Abstract
This paper discusses the design of active controllers for generalized projective synchronization (GPS) of identical Wang 3-scroll chaotic systems (Wang, 2009), identical Dadras 3-scroll chaotic systems (Dadras and Momeni, 2009) and non-identical Wang 3-scroll system and Dadras 3-scroll system. The synchronization results (GPS) derived in this paper for the 3-scroll chaotic systems have been derived using active control method and established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the active control method is very effective and convenient for achieving the generalized projective synchronization (GPS) of the 3-scroll chaotic systems addressed in this paper. Numerical simulations are provided to illustrate the effectiveness of the GPS synchronization results derived in this paper.
Highlights
Chaotic systems are nonlinear dynamical systems which are highly sensitive to initial conditions
A chaotic system simpler than the Lorenz system was proposed by Rössler ([3], 1976)
The parameters of the identical Dadras 3-scroll chaotic systems are chosen as p = 3, q = 2.7, r = 1.7, s = 2, ε = 9
Summary
Chaotic systems are nonlinear dynamical systems which are highly sensitive to initial conditions. We deploy active control method so as to derive new results for the generalized projective synchronization (GPS) for identical and different Wang 3-scroll systems and Dadras 3scroll chaotic systems. Using active nonlinear control and Lyapunov stability theory, we achieve generalized projective synchronization for identical Wang 3-scroll chaotic systems (Wang, [38], 2009), identical Dadras 3-scroll chaotic systems (Dadras and Momeni, [39], 2009) and non-identical Wang 3-scroll system and Dadras 3-scroll system.
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