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Consejo Nacional de Ciencia y Tecnología, CONACYT: 181002
Generically Dependent Continuant
RDF description of Preservation of a two-wing Lorenz-like attractor with stable equilibria - http://orbis.uaslp.mx/vivo/individual/scopus3520
Article
Preservation of a two-wing Lorenz-like attractor with stable equilibria
Basin of attraction; Basins of attraction; Controlled system; Coupling strengths; Initial conditions; Multi stabilities; Stable equilibrium; Stable equilibrium points; Computer networks; Control; Switching systems
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. © 2013 The Franklin Institute.
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