We analyse an extended version of the dynamical mean-field Ising model. Instead of classical physical representation of spins and external magnetic field, the model describes traders' opinion dynamics. The external field is endogenised to represent a smoothed moving average of the past state...

The article offers a "conceptual carcass" of the enterprise model, which is based on known results of studies in sociology, biology, system theory and mathematics. The article lists main features of growth of main indicators of economic activity and development of an enterprise. Dynamics of...

В статье предложен «концептуальный каркас» модели предприятия, который базируется на известных положениях социологии, биологии, теории систем и математики....

The hedge fund represents a unique investment opportunity for the institutional and private investors in the diffusion-type financial systems. The main objective of this condensed article is to research the hedge fund’s optimal investment portfolio strategies selection in the global capital...

This paper examines surface-induced ordering in confined binary alloys. The hyperbolic initial boundary value problem (IBVP) is used to describe a scenario of spatiotemporal ordering in a disordered phase for concentration of one component of binary alloy and order parameter with non-linear...

In the Trade Cycle, Hicks introduced the idea that endogenous fluctuations could be coupled with a growth process via nonlinear processes. To argue for this hypothesis, Hicks used a piecewise-linear model. This paper shows the need for a reinterpretation of Hicks’ contribution in the light of...

We investigate several properties of the fractional iterative map with two control parameters of β and γ in the range of the fractional value 1⩽η⩽2. The relation between the control parameter γ∞ at an infinite sequence of period-doubling bifurcations and the fractional value η is...