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Journal of Applied Nonlinear Dynamics 6(3) (2017) 379--385 | DOI:10.5890/JAND.2017.09.006

Guo-Cheng Wu$^{1}$ , Dumitru Baleanu$^{2}$,$^{3}$, Lan-Lan Huang$^{4}$

$^{1}$ College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, China

$^{2}$ Department of Mathematics, Cankaya University, 06530 Balgat, Ankara, Turkey

$^{3}$ Institute of Space Sciences, Magurele–Bucharest, Romania

$^{4}$ College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China

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Abstract

The fractional Rucklidge system is a new kind of chaotic models which hold the feature of memory effects and can depict the long history interactions. A numerical formula is proposed by use of the fast Adomian polynomials. Chaotic behavior are discussed and the Poincare sections are given for various fractional cases. It’s also applied in chaos synchronization of the fractional system.

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