Results 11 to 20 of about 37,717 (312)
Karpatsʹkì Matematičnì Publìkacìï, 2020 There are studied Lie-algebraic structures of a wide class of heavenly type non-linear integrable equations, related with coadjoint flows on the adjoint space to a loop vector field Lie algebra on the torus.
O.Ye. Hentosh +2 more
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Sections of Hamiltonian Systems [PDF]
Regular and Chaotic Dynamics, 2021 A section of a Hamiltonian system is a hypersurface in the phase space of the system, usually representing a set of one-sided constraints (e.g. a boundary, an obstacle or a set of admissible states). In this paper we give local classification results for all typical singularities of sections of regular (non-singular) Hamiltonian systems, a problem ...
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Soundscape Recognition: Explorations and Frontiers of Acoustic Scene Classification in the Digital Era [PDF]
Jisuanji gongchengAcoustic Scene Classification (ASC) aims to enable computers to simulate the human auditory system in the task of recognizing various acoustic environments, which is a challenging task in the field of computer audition.
PANG Xin, GE Fengpei, LI Yanling
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Finding the closed-form solutions of dissipative oscillatory systems
Scientific Reports, 2022 This paper shows how to use the approximate Hamiltonian approach for the non-conservative system not capable of possessing Hamiltonian. Using the approximate Hamiltonian method for a non-conservative system is not possible in general. We propose a way to
Saba Irum, Imran Naeem
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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 +2 more
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AIMS Mathematics, 2023 In the present paper, we focus on the reducibility of an almost-periodic linear Hamiltonian system $ \frac{dX}{dt} = J[A+\varepsilon Q(t)]X, X\in \mathbb{R}^{2d} , $ where $ J $ is an anti-symmetric symplectic matrix, $ A $ is a symmetric matrix, $
Muhammad Afzal +5 more
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Hamiltonian systems with boundaries [PDF]
Journal of High Energy Physics, 2000 Lately, to provide a solid ground for quantization of the open string theory with a constant B-field, it has been proposed to treat the boundary conditions as hamiltonian constraints. It seems that this proposal is quite general and should be applicable to a wide range of models defined on manifolds with boundaries.
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Orbital stability of periodic standing waves of the coupled Klein-Gordon-Zakharov equations
AIMS Mathematics, 2023 This paper investigates the orbital stability of periodic standing waves for the following coupled Klein-Gordon-Zakharov equations $ \begin{equation*} \left\{ \begin{aligned} &u_{tt}-u_{xx}+u+\alpha uv+\beta|u|^{2}u = 0, \ &v_{tt}-v_{xx} =
Qiuying Li +2 more
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Conformal Hamiltonian systems [PDF]
Journal of Geometry and Physics, 2001 Conservative mechanical systems are described by solutions to Hamilton's equations. The diffeomorphisms which make up the flow of the system have the property that they preserve the symplectic form of the phase space. When dissipative forces such as friction are introduced, then the description is more complicated.
Robert I. McLachlan, Matthew Perlmutter
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The dynamics of the relativistic Kepler problem
Results in Physics, 2020 We deal with the Hamiltonian system (HS) associated to the Hamiltonian in polar coordinates H=12pr2+pϕ2r2-1r-∊2r2, where ∊ is a small parameter. This Hamiltonain comes from the correction given by the special relativity to the motion of the two-body ...
Elbaz I. Abouelmagd +2 more
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