A comparative dynamical analysis of Hebrew texts.
A nonlinear two-species oscillatory system: bifurcation and stability analysis.
A p-adic behaviour of dynamical systems.
We study dynamical systems in the non-Archimedean number fields (i.e. fields with non-Archimedean valuation). The main results are obtained for the fields of p-adic numbers and complex p-adic numbers. Already the simplest p-adic dynamical systems have a very rich structure. There exist attractors, Siegel disks and cycles. There also appear new structures such as fuzzy cycles. A prime number p plays the role of parameter of a dynamical system. The behavior of the iterations depends on this parameter...
A pair hamiltonian model of a non-ideal Boson gas
Algèbres différentielles en théorie des champs
Les algèbres différentielles sont apparues comme des outils commodes ou même inévitables pour exprimer les symétries continues, exactes ou brisées, suivant la situation physique envisagée, dans le cadre de l’algorithme de Feynman de la théorie quantique des champs perturbative. Les algèbres de courants, les théories de Yang-Mills, la première quantification de la corde, sont proposées comme exemples classiques.
Basic Brane Mechanics
Calcul explicite des constantes de renormalisation pour des classes particulières de fonctions unimodales
Chaos and geometric order in architecture and design.
Chaotic time series analysis.
Collision Orbits in the Anisotropic Kepler Problem.
Control systems on semi-simple Lie groups and their homogeneous spaces
In the present paper, we consider the class of control systems which are induced by the action of a semi-simple Lie group on a manifold, and we give a sufficient condition which insures that such a system can be steered from any initial state to any final state by an admissible control. The class of systems considered contains, in particular, essentially all the bilinear systems. Our condition is semi-algebraic but unlike the celebrated Kalman criterion for linear systems, it is not necessary. In...
Controllability, applications, and numerical simulations of cellular neural networks.
Controllability of time-varying cellular neural networks.
Detection of variations of local irregularity of traffic under DDOS flood attack.
Determining the weights of a Fourier series neural network on the basis of the multidimensional discrete Fourier transform
This paper presents a method for training a Fourier series neural network on the basis of the multidimensional discrete Fourier transform. The proposed method is characterized by low computational complexity. The article shows how the method can be used for modelling dynamic systems.
Dynamic properties of cellular neural networks.
Dynamique des nombres et physique des oscillateurs
Nous présentons un modèle mathématique permettant de reproduire le spectre expérimental des fréquences dans un composant électronique appelé boucle ouverte. Le spectre semble s’organiser suivant une contrainte de nature diophantienne sur les fréquences. Sa structure peut donc se comprendre via une étude de l’ensemble des fractions continues en fonction de leur longueur et de la taille des quotients partiels.
Egorov theorems and equidistribution of eigenfunctions for the quantized sawtooth and Baker maps
Electromagnetic dynamical systems.
Estimates of topological entropy of continuous maps with applications.