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

E. Campos-Cantón ()
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E. Campos-Cantón: 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

International Journal of Modern Physics C (IJMPC), 2016, vol. 27, issue 01, 1-11

Abstract: In this paper, we present an approach how to yield 1D, 2D and 3D-grid multi-scroll chaotic systems in R3 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.

Keywords: Unstable dissipative systems; multiscrolls attractors; chaos; jerk equation; saddle equilibria (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S012918311650008X

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