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

Hongli An; Dali Feng; Li Sun; Haixing Zhu; Hongli An; Dali Feng; Li Sun; Haixing Zhu

doi:10.3934/math.2020277

AIMS Mathematics

2020, Volume 5, Issue 5: 4345-4356. doi: 10.3934/math.2020277

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Research article

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

1.
College of Sciences, Nanjing Agricultural University, Nanjing 210095, PRC
2.
College of Economics and Management, Nanjing Forestry University, Nanjing 210037, PRC

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.
- synchronization,
- chaos synchronization,
- cascade synchronization,
- fractional-order unified chaotic system
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

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Abstract

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.

References

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