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Local attractors, degeneracy and analyticity: Symmetry effects on the locally coupled Kuramoto model
(2013-04-02)
In this work we study the local coupled Kuramoto model with periodic boundary conditions. Our main objective is to show how analytical solutions may be obtained from symmetry assumptions, and while we proceed on our endeavor ...
Comment on Time-reversal symmetry-breaking superconductivity
(2001-08-20)
It is pointed out that erroneous Bardeen-Cooper-Schrieffer model equations have been used by Haranath Ghosh in his recent treatment of time-reversal symmetry-breaking superconductivity. Consequently, his numerical results ...
U(2) flavor physics without U(2) symmetry
(2000-02-10)
We present a model of fermion masses based on a minimal, non-Abelian discrete symmetry that reproduces the Yukawa matrices usually associated with U(2) theories of flavor. Mass and mixing angle relations that follow from ...
D-n-forced symmetry breaking of O(2)-equivariant problems
(Royal Soc Edinburgh, 2002-01-01)
We use singularity theory to classify forced symmetry-breaking bifurcation problemsf(z, lambda, mu) = f(1)(z, lambda) + muf(2)(z, lambda, mu) = 0,where f(1) is O(2)-equivariant and f(2) is D-n-equivariant with the orthogonal ...
Higher order Painleve equations and their symmetries via reductions of a class of integrable models
(Iop Publishing Ltd, 2011-06-10)
Higher order Painleve equations and their symmetry transformations belonging to extended affine Weyl groups A(n)((1)) are obtained through a self-similarity limit of a class of pseudo-differential Lax hierarchies with ...
The Dirac-Hestenes equation for spherical symmetric potentials in the spherical and Cartesian gauges
(2006-08-10)
In this paper, using the apparatus of the Clifford bundle formalism, we show how straightforwardly solve in Minkowski space-time the Dirac-Hestenes equation - which is an appropriate representative in the Clifford bundle ...
Vertex operators and soliton solutions of affine Toda model with U(2) symmetry
(Iop Publishing Ltd, 2004-06-18)
The symmetry structure of the non-Abelian affine Toda model based on the coset SL(3)/SL(2) circle times U(1) is studied. It is shown that the model possess non-Abelian Noether symmetry closing into a q-deformed SL(2) circle ...
Associated symmetric quadrature rules
(1996-06-01)
We prove a relation between two different types of symmetric quadrature rules, where one of the types is the classical symmetric interpolatory quadrature rules. Some applications of a new quadrature rule which was obtained ...