Family of Bistable Attractors Contained in an Unstable Dissipative Switching System Associated to a SNLF

Family of Bistable Attractors Contained in an Unstable Dissipative Switching System Associated to a SNLF

This work presents a multiscroll generator system, which addresses the issue by the implementation of 9-level saturated nonlinear function, SNLF, being modified with a new control parameter that acts as a bifurcation parameter. By means of the modification of the newly introduced parameter, it is po...

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Main Authors: J. L. Echenausía-Monroy, J. H. García-López, R. Jaimes-Reátegui, D. López-Mancilla, G. Huerta-Cuellar
Format: Article
Language:English
Published: Hindawi-Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/6794791
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spelling doaj-6c9353c32a014169ac0e008d000936f32020-11-24T20:47:11ZengHindawi-WileyComplexity1076-27871099-05262018-01-01201810.1155/2018/67947916794791Family of Bistable Attractors Contained in an Unstable Dissipative Switching System Associated to a SNLFJ. L. Echenausía-Monroy0J. H. García-López1R. Jaimes-Reátegui2D. López-Mancilla3G. Huerta-Cuellar4Dynamical Systems Laboratory, CULagos, University of Guadalajara, 1144 Enrique Díaz de León St., Paseos de la Montaña, Lagos de Moreno, Jalisco 47460, MexicoDynamical Systems Laboratory, CULagos, University of Guadalajara, 1144 Enrique Díaz de León St., Paseos de la Montaña, Lagos de Moreno, Jalisco 47460, MexicoDynamical Systems Laboratory, CULagos, University of Guadalajara, 1144 Enrique Díaz de León St., Paseos de la Montaña, Lagos de Moreno, Jalisco 47460, MexicoDynamical Systems Laboratory, CULagos, University of Guadalajara, 1144 Enrique Díaz de León St., Paseos de la Montaña, Lagos de Moreno, Jalisco 47460, MexicoDynamical Systems Laboratory, CULagos, University of Guadalajara, 1144 Enrique Díaz de León St., Paseos de la Montaña, Lagos de Moreno, Jalisco 47460, MexicoThis work presents a multiscroll generator system, which addresses the issue by the implementation of 9-level saturated nonlinear function, SNLF, being modified with a new control parameter that acts as a bifurcation parameter. By means of the modification of the newly introduced parameter, it is possible to control the number of scrolls to generate. The proposed system has richer dynamics than the original, not only presenting the generation of a global attractor; it is capable of generating monostable and bistable multiscrolls. The study of the basin of attraction for the natural attractor generation (9-scroll SNLF) shows the restrictions in the initial conditions space where the system is capable of presenting dynamical responses, limiting its possible electronic implementations.http://dx.doi.org/10.1155/2018/6794791
collection DOAJ
language English
format Article
sources DOAJ
author J. L. Echenausía-Monroy
J. H. García-López
R. Jaimes-Reátegui
D. López-Mancilla
G. Huerta-Cuellar
spellingShingle J. L. Echenausía-Monroy
J. H. García-López
R. Jaimes-Reátegui
D. López-Mancilla
G. Huerta-Cuellar
Family of Bistable Attractors Contained in an Unstable Dissipative Switching System Associated to a SNLF
Complexity
author_facet J. L. Echenausía-Monroy
J. H. García-López
R. Jaimes-Reátegui
D. López-Mancilla
G. Huerta-Cuellar
author_sort J. L. Echenausía-Monroy
title Family of Bistable Attractors Contained in an Unstable Dissipative Switching System Associated to a SNLF
title_short Family of Bistable Attractors Contained in an Unstable Dissipative Switching System Associated to a SNLF
title_full Family of Bistable Attractors Contained in an Unstable Dissipative Switching System Associated to a SNLF
title_fullStr Family of Bistable Attractors Contained in an Unstable Dissipative Switching System Associated to a SNLF
title_full_unstemmed Family of Bistable Attractors Contained in an Unstable Dissipative Switching System Associated to a SNLF
title_sort family of bistable attractors contained in an unstable dissipative switching system associated to a snlf
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2018-01-01
description This work presents a multiscroll generator system, which addresses the issue by the implementation of 9-level saturated nonlinear function, SNLF, being modified with a new control parameter that acts as a bifurcation parameter. By means of the modification of the newly introduced parameter, it is possible to control the number of scrolls to generate. The proposed system has richer dynamics than the original, not only presenting the generation of a global attractor; it is capable of generating monostable and bistable multiscrolls. The study of the basin of attraction for the natural attractor generation (9-scroll SNLF) shows the restrictions in the initial conditions space where the system is capable of presenting dynamical responses, limiting its possible electronic implementations.
url http://dx.doi.org/10.1155/2018/6794791
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