By the idea of comparison principle, we first introduce novel explicit criteria for $ \varrho $-stability general linear non-autonomous functional differential equations with infinite delay. Some characterizations time-independent exponential stability are also investigated. We then present a sufficient condition subject to time-varying structured perturbations. These results lead applications ...

We propose a novel mechanism for the origin of non-Gaussian tails in the probability distribution functions (PDFs) of local variables in nonlinear, diffusive, dynamical systems including passive scalars advected by chaotic velocity fields. Intermittent fluctuations on appropriate time scales in the amplitude of the (chaotic) noise can lead to exponential tails. We provide numerical evidence for...

This article analyzes a supply chain management system (SCM), with two echelons. We consider a perishable inventory with Poisson demand, exponential life time and positive lead time at distribution center (DC) and retailer. Partial backlogging at retailer node is assumed with limited quantity. (s, S) policy at retailer and (M-1, M) policy at DC are assumed to get a tractable analytic solution. ...

Geometric Brownian motion (GBM) is a model for systems as varied as financial instruments and populations. The statistical properties of GBM are complicated by nonergodicity, which can lead to ensemble averages exhibiting exponential growth while any individual trajectory collapses according to its time average. A common tactic for bringing time averages closer to ensemble averages is diversifi...

It is shown that diffusion and stochastic ionization of an optically excited Rydberg electron are generic long time phenomena which are consequences of the destruction of quantum coherence by laser fluctuations. Quantitatively these novel fluctuation-induced phenomena are characterized by non-exponential time evolutions whose power law dependences can be determined analytically. It is demonstra...

In this paper, we apply continuous review (S-1, S) policy for inventory control in a three-echelon supply chain (SC) including r identical retailers, a central warehouse with limited storage space, and two independent manufacturing plants which offer two kinds of product to the customer. The warehouse of the model follows (M/M/1) queue model where customer demands follow a Poisson probabilit...

Since 2000 the Institute of Methodologies for the Environmental Analysis (National Council of Research, Tito, Italy) installed a geophysical monitoring network able to detect geoelectric, geochemic and seismometric parameters in seismic areas of southern Italy. During this period a very large data-base of geophysical time series has been organized and it is actually available to assess robust s...