Nanomechanics has brought mesoscopic physics into the world of vibrations. Because
nanomechanical systems are small, fluctuations are significant, the vibrations already …

Stationary nonequilibrium states describe steady flows through macroscopic systems.
Although they represent the simplest generalization of equilibrium states, they exhibit a …

The physics of non-equilibrium many-body systems is a rapidly expanding area of
theoretical physics. Traditionally employed in laser physics and superconducting kinetics …

In the small noise regime, the average transition time between metastable states of a
reversible diffusion process is described at the logarithmic scale by Arrhenius' law. The …

Consider a two-dimensional continuous-time dynamical system, with an attracting fixed point
S. If the deterministic dynamics are perturbed by white noise (random perturbations) of …

We outline the historical development of stochastic resonance (SR), a phenomenon in which
the signal and/or the signal-to-noise ratio in a nonlinear system increase with increasing …

The design of analogue electronic experiments to investigate phenomena in nonlinear
dynamics, especially stochastic phenomena, is described in practical terms. The advantages …

We consider two-dimensional overdamped double-well systems perturbed by white noise. In
the weak-noise limit the most probable fluctuational path leading from either point attractor to …

Fluctuations around some average or equilibrium state arise universally in physical systems.
Large fluctuations—fluctuations that are much larger than average—occur only rarely but …

We analyze the rates of noise-induced transitions between period-two attractors. The model
investigated is an underdamped oscillator parametrically driven by a field at nearly twice the …