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Phys. Rev. A 45, 3467–3470 (1992)

Nonlinear dynamics of a breakable chain at threshold

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Kurt Wiesenfeld
School of Physics, Georgia Tech, Atlanta, Georgia 30332

Mark Sherwin
Physics Department and Center for Nonlinear Science, University of California, Santa Barbara, California, 93106

Received 16 September 1991; published in the issue dated March 1992

The dynamics of a chain of N oscillators with one end fixed–a model originally invoked to describe charge-density waves–is dominated by the coexistence of a large number of attractors. One of these attractors, the minimally stable state, plays a central role. We report analytic and numerical results for the case of N=2. The model exhibits polarization phenomena and bimodal distributions of depinning times like those seen in experiments on so-called switching samples. However, the model is at odds with experiments away from threshold.

© 1992 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.45.3467
DOI:
10.1103/PhysRevA.45.3467
PACS:
05.40.+j, 05.45.+b, 72.15.Nj, 72.70.+m