Stability of coupled map networks with delays

Fatihcan M. Atay, and Özkan Karabacak
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Submission date: 27. Feb. 2006
published in: SIAM journal on applied dynamical systems, 5 (2006) 3, p. 508-527 
DOI number (of the published article): 10.1137/060652531
MSC-Numbers: 39A11, 37E05, 94C15
Keywords and phrases: Network, delay, stability, synchronization, chaos, laplacian

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.