Chaos Synchronization of the Fractional Rucklidge System Based on New Adomian Polynomials
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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. © 2017 L & H Scientific Publishing, LLC.
Description
Keywords
Adomian Polynomials, Chaos, Fractional Differential Equations, Dynamical systems in control, chaotic models, Fractional derivatives and integrals, Synchronization of solutions to ordinary differential equations, Fractional ordinary differential equations, Adomian polynomials, Rucklidge system
Fields of Science
0209 industrial biotechnology, 0103 physical sciences, 02 engineering and technology, 01 natural sciences
Citation
Wu, G.-C.; Baleanu, D.; Huang, L.-L.,"Chaos Synchronization of the Fractional Rucklidge System Based On New Adomian Polynomials",Journal of Applied Nonlinear Dynamics, Vol. 6, No. 3, pp. 379-385, (2017).
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OpenCitations Citation Count
4
Volume
6
Issue
3
Start Page
379
End Page
385
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Scopus : 9
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