Complete synchronization in coupled neuromodules of different types

We discuss the parametrized dynamics of two coupled recurrent neutral netwo rks comprising either additive sigmoid neurons in discrete; time or biologi cally more plausible time-continuous leaky-integrate-and-fire cells. Genera l conditions for the existence of synchronized activity in such networks ap e given, which guarantee that corresponding neurons in both coupled sub-net works evolve synchronously. It is, in particular, demonstrated that even th e coupling of totally different network structures can result in complex dy namics constrained to a synchronization manifold M. For additive sigmoid ne urons the synchronized dynamics can be periodic, quasiperiodic as well as c haotic, and its stability can be determined by Lyapunov exponent techniques . For leaky-integrate-and-fire cells synchronized orbits are typically peri odic, often with an extremely long period duration. In addition to synchron ized attractors there often co-exist asynchronous periodic, quasiperiodic a nd even chaotic atrractors.