We present and discuss the padé z-transform method for the identification of a transfer function model; an application is given with the geometric lag model, the ratios of which can be real and/or complex numbers. The method consists first in considering the z-transform of the transfer function...

The general purpose of this paper is to develop a linear response formalism for stochastic multiperiodic systems; these systems being obtained by letting some stochastic perturbation act on deterministic multiperiodic systems. Such a formalism is then applied to the absorption coefficient of the...

We discuss the conditions under which a generalized Brownian motion exhibits symmetry with respect to time reversal. We show that such a property is closely related to a property we call ‘radiative balance’, which implies the existence of a state in which both the mechanical system and the...

Recently it has been proposed a modification of the Wigner function which consists in smoothing it by convolution with a phase-space gaussian function; this smoothed Wigner function is non-negative if the gaussian parameters Δ and δ satisfy the condition Δδ ⩾ ħ. We analyze in this paper...

The paper studies a behavioral learning process where an agent plays, at each period, an action with a probability which is proportional to the cumulative utility he got in the past with that action. The so-called CPR learning rule and the dynamic process it induces are formally stated and...