Coupling-Induced Oscillations in Overdamped Bistable Dynamic Systems

摘要

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.