On multistability behavior of unstable dissipative systems

"We present dissipative systems with unstable dynamics called the unstable dissipative systems which are capable of generating a multi-stable behavior, i.e., depending on its initial condition, the trajectory of the system converges to a specific attractor. Piecewise linear ( PWL) systems are g...

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Detalles Bibliográficos
Autores: ANDRES ANZO HERNANDEZ, Héctor Eduardo Gilardi Velázquez, Eric Campos Cantón
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2018
País:México
Institución:Instituto Potosino de Investigación Científica y Tecnológica
Repositorio:Repositorio Institucional del IPICYT
OAI Identifier:oai:ipicyt.repositorioinstitucional.mx:1010/1711
Acceso en línea:http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1711
Access Level:acceso embargado
Palabra clave:info:eu-repo/classification/Autor/Multiple attractors
info:eu-repo/classification/Autor/Dynamics
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
Descripción
Sumario:"We present dissipative systems with unstable dynamics called the unstable dissipative systems which are capable of generating a multi-stable behavior, i.e., depending on its initial condition, the trajectory of the system converges to a specific attractor. Piecewise linear ( PWL) systems are generated based on unstable dissipative systems, whose main attribute when they are switched is the generation of chaotic trajectories with multiple wings or scrolls. For this PWL system, a structure is proposed where both the linear part and the switching function depend on two parameters. We show the range of values of such parameters where the PWL system presents a multistable behavior and trajectories with multiscrolls."