Spatiotemporal dynamics in a dispersively coupled chain of nonlinear oscillators

David K. Umberger, Celso Grebogi, Edward Ott, and Bedros Afeyan
Phys. Rev. A 39, 4835 – Published 1 May 1989
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Abstract

A one-dimensional chain of forced nonlinear oscillators is investigated. This model exhibits typical behavior in periodically forced, spatially extended, nonlinear systems. At low driving amplitudes characteristic domainlike structure appears accompanied by simple asymptotic time dependence. Before reaching its final state, however, the chain behaves chaotically. The chaotic transients appear as intermittent bursts mainly concentrated at the domain walls. At higher driving, the chaotic transient becomes longer and longer until the time dependence apparently corresponds to sustained chaos with the chain state characterized by the absence of domainlike spatial structure.

  • Received 17 October 1988

DOI:https://doi.org/10.1103/PhysRevA.39.4835

©1989 American Physical Society

Authors & Affiliations

David K. Umberger, Celso Grebogi, Edward Ott, and Bedros Afeyan

  • Laboratory for Plasma Research, University of Maryland, College Park, Maryland 20742

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Issue

Vol. 39, Iss. 9 — May 1989

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