Regresar

Synchronization in a Class of Chaotic Systems

Abstract:

In this work, the synchronization problem of a master–slave system of autonomous ordinary differential equations (ODEs) is considered. Here, the systems are, chaotic with a non linearity represented by a piece-wise linear function, non-identical and linearly coupled. The idea behind our methodology for achieving synchronization is quite simple: we couple the systems with a linear function of the difference between the states and using a formal solution of the ODE governing the evolution of that difference, we determine the parameters of the coupling function that lead to a fixed-point solution close to zero. The scheme seems to be valid for a wide class of piecewise linear chaotic systems, or systems whose vector field can be approximated with this class of functions. This appears to be of practical use, because of the simplicity of the experimental implementation of such a systems.