Results 11 to 20 of about 72,758 (294)
Maximally supersymmetric RG flows in 4D and integrability
Journal of High Energy Physics, 2021 We revisit the leading irrelevant deformation of N $$ \mathcal{N} $$ = 4 Super Yang-Mills theory that preserves sixteen supercharges. We consider the deformed theory on S 3 × ℝ. We are able to write a closed form expression of the classical action thanks
João Caetano +2 more
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On the Integrability of Liénard systems with a strong saddle [PDF]
, 2017 We study the local analytic integrability for real Li\'{e}nard systems, $\dot x=y-F(x),$ $\dot y= x$, with $F(0)=0$ but $F'(0)\ne0,$ which implies that it has a strong saddle at the origin.
Giné, Jaume, Llibre, Jaume
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Integrability for Solutions of Anisotropic Obstacle Problems
International Journal of Mathematics and Mathematical Sciences, 2012 This paper deals with anisotropic obstacle problem for the 𝒜-harmonic equation ∑i=1nDi(ai(x,Du(x)))=0. An integrability result is given under suitable assumptions, which show higher integrability of the boundary datum, and the obstacle force solutions u ...
Hongya Gao, Yanjie Zhang, Shuangli Li
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Integrability: A difficult analytical problem [PDF]
Publicacions Matemàtiques, 1980 Generically hamiltonian systems are non integrable o However there are few tools in order to prove that a given system is nonintegrableo For two degrees of freedom the usual methods rely upon the appearance of tran~ versal homoclinic or heteroclinic orbitso The transversal character is shown through evaluation of integrals along orbitso Such ...
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Kubo-Martin-Schwinger relation for an interacting mobile impurity
Physical Review Research, 2023 In this work we study the Kubo-Martin-Schwinger (KMS) relation in the Yang-Gaudin model of an interacting mobile impurity. We use the integrability of the model to compute the dynamic injection and ejection Green's functions at finite temperatures.
Oleksandr Gamayun +2 more
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Computing necessary integrability conditions for planar parametrized homogeneous potentials [PDF]
, 2014 Let $V\in\mathbb{Q}(i)(\a_1,\dots,\a_n)(\q_1,\q_2)$ be a rationally parametrized planar homogeneous potential of homogeneity degree $k\neq -2, 0, 2$. We design an algorithm that computes polynomial \emph{necessary} conditions on the parameters $(\a_1 ...
Bostan, Alin +2 more
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A Dual Mesh Method for a Non-Local Thermistor Problem [PDF]
, 2006 We use a dual mesh numerical method to study a non-local parabolic problem arising from the well-known thermistor problem.Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals ...
Ammi, Moulay Rchid Sidi +2 more
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Conservative integrators for many–body problems
Journal of Computational Physics, 2022 Conservative symmetric second-order one-step schemes are derived for dynamical systems describing various many-body systems using the Discrete Multiplier Method. This includes conservative schemes for the $n$-species Lotka-Volterra system, the $n$-body problem with radially symmetric potential and the $n$-point vortex models in the plane and on the ...
Wan, Andy T. S. +2 more
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Searching for New Integrals in the Euler–Poisson Equations
AxiomsIn the classical problem of the motion of a rigid body around a fixed point, which is described by the Euler–Poisson equations, we propose a new method for computing cases of integrability: first, we provide algorithms for computing values of parameters ...
Alexander D. Bruno, Alexander B. Batkhin
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B\"acklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem [PDF]
, 2007 A GBDT version of the Backlund-Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models. The corresponding Riemann-Hilbert problem is treated and some explicit formulas
Sakhnovich, Alexander
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