Generation of chaotic attractors without equilibria via piecewise linear systems

R. J. Escalante-González and E. Campos-Cantón ()
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R. J. Escalante-González: División de Matemáticas Aplicadas, Instituto Potosino de Investigación Científica y Tecnológica, A. C., Camino a la Presa San José 2055, Col. Lomas 4 Sección, C. P. 78216, San Luis Potosí, S.L.P., México
E. Campos-Cantón: División de Matemáticas Aplicadas, Instituto Potosino de Investigación Científica y Tecnológica, A. C., Camino a la Presa San José 2055, Col. Lomas 4 Sección, C. P. 78216, San Luis Potosí, S.L.P., México

International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 01, 1-11

Abstract: In this paper, we present a mechanism of generation of a class of switched dynamical system without equilibrium points that generates a chaotic attractor. The switched dynamical systems are based on piecewise linear (PWL) systems. The theoretical results are formally given through a theorem and corollary which give necessary and sufficient conditions to guarantee that a linear affine dynamical system has no equilibria. Numerical results are in accordance with the theory.

Keywords: Dynamical systems; systems without equilibrium; linear systems (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S0129183117500085

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