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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
36/1999

Synchronized chaos in coupled neuromodules of different type

Frank Pasemann

Abstract

We discuss the time-discrete parametrized dynamics of two coupled recurrent neural networks. General conditions for the existence of synchronized dynamics are derived for these systems, and it is demonstrated that also the coupling of totally different network structures can result in periodic, quasiperiodic as well as chaotic dynamics constrained to a synchronization manifold M. Stability of the synchronized dynamics can be calculated by Lyapunov exponent techniques. In general, in addition to synchronized attractors there often co-exist asynchronous periodic, quasiperiodic and even chaotic attractors. Simulation results with respect to a minimal coupling scheme for neuromodules of different type are presented.

Received:
May 5, 1999
Published:
May 5, 1999

Related publications

inBook
1999 Repository Open Access
Frank Pasemann

Synchronized chaos in coupled neuromodules of different types

In: Proceedings of the International Joint Conference on Neural Networks : 1999 ; IJCNN '99. Vol. 1
Piscataway, NJ : IEEE Operations Center, 1999. - pp. 695-698