Results 11 to 20 of about 244,947 (267)
Singularity confinement and algebraic integrability [PDF]
Journal of Mathematical Physics, 2004 Two important notions of integrability for discrete mappings, algebraic integrability and singularity confinement, have been used for discrete mappings. Algebraic integrability is related to the existence of sufficiently many conserved quantities and singularity confinement is associated with the local analysis of singularities.
Lafortune, S, Goriely, A
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Deautonomisation by Singularity Confinement and Degree Growth
The Journal of Geometric AnalysisVersion accepted for publication in Journal of Geometric Analysis. 46 pages. This version is based on sections 1, 2, 3, 5 and appendix A of the previous version.
Alexander Stokes +3 more
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Symplectic singularities, color confinement, and the quantum Dirac sheaf
Journal of High Energy PhysicsA singularity â„‚2r /G, with G a split symplectic reflection group, may or may not be crepant. Then the total space đť’ł of the Donagi-Witten integrable system is crepant for some 4d N = 2 $$ \mathcal{N}=2 $$ SCFT and non-crepant for others.
Sergio Cecotti
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Singularity confinement for maps with the Laurent property [PDF]
Physics Letters A, 2007 13 pages; typos corrected; comments & references added; reformulation of ...
Hone, Andrew N.W.
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Discrete Painlevé I and singularity confinement in projective space [PDF]
Chaos, Solitons and Fractals, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jarmo Hietarinta
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A geometric approach to singularity confinement and algebraic entropy [PDF]
Journal of Physics A, 2001 A geometric approach to the equation found by Hietarinta and Viallet, which satisfies the singularity confinement criterion but exhibits chaotic behavior, is presented. It is shown that this equation can be lifted to an automorphism of a certain rational surface and can therefore be considered to be the action of an extended Weyl group of indefinite ...
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Tropical geometric interpretation of ultradiscrete singularity confinement [PDF]
Journal of Physics A: Mathematical and Theoretical, 2013 Using the interpretation of the ultradiscretization procedure as a non-Archimedean valuation, we use results of tropical geometry to show how roots and poles manifest themselves in piece-wise linear systems as points of non-differentiability. This will allow us to demonstrate a correspondence between singularity confinement for discrete integrable ...
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Geometrical description of equations related to the E8 affine Weyl group [PDF]
Open Communications in Nonlinear Mathematical Physics, 2023 We present a method for the construction of the trajectory of a discrete Painlev\'e equation associated with the affine Weyl group E$_8^{(1)}$ on the weight lattice of said group.
Alfred Ramani +2 more
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Enhancing Learning of the Grad-Shafranov Equation through Scientific Literature: Part 1 of a Physics Education Series [PDF]
Revista Brasileira de Ensino de FĂsica, 2023 This article provides a comprehensive review of relevant studies in the fields of plasma physics, electromagnetism, and space physics. The aim is to demonstrate how the study of the scientific literature can be used to enhance problem-solving abilities ...
A. Ojeda-González +7 more
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Singular SQCD vacua and confinement [PDF]
Journal of High Energy Physics, 2012 We revisit the study of confining vacua in the softly broken N=2 supersymmetric QCD, in the light of some recent developments in our understanding of the dynamics of N=2 gauge theories. These vacua are characterized by an effective magnetic $SU(r)$ gauge group ($0\leq r\leq N_f/2$) and are referred to sometimes as the $r$ vacua.
KONISHI, KENICHI, Giacomelli S.
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