Results 31 to 40 of about 77,468 (213)

On the algebraic properties of difference approximations of Hamiltonian systems

Discrete and Continuous Models and Applied Computational Science
In this paper, we examine difference approximations for dynamic systems characterized by polynomial Hamiltonians, specifically focusing on cases where these approximations establish birational correspondences between the initial and final states of the ...
Lyubov O. Lapshenkova, Mikhail D. Malykh, Elena N. Matyukhina   +2 more
doaj   +1 more source

A note on the integrability of exceptional potentials via polynomial bi-homogeneous potentials

Bulletin of Computational Applied Mathematics, 2021
This paper is concerned with the polynomial integrability of the two-dimensional Hamiltonian systems associated to complex homogeneous polynomial potentials of degree k of type $V_{k,l}=\alpha (q_2-i q_1)^l (q_2+iq_1)^{k-l}$ with $\alpha$ in C and l=0 ...
Primitivo B. Acosta-Humánez, Martha Álvarez-Ramírez, Teresinha J. Stuchi   +2 more
doaj  

Polynomial filter diagonalization of large Floquet unitary operators

SciPost Physics, 2021
Periodically driven quantum many-body systems play a central role for our understanding of nonequilibrium phenomena. For studies of quantum chaos, thermalization, many-body localization and time crystals, the properties of eigenvectors and eigenvalues
David J. Luitz
doaj   +1 more source

Hydrodynamic-type systems describing 2-dimensional polynomially integrable geodesic flows

, 2016
Starting from a homogeneous polynomial in momenta of arbitrary order we extract multi-component hydrodynamic-type systems which describe 2-dimensional geodesic flows admitting the initial polynomial as integral.
Manno, Gianni, Pavlov, Maxim V.
core   +1 more source

Dolan-Grady Relations and Noncommutative Quasi-Exactly Solvable Systems [PDF]

, 2002
We investigate a U(1) gauge invariant quantum mechanical system on a 2D noncommutative space with coordinates generating a generalized deformed oscillator algebra.
Alekseev A Yu, Banks T, Bargmann V, Baxter R J, Baxter R J, Baxter R J, Daskaloyannis C, Daskaloyannis C, Daskaloyannis C, Davies B, Davies B, Dolan L, Finkel F Gonzalez-Lopez A Kamran N Olver P J Rodriguez M A, Iengo R, Jatkar D P, Kimura Y, Klishevich S Plyushchay M, Mikhail S Plyushchay, Myers R C, Nakahara M, Ohnuki Y, Perk J H H, Plyushchay M S, Sergey M Klishevich, Shifman M A, Smirnov Yu, Taylor W, Turbiner A, Turbiner A, Ushveridze A, Valtancoli P   +30 more
core   +4 more sources

Identification Conditions for the Solvability of NP-complete Problems for the Class of Pre-fractal Graphs

Моделирование и анализ информационных систем, 2021
Modern network systems (unmanned aerial vehicles groups, social networks, network production chains, transport and logistics networks, communication networks, cryptocurrency networks) are distinguished by their multi-element nature and the dynamics of ...
Aleksandr Vasil'evich Tymoshenko, Rasul Ahmatovich Kochkarov, Azret Ahmatovich Kochkarov   +2 more
doaj   +1 more source

Operatorial quantization of Born-Infeld Skyrmion model and hidden symmetries [PDF]

, 2001
The SU(2) collective coordinates expansion of the Born-Infeld\break Skyrmion Lagrangian is performed. The classical Hamiltonian is computed from this special Lagrangian in approximative way: it is derived from the expansion of this non-polynomial ...
Adkins G, Barcelos Neto J, Batalin I A, Batalin I A, Born M, Born M, C Neves, Derrick G H, Dirac P A M, Dirac P A M, E R de Oliveira, Fujii K, Hanson A, Henneaux M, Holzwarth G, J Ananias Neto, Lee T D, Mitra P, Neto J A, Neto J A, Neves C, Skyrme T H, Sundermeyer K, Toda A, Vytheeswaran A S, W Oliveira, Weigel H, Weinberg S, Woodhouse N M J, Wotzasek C, Wotzasek C   +30 more
core   +3 more sources

Superintegrable Extensions of Superintegrable Systems

Symmetry, Integrability and Geometry: Methods and Applications, 2012
A procedure to extend a superintegrable system into a new superintegrable one is systematically tested for the known systems on E^2 and S^2 and for a family of systems defined on constant curvature manifolds. The procedure results effective in many cases
Claudia M. Chanu, Luca Degiovanni, Giovanni Rastelli   +2 more
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Two-layer-atmospheric blocking in a medium with high nonlinearity and lateral dispersion

Results in Physics, 2018
Herein, the extended coupled Kadomtsev–Petviashvili equation (CKPE) with lateral dispersion is investigated for studying the atmospheric blocking in two layers.
M.S. Osman, H.I. Abdel-Gawad, M.A. El Mahdy   +2 more
doaj   +1 more source

Physics-based deep neural networks for beam dynamics in charged particle accelerators

Physical Review Accelerators and Beams, 2020
This paper presents a novel approach for constructing neural networks which model charged particle beam dynamics. In our approach, the Taylor maps arising in the representation of dynamics are mapped onto the weights of a polynomial neural network.
Andrei Ivanov, Ilya Agapov
doaj   +1 more source