Título

Preservation of a two-wing Lorenz-like attractor with stable equilibria

Autor

Luis Javier Ortañón García Pimentel

Eric Campos Cantón

Nivel de Acceso

Acceso Abierto

Identificador alterno

doi: https://doi.org/10.1016/j.jfranklin.2013.04.018

Resumen o descripción

"In this paper, we present the preservation of a two-wing Lorenz-like attractor when in the Lorenz system a feedback control is applied, making two of its equilibria a sink. The forced system is capable of generating bistability and the trajectory settles down at one stable equilibrium point depending on the initial condition when the forced signal is zero. Due to a variation in the coupling strength of the control signal the symmetric equilibria of the Lorenz system move causing the basins of attraction to be the dynamic bounded regions that change accordingly. Thus, the preservation of a two-wing Lorenz-like attractor is possible using a switched control law between these dynamic basins of attraction. The forced switched systems also preserve multistability regarding the coupling strength and present multivalued synchronization according to the basin of attraction in which they were initialized. Bifurcations of the controlled system are used to exemplify the different basins generated by the forcing. An illustrative example is given to demonstrate the approach proposed."

Editor

Elsevier

Fecha de publicación

2013

Tipo de publicación

Artículo

Versión de la publicación

Versión enviada

Formato

application/pdf

Sugerencia de citación

L.J. Ontañón García, E. Campos-Cantón, Preservation of a two-wing Lorenz-like attractor with stable equilibria, Journal of the Franklin Institute, Volume 350, Issue 10, 2013, Pages 2867-2880.

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