We study transmission through locally periodic potentials in the framework of space-fractional quantum mechanics (SFQM). In particular, we calculate the transmission probabilities T(N) for a particle in a chain of N Dirac-δ barriers and, for the other case, a chain of N square barriers. We use...

We offer a new method to characterized cointegration properties of higher orders. This method relies on a very simple device. We first examine the question in a deterministic framework, where cointegration porperties pertains to rate of growth. We relate these properties to the structure of the...

There are roughly speaking the two extreme types of dynamical density functional theories: one is deterministic without noise and another is fully stochastic with noise. We attempt to interpolate these extreme limiting theories for general reduced description of time evolution by making use of a...

The stochastic resonance in an underdamped quartic double-well potential with time delayed feedback is studied numerically. The signal power amplification is employed to characterize the stochastic resonance of the system. Simulation results indicate that: (i) for moderate frequency of the...

By the method of eigenfunction expansion, we study the linear response to a time-dependent external field for stochastic systems described by the one-dimensional subdiffusive fractional Fokker–Planck equation with a general confining potential and natural boundary conditions; an expression for...

In the past decade, it has been recognized that noise can enhance the response of nonlinear systems to weak signals, via a mechanism known as stochastic resonance (SR). Particularly, the concept of SR has generated considerable interest in sensory biology, because it has been shown in several...

We investigate the resonance type behaviour of an overdamped Brownian particle in a bistable potential driven by external periodic signal. It has been shown previously that the input energy pumped into the system by the external drive shows resonance type behaviour as a function of noise...

An array of overdamped bistable oscillators with delay was studied numerically. Each site of the array is coupled directionally with the addition of white Gaussian noise. On the other hand, we compared the results with an array of coupled chain of experimental devices, also fed with Gaussian...

The roles of time delay on the coherence resonance are investigated in the intracellular calcium oscillation system described by the processes of active and passive transport of intracellular Ca2+ driven by colored noises. From the numerical simulation of the reciprocal coefficient of variance...

The stochastic resonance (SR) is studied in an overdamped linear system driven by multiplicative and additive noise when the additive noise is a linear combination of an asymmetric dichotomous noise and its square. The exact expressions are obtained for the first two moments and the correlation...