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- Title
Generalization of combination-combination synchronization of chaotic n-dimensional fractional-order dynamical systems.
- Authors
Mahmoud, Gamal; Abed-Elhameed, Tarek; Ahmed, Mansour
- Abstract
The generalization of combination-combination (C-C) synchronization of chaotic n-dimensional ( nD) fractional-order $$(0<\alpha \le 1)$$ 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, ) to study the generalization of C-C synchronization among four nD fractional-order 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.
- Subjects
SYNCHRONIZATION; FRACTIONAL calculus; AUTONOMOUS differential equations; MATRICES (Mathematics); LINEAR differential equations
- Publication
Nonlinear Dynamics, 2016, Vol 83, Issue 4, p1885
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-015-2453-y