Results 11 to 20 of about 1,065,720 (348)
On integrability and cyclicity of cubic systems
In this paper we study the integrability of a few families of the complex cubic system. We have obtained necessary and sufficient conditions for existence of a local analytic first integral.
Maša Dukarić
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A variational method for integrability-breaking Richardson-Gaudin models [PDF]
We present a variational method for approximating the ground state of spin models close to (Richardson-Gaudin) integrability. This is done by variationally optimizing eigenstates of integrable Richardson-Gaudin models, where the toolbox of integrability ...
Caux, Jean-Sébastien +3 more
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Strongly formal Weierstrass non-integrability for polynomial differential systems in $\mathbb{C}^2$
Recently it has been given a criterion for determining the weakly formal Weierstrass non-integrability of polynomial differential systems in $\mathbb{C}^2$.
Jaume Giné, Jaume Llibre
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OA ...
Gustav Dobos +4 more
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Integrity is the dedicated commitment to an accepted conduct and form of living ... is the honest response to professional attitudes and values.
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Integrability for Feynman integrals
We give a brief overview of the Yangian symmetry of Feynman integrals. After a short introduction to the Yangian and integrability, we motivate the emergence of integrable structures for Feynman integrals via the fishnet limit of AdS/CFT. We discuss the resulting Yangian differential equations for massless fishnets in four dimensions as well as ...
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The Dynamics of Digits: Calculating Pi with Galperin’s Billiards
In Galperin billiards, two balls colliding with a hard wall form an analog calculator for the digits of the number π . This classical, one-dimensional three-body system (counting the hard wall) calculates the digits of π in a base determined ...
Xabier M. Aretxabaleta +5 more
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Geodesics for the Painlevé–Gullstrand Form of Lense–Thirring Spacetime
Recently, the current authors have formulated and extensively explored a rather novel Painlevé–Gullstrand variant of the slow-rotation Lense–Thirring spacetime, a variant which has particularly elegant features—including unit lapse, intrinsically flat ...
Joshua Baines +3 more
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Generalized integrability conditions and target space geometry [PDF]
In some higher dimensional nonlinear field theories integrable subsectors with infinitely many conservation laws have been identified by imposing additional integrability conditions.
Adam +17 more
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