Synchronization of lai-chen (2016) chaotic system with active control

Most of the events in the real world show non-linear behavior. Such events are usually chaotic. Chaotic systems are highly sensitive to the initial conditions and parameters values, exhibit non-periodic properties, and some have a very broad frequency spectrum. Because of these features, chaotic systems are used in different branches of science such as encryption, communication, random number generators, prediction algorithms, computer games, biology, medicine. In this regard, a variety of chaotic and hyper-chaotic systems are introduced in the literature. However, because of chaotic systems are very sensitive to initial conditions and parameters, chaotic systems need to be synchronized in order to be used in chaos-based communication and encryption applications. In this study, a new chaotic system presented by Lai and Chen in 2016 was synchronized with active control method. Consequently, it is shown that the Lai-Chen chaotic system can be synchronized and used in chaos-based communication and encryption applications

Finite-Time Synchronization of the Rabinovich and Rabinovich-Fabrikant Chaotic Systems for Different Evolvable Parameters

This paper addresses the challenge of synchronizing the dynamics of two distinct 3D chaotic systems, specifically the Rabinovich and Rabinovich-Fabrikant systems, employing a finite-time synchronization approach. These chaotic systems exhibit diverse characteristics and evolving chaotic attractors, influenced by specific parameters and initial conditions. Our proposed low-cost finite-time synchronization method leverages the signum function's tracking properties to facilitate controlled coupling within a finite time frame. The design of finite-time control laws is rooted in Lyapunov stability criteria and lemmas. Numerical experiments conducted within the MATLAB simulation environment demonstrate the successful asymptotic synchronization of the master and slave systems within finite time. To assess the global robustness of our control scheme, we applied it across various system parameters and initial conditions. Remarkably, our results reveal consistent synchronization times and dynamics across these different scenarios. In summary, this study presents a finite-time synchronization solution for non-identical 3D chaotic systems, showcasing the potential for robust and reliable synchronization under varying conditions

Lag synchronization of switched neural networks via neural activation function and applications in image encryption

This paper investigates the problem of global exponential lag synchronization of a class of switched neural networks with time-varying delays via neural activation function and applications in image encryption. The controller is dependent on the output of the system in the case of packed circuits, since it is hard to measure the inner state of the circuits. Thus, it is critical to design the controller based on the neuron activation function. Comparing the results, in this paper, with the existing ones shows that we improve and generalize the results derived in the previous literature. Several examples are also given to illustrate the effectiveness and potential applications in image encryption