Nonzero error synchronization of chaotic systems via dynamic coupling (Q1859834)

The authors study synchronization effects of dynamic feedback coupling in the system of two coupled autonomous ordinary differential equations. For example, in the unidirectionally coupled system \(x'=f(x)\), \(y'=g(y)-K(y-x)\), the coupling matrix can be dynamically chosen in every point \(K=K(x,y)\) in order to achieve minimal (or given fixed) error of complete synchronization. Examples of coupled Rössler and Lorenz systems are considered numerically.