Results 21 to 30 of about 4,628 (266)

On the integrable deformations of a system related to the motion of two vortices in an ideal incompressible fluid [PDF]

ITM Web of Conferences, 2019
Altering the first integrals of an integrable system integrable deformations of the given system are obtained. These integrable deformations are also integrable systems, and they generalize the initial system.
Lăzureanu Cristian, Hedrea Ciprian, Petrişor Camelia   +2 more
doaj   +1 more source

Twistor Actions for Integrable Systems

Journal of High Energy Physics, 2021
Many integrable systems can be reformulated as holomorphic vector bundles on twistor space. This is a powerful organizing principle in the theory of integrable systems.
Robert F. Penna
doaj   +1 more source

Discrete traveling waves in a Toda’s relay chain

Partial Differential Equations in Applied Mathematics
A relay version of the Toda’s chain is considered. For a system of m+1 identical oscillators connected in a ring, the applicability of the method of constructing periodic solutions in the form of discrete traveling waves is investigated.
A.A. Kutuzova, M.M. Preobrazhenskaia, A.S. Tokmachev   +2 more
doaj   +1 more source

Averaging method for problems on quasiclassical asymptotics

Современная математика: Фундаментальные направления
The averaging method is developed for operators with rapidly oscillating coefficients, intended for use in problems of quasiclassical asymptotics and not assuming a periodic structure of coefficient oscillations.
S. Yu. Dobrokhotov, V. E. Nazaikinskii
doaj   +1 more source

On matrix Lax representations and constructions of Miura-type transformations for differential–difference equations

Partial Differential Equations in Applied Mathematics
This paper is part of a research project on relations between differential–difference matrix Lax representations (MLRs) with the action of gauge transformations and discrete Miura-type transformations (MTs) for (nonlinear) integrable differential ...
Evgeny Chistov, Sergei Igonin
doaj   +1 more source

Degenerately Integrable Systems [PDF]

Journal of Mathematical Sciences, 2016
The subject of this paper is degenerate integrability in Hamiltonian mechanics. It starts with a short survey of degenerate integrability. The first section contains basic notions. It is followed by a number of examples which include the Kepler system, Casimir models, spin Calogero models, spin Ruijsenaars models, and integrable models on symplectic ...
openaire   +3 more sources

Asymptotic approximation of fading mode in neurooscillator dynamics

Partial Differential Equations in Applied Mathematics
We consider a system consisting of two delay differential equations with a large parameter, modeling the association of a pair of neurooscillators. The unknown functions describe the changes in the normalized membrane potentials of neurons over time ...
M.M. Preobrazhenskaia, V.K. Zelenova
doaj   +1 more source

Overview of the Kadomtsev–Petviashvili-hierarchy reduction method for solitons

Partial Differential Equations in Applied Mathematics, 2022
The Kadomtsev–Petviashvili (KP) hierarchy reduction method is a prominent direct method for deriving explicit solutions to integrable equations. This method is based on Hirota’s bilinear formulation of integrable systems, as well as the observation that ...
Bo Yang, Jianke Yang
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Dynamics of the system of delay differential equations with nonlinearity having a simple behavior at infinity

Partial Differential Equations in Applied Mathematics
In this paper, we study the dynamics of a system of nonlinear differential equations with delay. We find stable equilibrium states and regions of attraction to them in the phase space of the system, as well as stable and unstable homogeneous and ...
A.A. Kashchenko, I.S. Luzin
doaj   +1 more source

An Effective Algorithm for Collision Resolution in Security Policy Rules

Моделирование и анализ информационных систем, 2019
A firewall is the main classic tool for monitoring and managing the network traffic on a local network. Its task is to compare the network traffic passing through it with the established security rules.
Sergey V. Morzhov, Valeriy A. Sokolov
doaj   +1 more source