The calculation of rate coefficients is a discipline of nonlinear science of importance to much
of physics, chemistry, engineering, and biology. Fifty years after Kramers' seminal paper on …

Many important processes in science involve the escape of a particle over a barrier. In this
review, we report, extend, and interpret various theories of noise-activated escape. We …

The book being reviewed is devoted to the rapidly develo** in recent years section of
nonlinear optics and applied quantum electronics—the selfactions and interactions of light …

By use of an adiabatic elimination procedure and a time scaling t^= τ− 1/2 t, where τ denotes
the correlation time of colored noise ɛ (t), one arrives at a novel colored-noise …

In this theoretical study, the response of an inductive power generator with a bistable
symmetric potential to stationary random environmental excitations is investigated. Both …

The connection between stochastic differential equations and associated Fokker-Planck
equations is elucidated by the full functional calculus. One-variable equations with either …

The phenomenon of stochastic resonance is studied in the presence of colored noise.
Several sources of colored noise are introduced and the consequences for the asymptotic …

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

We report the first observation of non-Markovian stochastic resonance (SR), and we
discover that memory effects in the nonlinearity extremely enlarge the SR bandwidth. Our …

Stochastic search processes are ubiquitous in nature and are expected to become more
efficient when equipped with a memory, where the searcher has been before. A natural …