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MiS Preprint
16/1999

Driving neuromodules into synchronous chaos

Frank Pasemann

Abstract

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.

Received:
23.03.1999
Published:
23.03.1999

Related publications

inBook
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)