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Three schemes to synchronize chaotic fractional-order Rucklidge systems. (English) Zbl 1115.37036
Summary: 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.
MSC:
37D45Strange attractors, chaotic dynamics
93C10Nonlinear control systems
93B52Feedback control
37N99Applications of dynamical systems