Paper Info
Title
Maximal Unstable Dissipative Interval to Preserve Multi-scroll Attractors via Multi-saturated Functions.
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.
Year
DOI
Venue
2016
https://doi.org/10.1007/s00332-016-9321-x
J. Nonlinear Science
Keywords
Field
DocType
Unstable dissipative systems,Switching systems,Chaotic systems,Linear control systems,37Exx,37FXX,37N35
Scroll,Attractor,Control function,Mathematical analysis,Companion matrices,Dissipative system,Dynamical systems theory,Piecewise linear function,Piecewise,Mathematics
Journal
Volume
Issue
ISSN
26
6
0938-8974
Citations 
PageRank 
References 
0
0.34
4
Authors
4
Name
Order
Citations
PageRank
Edgar C. Díaz-González100.34
Jorge-Antonio López-Rentería221.72
E. Campos-Cantón3247.81
Baltazar Aguirre-Hernández472.89