Research article

The fractional-order unified chaotic system: A general cascade synchronization method and application

  • Received: 23 December 2019 Accepted: 26 April 2020 Published: 09 May 2020
  • MSC : 34D06, 34H10

  • In this paper, we extend the cascade synchronization of integer-order chaotic systems to function cascade synchronization of fractional-order chaotic systems. The nice feature of our method is that a fractional-order chaotic system will synchronize to another system via a scaling function. The rich choices of the scaling function turn our method more general than some existing methods. As applications, we take a fractional-order unified chaotic system as an illustrative example to test the effectiveness.

    Citation: Hongli An, Dali Feng, Li Sun, Haixing Zhu. The fractional-order unified chaotic system: A general cascade synchronization method and application[J]. AIMS Mathematics, 2020, 5(5): 4345-4356. doi: 10.3934/math.2020277

    Related Papers:

  • In this paper, we extend the cascade synchronization of integer-order chaotic systems to function cascade synchronization of fractional-order chaotic systems. The nice feature of our method is that a fractional-order chaotic system will synchronize to another system via a scaling function. The rich choices of the scaling function turn our method more general than some existing methods. As applications, we take a fractional-order unified chaotic system as an illustrative example to test the effectiveness.


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