Abstract

In this paper three methods for chaotic synchronization, based on the known linear-nonlinear decomposition method, are proposed. The main advantage of this kind of decomposition is that the stability analysis of the synchronization scheme can be done by a linear error system, so there is no need to calculate the conditional Lyapunov exponents or to design Lyapunov functions. The new aspect of the proposed approaches is, that in contrast to the standard linear-nonlinear decomposition method, strict rules to design the system couplings with many different combinations of additional decomposition of the linear part of the system or with additional feedback coupling are defined.