Zobrazeno 1 - 10
of 1 119
pro vyhledávání: '"Osipov, P. V."'
Autor:
Osipov, Alexander V.
A topological space $X$ is Baire if the Baire Category Theorem holds for $X$, i.e., the intersection of any sequence of open dense subsets of $X$ is dense in $X$. One of the interesting problems in the theory of functional spaces is the characterizat
Externí odkaz:
http://arxiv.org/abs/2409.02913
Autor:
Osipov, Alexander V.
A space $X$ is sequentially separable if there is a countable $S\subset X$ such that every point of $X$ is the limit of a sequence of points from $S$. In 2004, N.V. Velichko defined and investigated concepts close to sequentially separability: $\sigm
Externí odkaz:
http://arxiv.org/abs/2406.03014
Autor:
Lipin, Anton E., Osipov, Alexander V.
We prove that for every normal topological space $X$ and any function $f: X \to \mathbb{R}$ there is a continuous function $g : X \to \mathbb{R}$ such that $$|f(x) - g(x)| \leq \frac{1}{2} \sup\limits_{p \in X} \inf\limits_{O(p)} \sup\limits_{a,b \in
Externí odkaz:
http://arxiv.org/abs/2403.04004
A space is called Dieudonn\'{e} complete if it is complete relative to the maximal uniform structure compatible with its topology. In this paper, we investigated when the function space $C(X,Y)$ of all continuous functions from a topological space $X
Externí odkaz:
http://arxiv.org/abs/2401.15923
Autor:
Osipov, Alexander V.
A topological space $X$ is called almost discrete, if it has precisely one nonisolated point. In this paper, we get that for a countable product $X=\prod X_i$ of almost discrete spaces $X_i$ the space $C_p(X)$ of continuous real-valued functions with
Externí odkaz:
http://arxiv.org/abs/2312.10724
Autor:
Bolotov, Maxim I., Munyayev, Vyacheslav O., Smirnov, Lev A., Osipov, Grigory V., Belykh, Igor
Cyclops states are intriguing cluster patterns observed in oscillator networks, including neuronal ensembles. The concept of cyclops states formed by two distinct, coherent clusters and a solitary oscillator was introduced in [Munyayev {\it et al.},
Externí odkaz:
http://arxiv.org/abs/2312.09831
The paper proposes two dynamical systems based on the generalized Lotka-Volterra model of three excitable elements interacting through excitatory couplings. It is shown that for some values of the coupling parameters in the phase space of systems, th
Externí odkaz:
http://arxiv.org/abs/2312.05142
Autor:
Varvarin, E. M., Osipov, G. V.
This article suggests ways to implement sequential, parallel and in the form of a given configuration of the movement of an ensemble (swarm) of mobile agents using the effect of chaotic phase synchronization. The possibility of controlling the moveme
Externí odkaz:
http://arxiv.org/abs/2312.06666
In this work, two-cluster modes are studied in a system of globally coupled Kuramoto-Sakaguchi phase oscillators with inertia. It is shown that these regimes can be of two types: with a constant intercluster phase difference rotating at the same freq
Externí odkaz:
http://arxiv.org/abs/2311.12172
Autor:
Osipov, Alexander V.
In this paper we get characterizations countable tightness, countable fan-tightness and countable strong fan-tightness of spaces of quasicontinuous functions with the topology of pointwise convergence from a open Whyburn $T_2$-space $X$ into the disc
Externí odkaz:
http://arxiv.org/abs/2311.07517