Michail D. Todorov
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A Cloud-Based Approach to Modeling ERP Information Flows Using a Bivariate Pólya–Aeppli Process Open
Fast-growing technology and the development of IT services give the idea of founding a new application of stochastic processes and their properties. We give a new connection between electronic process management and a stochastic process na…
Group Classification and Numerical Study of Gross-Pitaevskii Systems Open
We carry out a preliminary group classification for the 3+1 Gross-Pitaevskii system and the complete group classification for the 1 + 1 integrable component of the Gross-Pitaevskii system. For the exceptional potentials that the group clas…
Hamiltonian approach to modelling interfacial internal waves over variable bottom Open
We study the effects of an uneven bottom on the internal wave propagation in the presence of stratification and underlying non-uniform currents. Thus, the presented models incorporate vorticity (wave–current interactions), geophysical effe…
High order ODE’s approximations for Goodwin’s business cycle model Open
We studied the possibility of describing both long-periodic solutions and short-periodic solutions for the Goodwin business cycle model with a continuously distributed investment lag using differential equations. It is shown that such equa…
AMiTaNS - Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences - Retrospection, Present and Future Open
The Euro-American Consortium for Promotion of the Application of Mathematics in Technical and Natural Sciences was founded in 2008 as a non-governmental non-profit organization in order to foster the scientific activity and informal intern…
On Asymptotic Dynamical Regimes of Manakov N-soliton Trains in Adiabatic Approximation Open
We analyze the dynamical behavior of the N-soliton train in the adiabatic approximation of the Manakov model. The evolution of Manakov N-soliton trains is described by the complex Toda chain (CTC) which is a completely integrable dynamical…
On Asymptotic Dynamical Regimes of Manakov $N$-soliton Trains in\n Adiabatic Approximation Open
We analyze the dynamical behavior of the $N$-soliton train in the adiabatic\napproximation of the Manakov model. %perturbed by gain/loss effects and also by\nseveral types of external potentials. The evolution of Manakov $N$-soliton\ntrain…
Which bug bugs you more? Microbiome competition and toxin interference Open
The last decade has seen a surge of interest in understanding the functional relationships between the elements that make up the diverse ecology of the gut microbiome. This ecological web includes bacteria, viruses, and microbes that enter…
Manakov model with gain/loss terms and $N$-soliton interactions: Effects of periodic potentials Open
We analyze the dynamical behavior of the N-soliton train in the adiabatic approximation of the perturbed nonlinear Schrodinger (NLS) equation and the Manakov model. The perturbations include the simultaneous by a periodic external potentia…
Hamiltonian models for the propagation of irrotational surface gravity waves over a variable bottom Open
A single incompressible, inviscid, irrotational fluid medium bounded by a free surface and varying bottom is considered. The Hamiltonian of the system is expressed in terms of the so-called Dirichlet–Neumann operators. The equations for th…
N-soliton interactions: Effects of linear and nonlinear gain and loss Open
We analyze the dynamical behavior of the N-soliton train in the adiabatic approximation of the nonlinear Schrödinger equation perturbed simultaneously by linear and nonlinear gain/loss terms. We derive the corresponding perturbed complex T…
The dynamics of two linearly coupled Goodwin oscillators Open
In this paper the Puu model of the interaction of Goodwin's business cycles for two regions is reconsidered. We investigated the effect of the accelerator coefficients and the Hicksian 'ceiling' and 'floor' parameters on the time dynamics …
On a Method for Solving of Multidimensional Equations of Mathematical Physics Open
We consider linear multidimensional evolutionary equations or the linear part of nonlinear ones. The complex structure and the presence of terms with different physical sense requires the coordinate splitting to be preceded by splitting by…