Search

MiS Preprint Repository

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
24/1999

Synchronous and asynchronous chaos in coupled neuromodules

Frank Pasemann

Abstract

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 Lyapunov exponents parallel and transversal to the synchronization manifold. Simulation results are presented for selected sets of parameters. It is observed that locally stable synchronous dynamics often co-exists with asynchronous periodic, quasiperiodic or even chaotic attractors.

Received:
May 4, 1999
Published:
May 4, 1999

Related publications

inJournal
1999 Repository Open Access
Frank Pasemann

Synchronous and asynchronous chaos in coupled neuromodules

In: International journal of bifurcation and chaos in applied sciences and engineering, 9 (1999) 10, pp. 1957-1968