Show simple item record


Maximal unstable dissipative interval to preserve multi-scroll attractors via multi-saturated functions

dc.contributor.authorDíaz González, Edgar Cristian
dc.contributor.authorLópez Rentería, Jorge Antonio
dc.contributor.authorCampos Cantón, Eric
dc.contributor.authorAguirre Hernández, Baltazar
dc.identifier.citationDíaz-González, E.C., López-Rentería, JA., Campos-Cantón, E. et al. J Nonlinear Sci (2016) 26: 1833.
dc.description.abstract"In this paper, we present families of piecewise linear systems which are controlled by a continuous piecewise monoparametric control function for the generation of monoparametric families of multi-scroll attractors. Thus, the maximum range of values that the parameter set can take in order to preserve the useful dynamics for generating of multi-scroll attractors is found and it will be called maximal robust dynamics interval. This class of dynamical systems is the result of combining two or more unstable “one-spiral” trajectories. We give necessary and sufficient conditions in order to preserve multi-scroll attractors in terms of a parameter, i.e., a family of multi-scroll attractors is generated by means of a family of switching systems with multiple monoparametric companion matrices. Lastly, we provide an example to show how the developed theory works."
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.subjectUnstable dissipative systems
dc.subjectSwitching systems
dc.subjectChaotic systems
dc.subjectLinear control systems
dc.titleMaximal unstable dissipative interval to preserve multi-scroll attractors via multi-saturated functions
dc.rights.accessAcceso Abierto

Files in this item


This item appears in the following Collection(s)

Show simple item record

Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional