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Multistability in Piecewise Linear Systems versus Eigenspectra Variation and Round Function
artnum: 1730031
related by: authorship_31096
most specific type: Article
most specific type: Document
type: Generically Dependent Continuant
type: Document
type: Continuant
doi: 10.1142/S0218127417300312
related by: authorship_31093
crisid: 5121
date time value: article date 5121
issue: 9
abstract: A multistable system generated by Piecewise Linear (PWL) subsystems based on the jerk equation is presented. The system%27s behavior is characterized by means of the Nearest Integer or the round(x) function to control the switching events and to locate the corresponding equilibria on each of the commutation surfaces. These surfaces are generated through the switching function dividing the space into regions equally distributed along one axis. The trajectory of the system is governed by the eigenspectrum of the coefficient matrix, which can be adjusted by a bifurcation parameter. The behavior of the system can change from multiscroll oscillations in a mono-stable state into the coexistence of several single-scroll attractors in multistable states. The dynamics and bifurcation analysis are illustrated by numerical simulations to depict the multistable states. © 2017 World Scientific Publishing Company.
type: Information Content Entity
accesstype: All Open Access, Green
origen: scopus
related by: authorship_31095
estado: published
type: Article
related by: authorship_31094
type: Entity
type: Thing
abstract: A multistable system generated by Piecewise Linear (PWL) subsystems based on the jerk equation is presented. The system's behavior is characterized by means of the Nearest Integer or the round(x) function to control the switching events and to locate the corresponding equilibria on each of the commutation surfaces. These surfaces are generated through the switching function dividing the space into regions equally distributed along one axis. The trajectory of the system is governed by the eigenspectrum of the coefficient matrix, which can be adjusted by a bifurcation parameter. The behavior of the system can change from multiscroll oscillations in a mono-stable state into the coexistence of several single-scroll attractors in multistable states. The dynamics and bifurcation analysis are illustrated by numerical simulations to depict the multistable states. © 2017 World Scientific Publishing Company.
volume: 27
e iscopus: 2-s2.0-85029388616
has publication venue: International Journal of Bifurcation and Chaos
freetext keyword: bifurcation; chaos; eigenspectrum; multiscroll attractor; Multistability; piecewise linear system; round function Bifurcation (mathematics); Chaos theory; Linear systems; Eigenspectrum; Multi stabilities; Multi-scroll attractors; Piece-wise linear systems; Round functions; Piecewise linear techniques

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date: 2026-08-25T14:37:39
publisher: vivo
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Article
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International Journal of Bifurcation and Chaos
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publication venue for: Multistability in Piecewise Linear Systems versus Eigenspectra Variation and Round Function
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type: Generically Dependent Continuant

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