Chaos Synchronization in Coupled Chaotic Oscillators with Multiple Positive Lyapunov Exponents

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Abstract
We investigate chaos synchronization in coupled chaotic oscillators by local feedback injections (pinnings). A novel approach to count the dimension of unstable manifold of coupled systems and to characterize the controllability condition of chaos synchronization is suggested. The relation between pinning density and the diffusive and gradient couplings is investigated in detail, and it is shown that high control efficiency can be achieved at strong gradient coupling.