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Browsing CAIM - 2018 by Issue Date

Browsing CAIM - 2018 by Issue Date

Now showing items 1-20 of 115

Configurations of invariant lines of total multiplicity 7 of cubic systems with four real distinct infinite singularities

BUJAC, Cristina; SCHLOMIUK, Dana; VULPE, Nicolae (Bons Offices, 2018)

Our main goal is to classify the family of cubic systems according to their geometric properties encoded in the configurations of invariant straight lines of total multiplicity seven (including the line at infinity with ...
The sufficient center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree

CALIN, Iurie; CIUBOTARU, Stanislav (Bons Offices, 2018)

In this paper we consider the class of systems (1) (or (2)) with the conditions I3 = 0, I1 =0, I2 > 0. The conditions I1 = 0, I2 > 0 mean that the eigenvalues of the Jacobian matrix at the singular point (0, 0) are pure ...
A rational basis of GL (2, R )-comitants for the bidimensional polynomial system of differential equations of the fifth degree

CALIN, Iurie; ORLOV, Victor (Bons Offices, 2018)

Definition 1. The set S of the comitants is called a rational basis on M ⊆ A of the comitants for the system with respect to the group GL(2, R) if any comitant of the system (1) with respect to the group GL(2, R) can be ...
Averaging Method in Multifrequency Systems with Delay and Nonlocal Conditions

BIHUN, Yaroslav; PETRYSHYN, Roman; KRASNOKUTSKA, Inessa (Bons Offices, 2018)

The complexity of the research of the problem is the existence of resonances. Resonance condition in point τ ∈ [0, L] is q Xν =1 θ ν(kν, ω(θντ)) = 0, kν ∈ Rm, IkI 6= 0. Averaging in system (1) is carried out on fast variables ...
Topological configurations of singularities for quadratic differential systems

ARTES, Joan C.; LLIBRE, Jaume; SCHLOMIUK, Dana; VULPE, Nicolae (Bons Offices, 2018)

In this paper we extract the local topological information around all singularities from the 1879 geometric equivalence classes. We prove that there are exactly 208 topologically distinct global topological configurations ...
Recent developments on numerical solutions for hyperbolic systems of conservation laws

JELTSCH, Rolf (Bons Offices, 2018)

In 1757 Euler developed the famous Euler equations describing the ow of a compressible gas. This is a system of hyperbolic conservation laws in three space dimensions. However until recently one could not show convergence ...
The sufficient center conditions for some classes of bidimensional cubic differential systems

CALIN, Iurie; BALTAG, Valeriu (Bons Offices, 2018)

The definition of the transvectant of two polynomials is well known in the classical invariant theory. By using the transvectants for the system (1) the following GL(2, R)-invariants were constructed.
Minimal polynomial basis of GL (2, R )-comitants and of GL (2, R )-invariants of the planar system of differential equations with nonlinearities of the fourth degree

CIUBOTARU, Stanislav; CALIN, Iurie (Bons Offices, 2018)

The theory of algebraic invariants and comitants for polynomial autonomous systems of differential equations has been developed by C. Sibirschi and his disciples. One of the important problems concerning this theory is the ...
Positive Solutions for a System of Riemann-Liouville Fractional Differential Equations with Multi-Point Fractional Boundary Conditions

TUDORACHE, Rodica Luca (Bons Offices, 2018)

We study the system of nonlinear ordinary fractional differential equations with the multi-point boundary conditions which contain fractional derivatives. Under some assumptions on the functions f, g and h, we give intervals ...
Canonical forms for cubic differential systems with affine real invariant straight lines of total parallel multiplicity six and configurations (2(m), 2(n), 1, 1)

PUȚUNTICĂ, Vitalie (Bons Offices, 2018)

The classification of all cubic systems with the maximum number of invariant straight lines, including the line at infinity, and taking into account their geometric multiplicities, is given in [1], [4], [5]. The cubic ...
Boolean asynchronous systems: the concept of attractor

VLAD, Serban E. (Bons Offices, 2018)

The Boolean asynchronous systems are systems generated by the functions Φ : {0, 1}n −→{0, 1}n which iterate their coordinates independently on each other. Our purpose is to introduce their attractors by analogy with the ...
Intervals of linear stability of geometrical parameters in the restricted eight bodies problem with incomplete symmetry

CEBOTARU, Elena (Bons Offices, 2018)

We consider the Newtonian restricted eight bodies problem with incomplete symmetry. We investigate the linear stability of this configuration by some numerical methods. For geometric parameter intervals of stability and ...
Invariant conditions of stability of unperturbed motion described by cubic differential system with quadratic part of Darboux type

NEAGU, Natalia; ORLOV, Victor; POPA, Mihail (Bons Offices, 2018)

In the center-affine invariant conditions of stability of unperturbed motion, described by critical two-dimensional differential systems with quadratic nonlinearities s(1, 2), cubic nonlinearities s(1, 3) and fourth-order ...
The comitants of Lyapunov system with respect to the rotation group and applications

PRICOP, Victor (Bons Offices, 2018)

We investigate the action of the rotation group SO(2, R) on the system. Following analogically were defined the comitants of differential systems with respect to the rotation group. The Lie operator of the representation ...
Modeling the error ratio in digital optical communications

BĂLUȚĂ, Alexandra; ROTARU, Diana; ILIE, Mihaela; FĂLIE, D.; VASILE, Eugen (Bons Offices, 2018)

The paper examines the errors of the transmitted bits or qubits which are conditioned by different random optoelectronic noises which are mathematically modeled to be appropriate to different physical phenomenon. In the ...
Overview of Nonlinear Partial Differential Equation-based Structural Inpainting Techniques

BARBU, Tudor (Bons Offices, 2018)

Image interpolation, known also as inpainting or completion, represents the process of recovering the missing or highly deteriorated regions of the image, as plausibly as possible, by using the information achieved from ...
Mathematical modeling at the junction of idea transformation into industrial products

BOSTAN, Viorel; BOSTAN, Ion; VACULENCO, Maxim (Bons Offices, 2018)

The article presents the ways of transforming innovative ideas into industrial products with distinct functionalities based on the application of mathematical models and modern numerical methods. The mathematical modeling ...
Elaboration of calculation model for dynamic simulation of a vertical axis wind turbine rotor

BOSTAN, Viorel; GUȚU, M.; RABEI, I. (Bons Offices, 2018)

This paper describes the steps of elaboration of calculation model for dynamic simulation of a small vertical axis wind turbine rotor. The calculation model is based on the finite element analysis ANSYS CFX software. The ...
Elaboration of calculation model for precessional gearing

BOSTAN, Ion; DULGHERU, Valeriu; VACULENCO, Maxim (Bons Offices, 2018)

The paper presents the CAD (Autodesk Inventor) modelling and CAE simulation of precessional drives capable of high transmission ratio and torque for one stage compact construction. The simulations of the drives provide ...
The national e-Infrastructure RENAM for the development of high-performance computing and information technologies

TIGHINEANU, Ion; BOGATENCOV, Petru; SECRIERU, Grigore (Bons Offices, 2018)

Over the past several years the dependence of research and education on access to high-speed networking infrastructures, to large-scale computing and other e-Infrastructures’ services is rapidly increasing. The use of ...

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