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Active control strategy for synchronization and anti-synchronization of a fractional chaotic financial system

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  • Huang, Chengdai
  • Cao, Jinde

Abstract

This paper is concerned with the issues of synchronization and anti-synchronization for fractional chaotic financial system with market confidence by taking advantage of active control approach. Some sufficient conditions are derived to guarantee the synchronization and anti-synchronization for the proposed fractional system. Moreover, the relationship between the order and synchronization(anti-synchronization) is demonstrated numerically. It reveals that synchronization(anti-synchronization) is faster as the order increases. Finally, two illustrative examples are exploited to verify the efficiency of the obtained theoretical results.

Suggested Citation

  • Huang, Chengdai & Cao, Jinde, 2017. "Active control strategy for synchronization and anti-synchronization of a fractional chaotic financial system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 262-275.
    • Handle: RePEc:eee:phsmap:v:473:y:2017:i:c:p:262-275
    DOI: 10.1016/j.physa.2017.01.009
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    References listed on IDEAS

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