Construction of a new fractional chaotic system and generalized synchronization

Xiao Dan Zhang, Pin Dong Zhao, Ai Hua Li

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


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
Issue number6
StatePublished - 2010


  • Chaos
  • fractional-order system
  • generalized synchronization


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