Resetting processes with noninstantaneous return

Diffusion with stochastic resetting.

We study simple diffusion where a particle stochastically resets to its initial position at a constant rate r. A finite resetting rate leads to a nonequilibrium stationary state with non-Gaussian fluctuations for the particle position. We also show that the mean time to find a stationary target by a diffusive searcher is finite and has a minimum value at an optimal resetting rate r*. Resetting ...

Predicting Synchronization with Strong Resetting

Introduction. Several complex behaviors and motor patterns generated by biological systems are the result of well coordinated and strongly interacting populations of neurons [1, 2]. For instance Central Pattern Generators are responsible for the maintenance of vital rhythms (circadian, circulatory, respiratory, etc) [3]. These systems have been successfully studied using interdisciplinary techn...

Discrete spectral incoherent solitons in nonlinear media with noninstantaneous response

Spectral dynamics of incoherent waves with a noninstantaneous nonlinear response.

We study the influence of a constant background noise on the dynamics of spectral incoherent solitons, which are incoherent structures sustained by a noninstantaneous (Raman-like) nonlinearity. As the level of the noise background increases, the incoherent wave enters a novel nonlinear regime characterized by oscillatory dynamics of the incoherent spectrum, which develop within a spectral cone ...

Determination of right/left return to scale in two-stage processes based on dual simplex

As a non-parametric method of relative efficient measurement of a group of decision-making units (〖DMU〗_s), Data Envelopment Analysis (DEA) is one of the most important tools in efficiency computation. One of the main concerns dealt with in DEA is dealing with return to scale in two-stage processes in which, produced outputs of the first stage inputs are used as inputs for the second stage. The...