# Multistability in Piecewise Linear Systems versus Eigenspectra Variation and Round Function

@article{GilardiVelzquez2017MultistabilityIP, title={Multistability in Piecewise Linear Systems versus Eigenspectra Variation and Round Function}, author={H. E. Gilardi-Vel{\'a}zquez and Luis J. Ontanon-Garcia and Germ{\'a}n Rodr{\'i}guez and Eric Campos-Cant{\'o}n}, journal={Int. J. Bifurc. Chaos}, year={2017}, volume={27}, pages={1730031:1-1730031:14} }

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…

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