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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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.

Received:
Feb 9, 1999
Published:
Feb 9, 1999

Related publications

inBook
1999 Repository Open Access
Frank Pasemann

Synchronizing chaotic neuromodules

In: Proceedings 7th European Symposium on Artificial Neural Networks
Brussels : D-Facto, 1999. - pp. 1-6