Abstract
The combination-combination synchronization scheme is based on combination of multidrive systems and combination of multiresponse systems. In this paper, we investigate combination-combination synchronization of hyperchaotic complex memristor oscillator system. Several sufficient conditions are provided to ascertain the combination of two drive hyperchaotic complex memristor oscillator systems to synchronize the combination of two response hyperchaotic complex memristor oscillator systems. These new conditions improve and extend the existing synchronization results for memristive systems. A numerical example is given to show the feasibility of theoretical results.
Highlights
Since the characteristics of passive two-terminal memristor are reviewed, lots of emulators and macromodels have been proposed
We investigate combination-combination synchronization of hyperchaotic complex memristor oscillator system
Talukdar et al [7] reported the nonlinear dynamics of three memristor-based phase shift oscillators
Summary
Since the characteristics of passive two-terminal memristor are reviewed, lots of emulators and macromodels have been proposed. In. Mathematical Problems in Engineering this way, when chaos synchronization is applied to secure communication, the information signal is transmitted by only one chaotic system, which is not suitable for very highperformance secure communication. A theoretical question is whether we can design a synchronization scheme on the combination of multidrive systems and combination of multiresponse systems. Motivated by the above discussions, in this paper, firstly, a new hyperchaotic complex memristor oscillator system is introduced and studied. Hyperchaotic complex memristor oscillator system might improve the security of chaotic communication system. (3) The proposed scheme of combination-combination synchronization in this paper can be applied to the general nonlinear systems.
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