In this paper we present a new class of dynamical system without equilibria
which possesses a multi scroll attractor. It is a piecewise-linear (PWL) system
which is simple, stable, displays chaotic behavior and serves as a model for
analogous non-linear systems. We test for chaos using the 0-1 Test for Chaos of
Ref.12.Comment: Corresponding Author: Eric Campos-Cant\'o

Campos-Cantón, E.

Escalante-González, R. J.

Nicol, Matthew

English

arXiv

"In this paper, we present a new class of dynamical system without equilibria which possesses a multiscroll attractor. It is a piecewise-linear system which is simple, stable, displays chaotic behavior and serves as a model for analogous non-linear systems. We test for chaos using the 0-1 Test for Chaos from Gottwald and Melbourne [SIAM J. Appl. Dyn. Syst. 8(1), 129-145 (2009)]. Piecewise-linear (PWL) systems are switching systems composed of linear affine subsystems along with a rule which determines the acting subsystem. These systems are known to be capable of producing chaotic attractors, as in the well studied Chua's circuit. This paper discusses the generation of multiscroll attractors without equilibria based on PWL systems.

Escalante González, Rodolfo de Jesús

Campos Cantón, Eric

Matthew Nicol

Repositorio IPICYT

Generation of multi-scroll attractors without equilibria via piecewise linear systems

R. J. Escalante-González

E. Campos-Cantón

Crossref

Chaos An Interdisciplinary Journal of Nonlinear Science

Generation of multi-scroll attractors without equilibria via piecewise linear           systems

Generation of Multi-Scroll Attractors Without Equilibria Via Piecewise
  Linear Systems

Generation of Multi-Scroll Attractors Without Equilibria Via Piecewise Linear Systems

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Repositorio IPICYT

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