Chaotic attractors based on unstable dissipative systems via third-order differential equation

Author:

Campos-Cantón E.1

Affiliation:

1. División de Matemáticas Aplicadas, Instituto Potosino de Investigación Científica y Tecnológica, Camino a la Presa San José 2055, Col. Lomas 4 sección, San Luis Potosí, S.L.P., CP. 78216, México

Abstract

In this paper, we present an approach how to yield 1D, 2D and 3D-grid multi-scroll chaotic systems in [Formula: see text] based on unstable dissipative systems via third-order differential equation. This class of systems is constructed by a switching control law(SCL) changing the equilibrium point of an unstable dissipative system. The switching control law that governs the position of the equilibrium point varies according to the number of scrolls displayed in the attractor.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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