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Multiscroll attractors by switching systems
ERIC CAMPOS CANTON
JUAN GONZALO BARAJAS RAMIREZ
GUALBERTO CELESTINO SOLIS PERALES
ALEJANDRO RICARDO FEMAT FLORES
Acceso Abierto
Atribución-NoComercial-SinDerivadas
https://doi.org/10.1063/1.3314278
Chaos
Differential equations;
Nonlinear dynamical systems;
Synchronisation
"In this paper, we present a class of three-dimensional dynamical systems having multiscrolls which we call unstable dissipative systems (UDSs). The UDSs are dissipative in one of its components but unstable in the other two. This class of systems is constructed with a switching law to display various multiscroll strange attractors. The multiscroll strange attractors result from the combination of several unstable "one-spiral" trajectories by means of switching. Each of these trajectories lies around a saddle hyperbolic stationary point. Thus, we describe how a piecewise-linear switching system yields multiscroll attractors, symmetric or asymmetric, with chaotic behavior."
American Institute of Physics
2010
Artículo
Inglés
Público en general
Campos-Canton, E., et al. Chaos 20, 013116 (2010); https://doi.org/10.1063/1.3314278
CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
Versión publicada
publishedVersion - Versión publicada
Aparece en las colecciones: Publicaciones Científicas Control y Sistemas Dinámicos

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