title: Attractors generated from switching unstable dissipative systems.
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.
authors.affiliation: División 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
authors.forename: Eric
authors.initials: E
authors.lastname: Campos-Cantón
authors.forename: Ricardo
authors.initials: R
authors.lastname: Femat
authors.forename: Guanrong
authors.initials: G
authors.lastname: Chen