| Chaos is a kind of complex but not completely random motion form which exists in nonlinear system widely.In recent years,the study of synchronization and control for chaos makes great progress.It becomes one of the popular topics.Hyperchaotic systems are applied on following areas such as secure communication,medicine,biology,circuitry and economics that because hyperchaotic systems have more complex dynamic behavior than low-dimension system done.The study of synchronization and control for hyperchaotic systems is very meaningful on both theory and application.Based on traditional Lorenz chaotic systems,a new hyperchaotic system is created that has more complex dynamic behavior and only has one balance point.The dissipation and the existence of attractors,the stability of equilibrium point,the dimension of attractors,Lyapunov exponent and bifurcation are analyzed in this paper,and the circuit of this system is designed,finally hardware circuit is implement.Three methods are used on studying synchronization of this hyperchaotic system,including active control method,state observer method,adaptive method.Circuit experiment and numerical simulation are provided to verify the effectiveness of controllers.Finally of this paper,adaptive synchronization,mismatch projective synchronization method and linear feedback synchronization method are used to study synchronization for the new hyperchaotic system with unknown parameters,theoretical analysis,numerical simulation and circuit simulation prove that controllers are effective and it can identify the unknown parameters accurately. |
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