TITLE:

COUPLING-INDUCED OSCILLATIONS IN OVERDAMPED BISTABLE SYSTEMS (No. 22)

DATE:

Friday, September 19th, 2003

TIME:

3:30 PM

LOCATION:

GMCS 214

SPEAKER:

Antonio Palacios, Department of Mathematics and Statistics, San Diego State University

ABSTRACT:

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 fluxgate magnetometer), a soft-potential mean-field description of the dynamics in a (hysteretic) single-domain ferromagnetic sample. Using a specific (uni-directional, with cyclic boundary conditions) coupling scheme, together with non-identical 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 ensueing oscillations could find utility in the detection of very weak “target” dc signals, via their effect on the oscillation characteristics.

HOST:

Jose Castillo

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