Dynamical properties and combination–combination complex synchronization of four novel chaotic complex systems

Abstract In the paper, we firstly construct a novel chaotic complex system and investigate its dynamical properties including invariance, dissipativity, equilibria, Lyapunov exponents, chaotic behavior, and chaotic attractors. The combination–combination synchronization among four chaotic real nonlinear systems have been realized for the previous paper, a combination–combination complex synchronization is studied for four chaotic complex nonlinear systems in our paper. According to the Lyapunov stability theorem and adaptive control scheme, four novel chaotic complex nonlinear systems with different initial conditions are given to verify the validity and feasibility of the proposed control method.

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