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MiS Preprint
13/1999
Synchronizing chaotic neuromodules
Frank Pasemann
Abstract
We discuss the time-discrete parametrized synchronous dynamics of two coupled chaotic neuromodules. The symmetrical coupling of identical 2-neuron modules results in periodic, quasiperiodic as well as chaotic dynamics constrained to a synchronization manifold M. Stability of the synchonized dynamics is calculated by transversal Lyapunov exponents. In addition to synchronized attractors there often co-exist asynchronous periodic, quasiperiodic or even chaotic atractors. Simulation results for selected sets of parameters are presented.