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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.
Multistability in Piecewise Linear Systems versus Eigenspectra Variation and Round Function
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.
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
Generically Dependent Continuant
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International Journal of Bifurcation and Chaos
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