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Synchronized chaos in coupled neuromodules of different types

We discuss the time-discrete parametrized dynamics of two coupled recurrent neural networks. General conditions for the existence of synchronized dynamics are derived for these systems, and it is demonstrated that the coupling of totally different network structures can also result in periodic, quasi-periodic as well as chaotic dynamics constrained to a synchronization manifold. Stability of the synchronized dynamics can be calculated by Lyapunov exponent techniques. In general, in addition to synchronized attractors there often co-exist asynchronous periodic, quasi-periodic and even chaotic attractors. Simulation results with respect to a minimal coupling scheme for neuromodules of different type are presented.