4.5 Article

Three schemes to synchronize chaotic fractional-order Rucklidge systems

Journal

INTERNATIONAL JOURNAL OF MODERN PHYSICS B
Volume 21, Issue 12, Pages 2033-2044

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021797920703717X

Keywords

chaotic synchronization; fractional-order Rucklidge system; laplace transformation

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The synchronization problem of chaotic fractional-order Rucklidge systems is studied both theoretically and numerically. Three different synchronization schemes based on the Pecora-Carroll principle, the linear feedback control and the bidirectional coupling are proposed to realize chaotic synchronization. It is shown that such schemes can achieve the same aim for the same set of system parameter values (including fractional orders). This provides an alternate choice for applications of fractional-order dynamical systems in engineering fields.

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