dynamics of a generalized Gauss iterated map

Résumé

This work deals with the numerical analysis of the nonlinear dynamics of a Gauss iterated map in a generalized form, obtained with the inclusion of two extra parameters, which makes the map dynamic behavior quite different from the original system. For the exploration of such dynamics, the 0-1 test for chaos is employed to identify intervals of parameters associated with chaotic and regular behavior. The validity of the chaoticity-regularity classification obtained with 0-1 test is confirmed by comparison with bifurcation diagrams. Contour maps reveal regions where chaotic behavior could be observed when two parameters are considered for the analysis. Palavras-chave. nonlinear dynamics, chaotic system, generalized Gauss iterated map, 0-1 test for chaos
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hal-02388470 , version 1 (01-12-2019)

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  • HAL Id : hal-02388470 , version 1

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Michel Tosin, Marcos Vinicius Issa, Diego Matos, Alexandre Do Nascimento, Americo Cunha Jr. Employing 0-1 test for chaos to characterize the chaotic dynamics of a generalized Gauss iterated map. XIV Conferência Brasileira de Dinâmica, Controle e Aplicações (DINCON 2019), Nov 2019, São Carlos, Brazil. ⟨hal-02388470⟩

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