Abstract
This work investigates modified function projective synchronization between two different hyperchaotic dynamical systems, namely, hyperchaotic Lorenz system and hyperchaotic Chen system with fully unknown parameters. Based on Lyapunov stability theory, the adaptive control law and the parameter update law are derived to achieve modified function projective synchronized between two diffierent hyperchaotic dynamical systems. Numerical simulations are presented to demonstrate the effectiveness of the proposed adaptive controllers.
Highlights
During the last three decades, synchronization of chaotic systems has attracted increasing attention from scientists and engineers and has been explored intensively both theoretically and experimentally
Since Pecora and Carrol 1 introduced a method to synchronize two identical systems with different initial conditions, many approaches have been proposed for the synchronization of chaotic or hyperchaotic systems such as complete synchronization 1, phase synchronization 2, generalized synchronization 3, lag synchronization 4, intermittent lag synchronization 5, time-scale synchronization 6, intermittent generalized synchronization 7, projective synchronization 8, modified projective synchronization 9, 10, and function projective synchronization 11, 12
We investigate modified function projective synchronization Modified Function Projective Synchronization (MFPS) between hyperchaotic Lorenz system and hyperchaotic Chen system with fully unknown parameters
Summary
During the last three decades, synchronization of chaotic systems has attracted increasing attention from scientists and engineers and has been explored intensively both theoretically and experimentally. Since Pecora and Carrol 1 introduced a method to synchronize two identical systems with different initial conditions, many approaches have been proposed for the synchronization of chaotic or hyperchaotic systems such as complete synchronization 1 , phase synchronization 2 , generalized synchronization 3 , lag synchronization 4 , intermittent lag synchronization 5 , time-scale synchronization 6 , intermittent generalized synchronization 7 , projective synchronization 8 , modified projective synchronization 9, 10 , and function projective synchronization 11, 12. Most of them are based on exactly knowing the system structure and parameters, but in practice, some or all of the system’s parameters are unknown. These parameters change from time to time.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
