Driving Neuromodules into Synchronous Chaos

Driving Neuromodules into Syn hronous Chaos

Synchronous and Asynchronous Chaos in Coupled Neuromodules

The parametrized time-discrete dynamics of two recurrently coupled neuromodules is studied analytically and by computer simulations. Conditions for the existence of synchronized dynamics are derived and periodic as well as quasiperiodic and chaotic attractors constrained to a synchronization manifold M are observed. Stability properties of the synchronized dynamics is discussed by using Lyapuno...

Synchronizing chaotic neuromodules

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 o...

Ff Ur Mathematik in Den Naturwissenschaften Leipzig Synchronized Chaos in Coupled Neuromodules of Diierent Type Synchronized Chaos in Coupled Neuromodules of Diierent Type

We discuss the time discrete parametrized dynamics of two coupled re current neural networks General conditions for the existence of synchro nized dynamics are derived for these systems and it is demonstrated that also the coupling of totally di erent network structures can result in peri odic quasiperiodic as well as chaotic dynamics constrained to a synchro nization manifoldM Stability of the...

F Ur Mathematik in Den Naturwissenschaften Leipzig Structure and Dynamics of Recurrent Neuromodules Structure and Dynamics of Recurrent Neuromodules

The article calls attention to complex dynamical phenomena in artiicial neural systems, which areas is asserted-of relevance also for understanding biological brain functions. Examples of various dynamical eeects (hys-teresis, oscillations, deterministic chaos, synchronization and coherence) are discussed in terms of the discrete dynamics of small recurrent networks. The relevance of a dynamica...