Non-autonomous Chua's Circuit Chaotic Analytic Prediction And Synchronization Behavior

Three non-autonomous Chua's circuit model is proposed in this paper, a new prediction method of chaotic analysis is used to predict parameters of the circuit; Simulation and Lyapunov exponent analysis demonstrated three kinds of non-autonomous Chua's chaotic circuit in analytical prediction; A new chaotic synchronization method is proposed, three kinds of non-autonomous Chua's circuit in mismatched parameter has been studied by using the method; Circuit simulation is carried out in this chaotic synchronization; A concrete realization of the synchronization circuit is given and Pspice circuit simulation is carried out.In this paper, the analytical prediction of chaos in three types of non-autonomous Chua's circuit has done: design three non-autonomous Chua's circuit model (current driven Chua's circuit, voltage driven Chua's circuit, current-voltage double- driven Chua's circuit), and establish non-linear dynamic equations, and then set up the first harmonic solution for the solutions, through the slow-varying parameters of harmonic solution to set up the dynamic equation and the corresponding average equation, by dealing with the slowly-varying parameters of harmonic solution, then according to discrete kinetic theory, the parameters of the conditions of non-autonomous Chua's circuit can be solved. Through the work the following conclusions is established:1) In the current driven Chua's circuit, the driven current with low frequency can easily produce chaos compared with low frequency, small amplitude is fitted for chaos .2) In the voltage driven Chua's circuit, the driven voltage with high frequency can easily produce chaos compared with low frequency, chaos does not produce below the fundamental frequency, beyond certain high frequency, the smaller amplitude of voltage can easily lead to chaos.3) In the current-voltage double-driven Chua's circuit, when the driven current and driven voltage in the same frequency, high frequency can easily produce chaos compared with low frequency, in low-frequency region ,if the amplitude is very small chaos can generate, the smaller amplitude of current and voltage can easily lead to chaos.In this paper, three kinds of non-autonomous Chaotic Synchronization of Chua's circuit under the mismatched parameter have done: in driving system and responded system , if current and voltage amplitude and phase is mismatched, the non-autonomous equation in original system can be transformed to autonomous equation . due to an increased dimension, the current and voltage can be replaced by the weight of state equations; As a result, as long as using one-way coupled synchronization method and non - linear differential geometric control theory, the system reduces the dimension, the conditions of synchronization is obtained and system's synchronization is solved.Through the work the following conclusions is established:1) Synchronization is solved in non-autonomous Chua's chaotic circuit with mismatched parameters.2) Non-linear differential geometric control theory is particularly suitable for high-dimensional chaotic system synchronization .3) In non-autonomous Chua's circuit with mismatched parameter, not only synchronization can be achieved in theory, but also the circuit can easily set up.