Robustness of symbolic dynamics

In this paper we introduce the method for investigation of coupled chaotic systems using topological methods. We show that if the coupling is small then there exists independent symbolic dynamics for every coupled subsystem and in consequence the systems are not synchronized. As an example we consider coupled H enon maps. Using computer interval arithmetic we nd parameter mismatch and perturbation range for which the symbolic dynamics in the H enon system is sustained. For coupled H enon maps we compute the value of coupling strength for which the symbolic dynamics in every subsystem survives.