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Attractors generated from switching unstable dissipative systems
Eric Campos-Cantón1, Ricardo Femat, Guanrong Chen
1División de Matemáticas Aplicadas, IPICyT, Camino a la Presa San José 2055 col. Lomas 4a Sección, 78216 San Luis Potosí, SLP, Mexico. eric.campos@ipicyt.edu.mx
Abstract:
In this paper, we present a class of 3-D unstable dissipative systems, which are stable in two components but unstable in the other one. This class of systems is motivated by whirls, comprised of switching subsystems, which yield strange attractors from the combination of two unstable "one-spiral" trajectories by means of a switching rule. Each one of these trajectories moves around two hyperbolic saddle equilibrium points. Both theoretical and numerical results are provided for verification and demonstration.
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