Recently, we have shown the emergence of oscillations in overdamped undriven nonlinear dynamic systems subject to carefully crafted coupling schemes and operating conditions. Here, we summarize these results for a system of N = 3 coupled ferromagnetic cores, the underpinning of a "coupled-core fluxgate magnetometer"(CCFM); the oscillatory behaviour is triggered when the coupling constant exceeds a threshold value (bifurcation point), and the oscillation frequency exhibits a characteristic scaling behaviour with the "separation" of the coupling constant from its threshold value, as well as with an external "target" dc magnetic flux signal. We also present the first (numerical) results on the effects of a (gaussian, exponentially correlated) noise floor on the spectral properties of the system response, and extend our investigations to the large N case, wherein the noise is seen to mediate interesting spatio-temporal cooperative behavior.

Date Published: 24 December 2005
PDF: 11 pages
Proc. SPIE 6039, Complex Systems, 60390D (24 December 2005); doi: 10.1117/12.639403

Published in SPIE Proceedings Vol. 6039:
Complex Systems
Axel Bender, Editor(s)