Dynamic analysis and synchronization for a generalized class of nonlinear systems

D. Becker-Bessudo, A. I. Klip-Kahan, S. Leboreiro-Velez, S. Carrillo-Moreno, J. J. Flores-Godoy, G. Fernandez-Anaya

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper presents a generalized differential equation structure which gives rise to new nonlinear, chaotic systems and also encompasses many well known systems, i.e. Lorenz, Chen, Lü, Rössler, Sprott and others. Throughout the paper we shall analyze several properties from a few of the systems derived from this general structure. Some of the systems described in the article, to the extent of the authors knowledge, have not been published. The analytical and numerical results derived from these analysis have shown evidence of chaotic behavior. We will also address the possibility of quasi-simultaneous synchronization for some members of this class of chaotic systems.

Original languageEnglish
Title of host publication3rd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2012
PublisherIFAC Secretariat
Pages154-158
Number of pages5
Edition12
ISBN (Print)9783902823021
DOIs
StatePublished - 2012
Externally publishedYes
Event3rd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2012 - Cancun, Mexico
Duration: 20 Jun 201222 Jun 2012

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number12
Volume45
ISSN (Print)1474-6670

Conference

Conference3rd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2012
Country/TerritoryMexico
CityCancun
Period20/06/1222/06/12

Keywords

  • Chaotic-Nonlinear Systems
  • Control
  • Observers
  • Stabilization
  • Synchronization

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