Control and synchronization of chaos in high dimensional systems: Review of some recent results

Mingzhou Ding, E. Jiang Ding, William L. Ditto, Bruce Gluckman, Visarath In, Jian Hua Peng, Mark L. Spano, Weiming Yang

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

Controlling chaos and synchronization of chaos have evolved for a number of years as essentially two separate areas of research. Only recently it has been realized that both subjects share a common root in control theory. In addition, as limitations of low dimensional chaotic systems in modeling real world phenomena become increasingly apparent, investigations into the control and synchronization of high dimensional chaotic systems are beginning to attract more interest. We review some recent advances in control and synchronization of chaos in high dimensional systems. Efforts will be made to stress the common origins of the two subjects.

Original languageEnglish (US)
Pages (from-to)644-652
Number of pages9
JournalChaos
Volume7
Issue number4
DOIs
StatePublished - Jan 1 1997

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Chaos theory
chaos
synchronism
Chaos
Synchronization
High-dimensional
Chaotic systems
Chaotic System
Common root
Controlling Chaos
control theory
Control theory
Control Theory
Modeling
Review

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

Ding, M., Ding, E. J., Ditto, W. L., Gluckman, B., In, V., Peng, J. H., ... Yang, W. (1997). Control and synchronization of chaos in high dimensional systems: Review of some recent results. Chaos, 7(4), 644-652. https://doi.org/10.1063/1.166284
Ding, Mingzhou ; Ding, E. Jiang ; Ditto, William L. ; Gluckman, Bruce ; In, Visarath ; Peng, Jian Hua ; Spano, Mark L. ; Yang, Weiming. / Control and synchronization of chaos in high dimensional systems : Review of some recent results. In: Chaos. 1997 ; Vol. 7, No. 4. pp. 644-652.
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Ding, M, Ding, EJ, Ditto, WL, Gluckman, B, In, V, Peng, JH, Spano, ML & Yang, W 1997, 'Control and synchronization of chaos in high dimensional systems: Review of some recent results', Chaos, vol. 7, no. 4, pp. 644-652. https://doi.org/10.1063/1.166284

Control and synchronization of chaos in high dimensional systems : Review of some recent results. / Ding, Mingzhou; Ding, E. Jiang; Ditto, William L.; Gluckman, Bruce; In, Visarath; Peng, Jian Hua; Spano, Mark L.; Yang, Weiming.

In: Chaos, Vol. 7, No. 4, 01.01.1997, p. 644-652.

Research output: Contribution to journalArticle

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