Results 21 to 30 of about 36,265 (314)

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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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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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
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Port-Hamiltonian Systems on Graphs [PDF]

SIAM Journal on Control and Optimization, 2013
In this paper we present a unifying geometric and compositional framework for modeling complex physical network dynamics as port-Hamiltonian systems on open graphs. Basic idea is to associate with the incidence matrix of the graph a Dirac structure relating the flow and effort variables associated to the edges, internal vertices, as well as boundary ...
Schaft, A. J., Maschke, B. M.
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QUANTUM BI-HAMILTONIAN SYSTEMS [PDF]

International Journal of Modern Physics A, 2000
We define quantum bi-Hamiltonian systems, by analogy with the classical case, as derivations in operator algebras which are inner derivations with respect to two compatible associative structures. We find such structures by means of the associative version of Nijenhuis tensors. Explicit examples, e.g. for the harmonic oscillator, are given.
Janusz Grabowski, Janusz Grabowski, José F. Cariñena, Giuseppe Marmo   +3 more
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Browder spectra of closed upper triangular operator matrices

AIMS Mathematics
Let $ T_{B} = \left[\begin{array}{ll} A & B \\ 0 & D \end{array}\right] $ be an unbounded upper operator matrix with diagonal domain, acting in $ \mathcal H \oplus\mathcal K $, where $ \mathcal H $ and $ \mathcal K $ are Hilbert spaces.
Qingmei Bai, Alatancang Chen, Jingying Gao   +2 more
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Hamiltonian Systems with Spin [PDF]

Canadian Mathematical Bulletin, 1969
In this note we give a brief exposition of the mathematical foundations of the theory of spin for both classical and quantum mechanical systems on oriented Riemannian manifolds. We shall use freely the notations and theory developed in Abraham [1] and Marsden [2, 3], From the physical point of view nothing new appears.
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Enhancing brain tumor detection in MRI images using YOLO-NeuroBoost model

Frontiers in Neurology
Brain tumors are diseases characterized by abnormal cell growth within or around brain tissues, including various types such as benign and malignant tumors. However, there is currently a lack of early detection and precise localization of brain tumors in
Aruna Chen, Aruna Chen, Aruna Chen, Da Lin, Qiqi Gao   +4 more
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The persistence of elliptic lower dimensional tori with prescribed frequency for Hamiltonian systems

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this paper we consider the persistence of lower dimensional tori of a class of analytic perturbed hamiltonian system, $$H=\langle \omega(\xi), I \rangle +\frac12 \Omega_0(u^2+v^2)+P(\theta,I,z,\bar{z};\xi)$$ and prove that if frequencies $(\omega_0 ...
Xuezhu Lu, Junxiang Xu, Yuedong Kong
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Quantization of Hamiltonian and non-Hamiltonian systems

Communications in Analysis and Mechanics, 2023
<abstract> <p>The quantization process was always tightly connected to the Hamiltonian formulation of classical mechanics. For non-Hamiltonian systems, traditional quantization algorithms turn out to be unsuitable. Numerous attempts to quantize non-Hamiltonian systems have shown that this problem is nontrivial and requires the development ...
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