Prebifurcation noise amplification and noise-dependent hysteresis as indicators of bifurcations in nonlinear geophysical systems

Prebifurcation noise amplification and noise-dependent hysteresis as indicators of bifurcations in nonlinear geophysical systems

The phenomena of prebifurcation noise amplification and noise-dependent hysteresis are studied as prospective indicators of bifurcations (“noisy precursor”) in nonlinear Geophysical systems. The phenomenon of prebifurcation noise amplification arises due to decreasing of damping coefficients just before bifurcation. A simple method for the estimation of the forced fluctuation variance is sugges...

Measuring Weak Noise on Basis of Nonlinear Saturation of Prebifurcation Noise Amplification and the Noise-Dependent Hysteresis

The phenomenon of prebifurcation noise amplification is proposed as a promising indicator of bifurcations (“noisy precursor”) in nonlinear processes in Geophysics. This phenomenon arises due to decreasing of damping coefficients just before bifurcation. A simple method for the estimation of the forced fluctuation variance is suggested which is based on results of linear theory up to the boundar...

Hysteresis , Avalanches , and Noise

systems, especially when the time needed to implement the algorithm is included, the scaling of time and memory with system size becomes crucial for larger simulations. In our studies of hysteresis and avalanches in the zerotemperature random-field Ising model, a simple model of magnetism, we often have had to do very large simulations. Previous simulations were usually limited to relatively sm...

Hysteresis, Avalanches, and Barkhausen Noise

Fluctuation growth and saturation in nonlinear oscillators on the threshold of bifurcation of spontaneous symmetry breaking.

We study prebifurcation fluctuation amplification in nonlinear oscillators subject to bifurcations of spontaneous symmetry breaking which are manifest in the doubling of stable equilibrium states. Our theoretical estimates of both the linear growth and the nonlinear saturation of the fluctuations are in good agreement with our results from numerical simulations. We show that in the saturation m...