Stochastic differential equations (3rd ed.): an introduction with applications
Stochastic differential equations (3rd ed.): an introduction with applications
A proposed name for aperiodic brain activity: stochastic chaos
Neural Networks
A note on synchronization of diffusion
Mathematics and Computers in Simulation
Adaptive control and synchronization of a modified Chua's circuit system
Applied Mathematics and Computation
Adaptive control and synchronization of the perturbed Chua's system
Mathematics and Computers in Simulation
Original article: Adaptive-impulsive synchronization of chaotic systems
Mathematics and Computers in Simulation
Mathematics and Computers in Simulation
Chaos control and hybrid projective synchronization for a class of new chaotic systems
Computers & Mathematics with Applications
Original articles: Synchronization of coupled chaotic FitzHugh-Nagumo neurons via Lyapunov functions
Mathematics and Computers in Simulation
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Using the Lyapunov stability theory an adaptive control is proposed for chaos synchronization between two Chua systems which have stochastically time varying unknown coefficients. The stochastic variations of the coefficients around their unknown mean values are modeled through Gaussian white noise produced by the Wiener process. It is shown that using the proposed adaptive control the mean square of synchronization error converges to an arbitrarily small bound around zero depending on the controller feedback gain. Simulation results indicate that the proposed adaptive controller has a high performance in synchronization of chaotic Chua circuits in noisy environment.