Vol 14, No 2 (2007)
Articles
4-6 357
Abstract
We give the results of classification of all nonsplit homogeneous supermanifolds over the complex projective line whose retract is corresponding to a holomorphic vector bundle with a set (k1, k2,1,1), where k1 >= k2 >= 1. See [3] and [4] for more information about the complex supermanifolds theory.
7-11 427
Abstract
The properties of a polytope associated with the 3-satisfiability problem are investigated. Particularly, we prove that values of its vertice coordinates can be represented by fractions with arbitrarily large denominators.
12-16 402
Abstract
We consider sequences W of the period и over an alphabet consisting of l letters. It is required to determine unambiguously the sequence W picking out words which are not subwords of the sequence. For n G N we denote by Un the set of words и of length n, which are not powers (i.e. are not represented in form и = vk k > 1).
17-23 425
Abstract
The structure of SR-groups with dihedral Sylow 2-subgroup modulo Frattini subgroup is described. It is proved that if a group О is a non-supersolvable SR-group of order 2npm with dihedral Sylow 2-subgroup, p is Mersenne prime.
24-26 451
Abstract
We propose a model which demonstrates the process of nerve impulse conduction through the forked myeline axon.
27-29 408
Abstract
We analyze the periodical solution of a differential equation with delay describing the neuron-autogenerator dynamics. The stability of the periodical solution of the equation with certain param¬eters is investigated.
30-35 425
Abstract
A new model of the neuron cell - the generalized automatic neuron (GAN) - is considered. This model has a universal character. It combines the properties of neuron-oscillator and neuron-detector. The neuron net is formed on the base of this GAN-detector. One of possible oscillatory regimes is investigated, and its stability is proved.
36-39 417
Abstract
The difference-differential equation with variable delay which describes an impulse neuron model is analyzed. The asymptotic expansion of solution of the equation constructed in the paper has the higher order in comparison with the result of the previous research.
40-43 425
Abstract
The concepts associated with the calculation of Euler's characteristics of images constructed on the basis of hexagonal lattices are considered. The necessary conditions for a sixteen-dimensional vector with non-negative integer components to be a characteristic set of some image are obtained.
44-46 457
Abstract
We consider a set of differential equations which describe the saltatory conduction of repeated impulses.
47-52 428
Abstract
We investigate local dynamics of a scalar delay differential equation in the vicinty of the zero solution. When an order parameter is close to the critical value, we use the normal forms method. An asymptotically large period cycle appears as the result of the codimension two bifurcation.
53-57 440
Abstract
A differential-difference equation arising at the description of dynamics of a population is considered. It is supposed that the parameters are chosen so that characteristic quasipolinom has two pairs of imaginary roots which are in resonance 1:2. The normal form of the equation, when the parameters are close to the critical values, is constructed. Phase reorganizations of a normal form under changes of parameters are studied.
58-62 421
Abstract
The local dynamic of the first-order differential equation with large delay is studied. The method of research is based on the normal forms theory. In critical cases having infinite dimensions, special evolutional equations playing the role of normal form are built. Different cases of correlation between the order of coefficient variance from critical values and order of delay are studied.
63-67 520
Abstract
The problem of constructing asymptotics for solutions of one class of difference equations as t -> +oo is studied.
75-82 449
Abstract
We describe the structure of a monodromy matrix of periodic solutions for relay systems that makes it possible to derive the general criterion for the orbital exponential stability of the cycle. The given theorem is used to develop an analog to the Andronov-Hopf bifurcation theorem.
ISSN 1818-1015 (Print)
ISSN 2313-5417 (Online)
ISSN 2313-5417 (Online)
