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Synchronization of Two Chau��?s Oscillator��?s Using Current Conveyor (Ccii+) in Matlab Simulink

Dike UO*, Amana LA, Ogharandukun MO, Imalero T and Uko O

Introduction: A synchronization of two Chua��?s oscillator��?s, which exhibits chaotic behaviour is presented in various circuits. This new realization consists of the Current Conveyor (CCII+) based circuit, and is in parallel with the nonlinear resistor. A synchronization of two Chua��?s oscillator using Current Conveyor (CCII+) is presented. Method: Master/Slave coupling between two Chua��?s oscillators for state v1, v2, v3, and v4 is easily achievable with just two resistors and one-second current conveyors. As stated earlier, there is an alternative construction for the main block of Chau��?s circuit model in Simulink. It is constructed by using gain block, absolute blocks, adding, and constant blocks. System state variables v1, v2 andiLare represented at the output of integrator blocks. A Simulink model for Chau��?s circuit with the piecewiselinear nonlinear function. The circuit is realized by differential (voltage to current) pairs feeding two capacitors, which carry the dynamics, with the key component being a (voltage to current) binary hysteresis circuit due to Linares. Chau��?s oscillator realized with the commercially available positivetype second-generation Current Conveyor (CCII+) is included in the TL802 or AD844 device. Result: Simulated results for two synthetic values of inductance L1=18mH and L2=10 mH are presented. It can be monitored as timedomain response and v1- v2 phase portrait illustrations in SIMULINK. Chua��?s circuit may work in equilibrium region, period-n limit region, chaotic region or saturation region. In the synchronization of Chua��?s circuit, the synchronization behavior is more sensitive to R0 mismatch than L and C mismatch, as it decides the chaotic behaviour of the circuit. In sound synthesis application, interesting sounds are synthesized with Chua��?s circuit. Application: The proposed circuits find applications in many areas such as secure communication, medical field, fractal theory, and Sound synthesis.