Título

On the relation between the number of scrolls and the lyapunov exponents in PWL-functions-based η-scroll chaotic oscillators

Autor

RODOLFO TREJO GUERRA

ESTEBAN TLELO CUAUTLE

JESUS MANUEL MUÑOZ PACHECO

CARLOS SANCHEZ LOPEZ

Nivel de Acceso

Acceso Abierto

Resumen o descripción

A challenge in the physical design of η-scroll attractors is to generate a large number of scrolls. However, an open question is: Does the large number of scrolls determine a better chaotic behavior? We present a partial answer to this question by computing the Lyapunov exponents for piecewise-linear (PWL) functions based on η-scroll third order chaotic oscillators, namely: Zhong modified Chua's circuit, Yu modified Chua's circuit, saturated function series based chaotic oscillator, and generalized Chua's circuit with saw-tooth function. Three different integration methods (forward Euler, fourth order Runge Kutta and Matlab ODE 45) are used in order to show that the positive Lyapunov exponent is not significantly incremented in relation with the number of scrolls.

Editor

Freund Publishing House Ltd.

Fecha de publicación

2010

Tipo de publicación

Artículo

Versión de la publicación

Versión aceptada

Formato

application/pdf

Idioma

Inglés

Relación

&

Numerical Simulation, Vol. 11, (11): 903-910

Audiencia

Estudiantes

Investigadores

Público en general

Sugerencia de citación

Trejo-Guerra, R. On the relation between the number of scrolls and the lyapunov exponents in PWL-functions-based η-scroll chaotic oscillators, International Journal of Nonlinear Sciences

Repositorio Orígen

Repositorio Institucional del INAOE

Descargas

353

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