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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
23/2006

Stability of coupled map networks with delays

Fatihcan M. Atay and Özkan Karabacak

Abstract

We consider networks of coupled scalar maps, with weighted connections which may include a time delay, and study the stability of equilibria with respect to the delays and connection structure.

Received:
Feb 27, 2006
Published:
Feb 27, 2006
MSC Codes:
39A11, 37E05, 94C15
Keywords:
Network, delay, stability, synchronization, chaos, Laplacian

Related publications

inJournal
2006 Repository Open Access
Fatihcan M. Atay and Özkan Karabacak

Stability of coupled map networks with delays

In: SIAM journal on applied dynamical systems, 5 (2006) 3, pp. 508-527