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Generalization of combination-combination synchronization of chaotic n-dimensional fractional-order dynamical systems

Research Authors
G. M. Mahmoud, T. M. Abed – Elhameed, and M. E. Ahmed
Research Abstract

The generalization of combination–
combination (C–C) synchronization of chaotic
n-dimensional (nD) fractional-order (0 < α ≤ 1)
dynamical systems is studied. Firstly, we replace arbitrary
four chaotic nD ordinary dynamical systems by
four chaotic nD fractional-order dynamical systems
which have unique solutions. Secondly, we extend the
scheme of a recent paper (Sun et al. in Nonlinear
Dyn 73: 1211–1222, 2013) to study the generalization
of C–C synchronization among four nDfractionalorder
dynamical systems. Examples of combination–
combination synchronization among four identical or
different of 6D chaotic fractional-order systems are discussed.
The analytical formula of the control functions
is tested numerically to achieve C–C synchronization,
and good agreement is found

Research Department
Research Journal
Nonlinear Dynamics
Research Publisher
NULL
Research Rank
1
Research Vol
83
Research Website
NULL
Research Year
2016
Research Pages
1885-1893