Phys. Rev. E 68, 045102(R) (2003) [4 pages]Coupling-induced oscillations in overdamped bistable systemsSee Also: Erratum
It is well known that overdamped and unforced dynamical systems do not oscillate. However, well-designed coupling schemes, together with the appropriate choice of initial conditions, can induce oscillations when a control parameter exceeds a threshold value. We demonstrate this effect in a specific system, a soft-potential mean-field description of the dynamics in a (hysteretic) single-domain ferromagnetic sample. Using a specific (unidirectional, with cyclic boundary conditions) coupling scheme, together with nonidentical initial conditions, one can cause the coupled system of N elements (N odd) to oscillate when the coupling coefficient is swept through a critical value. The ensuing oscillations could find utility in the detection of very weak “target” signals, via their effect on the oscillation characteristics. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.68.045102
DOI:
10.1103/PhysRevE.68.045102
PACS:
02.50.Ey, 05.10.Gg, 05.40.-a, 85.70.Ay
See AlsoErratum: Visarath In, Adi R. Bulsara, Antonio Palacios, Patrick Longhini, Andy Kho, and Joseph D. Neff, Erratum: Coupling-induced oscillations in overdamped bistable systems [Phys. Rev. E 68, 045102 (2003)], Phys. Rev. E 80, 069902 (2009). |
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