Construction of a new fractional chaotic system and generalized synchronization

Xiao Dan Zhang, Pin Dong Zhao, Aihua Li

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

In this paper a new dynamic system with integer and fractional order is investigated. It is shown that determining the effect of quadratic coefficients to the systematic structure can be converted to determining that of coefficients of the linear part. Under some parametric conditions, the system can produce chaotic attractors similar as Lorenz attractor. A constructive theorem is proposed for generalized synchronization related to the fractional-order chaotic system and an application of this new system is demonstrated.

Original languageEnglish
Pages (from-to)1105-1110
Number of pages6
JournalCommunications in Theoretical Physics
Volume53
Issue number6
DOIs
StatePublished - 30 Jun 2010

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synchronism
coefficients
integers
theorems

Keywords

  • Chaos
  • fractional-order system
  • generalized synchronization

Cite this

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Construction of a new fractional chaotic system and generalized synchronization. / Zhang, Xiao Dan; Zhao, Pin Dong; Li, Aihua.

In: Communications in Theoretical Physics, Vol. 53, No. 6, 30.06.2010, p. 1105-1110.

Research output: Contribution to journalArticle

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