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MiS Preprint

Driving neuromodules into synchronous chaos

Frank Pasemann


We discuss the time-discrete parametrized dynamics of two neuromodules, which are coupled in a uni-directional way. General conditions for the existence of synchronized dynamics are derived for these systems. It is demonstrated that already the one-way couplings of 2-neuron modules can result in periodic, quasiperiodic as well as chaotic dynamics constrained to a synchronization manifold M. Stability of the synchronized dynamics is calculated by conditional Lyapunov exponents. In addition to synchronized attractors there often co-exist asynchronous periodic, quasiperiodic or even chaotic attractors.

Simulation results for selected sets of parameters are presented.

Mar 23, 1999
Mar 23, 1999

Related publications

1999 Repository Open Access
Frank Pasemann

Driving neuromodules into synchronous chaos

In: Foundations and tools for neural modeling / José Mira... (eds.)
Berlin : Springer, 1999. - pp. 377-384
(Lecture notes in computer science ; 1606)