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Consejo Nacional de Ciencia y Tecnología, CONACYT: 181002
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type: BFO_0000020
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funding vehicle for: Preservation of a two-wing Lorenz-like attractor with stable equilibria

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RDF description of Preservation of a two-wing Lorenz-like attractor with stable equilibria - http://orbis.uaslp.mx/vivo/individual/scopus3520
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date: 2026-08-27T17:38:53
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Journal of the Franklin Institute
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publication venue for: Preservation of a two-wing Lorenz-like attractor with stable equilibria
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Article
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Preservation of a two-wing Lorenz-like attractor with stable equilibria
doi: 10.1016/j.jfranklin.2013.04.018
type: Document
issue: 10
e iscopus: 2-s2.0-84887316966
page start: 2867
type: Information Content Entity
type: Continuant
volume: 350
freetext keyword: Basin of attraction; Basins of attraction; Controlled system; Coupling strengths; Initial conditions; Multi stabilities; Stable equilibrium; Stable equilibrium points; Computer networks; Control; Switching systems
has publication venue: Journal of the Franklin Institute
type: Generically Dependent Continuant
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estado: published
origen: scopus
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page end: 2880
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type: Article
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date time value: article date 3521
related by: authorship_20278
most specific type: Article
abstract: 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.
crisid: 3521
has funding vehicle: Consejo Nacional de Ciencia y Tecnología, CONACYT: 181002

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