Results 11 to 20 of about 342,930 (267)
Experimental study of tensor invariants of Hamiltonian systems [PDF]
Typically, one considers the problem of finding the minimum number of invariants of a dynamical system sufficient for integrability. It can be also assumed that there are invariants not related to integrability that describe other properties of the ...
Tsiganov A. V.
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Symmetry, Symmetry Breaking and Topology [PDF]
The ground state of a system with symmetry can be described by a group G. This symmetry group G can be discrete or continuous. Thus for a crystal G is a finite group while for the vacuum state of a grand unified theory G is a continuous Lie group. The ground state symmetry described by G can change spontaneously from G to one of its subgroups H as the ...
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AbstractWe advocate an account of dualities between physical theories: the basic idea is that dual theories are isomorphic representations of a common core. We defend and illustrate this account, which we call a Schema, in relation to symmetries. Overall, the account meshes well with standard treatments of symmetries.
Sebastian De Haro, Jeremy Butterfield
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Patterns, symmetry, and symmetry breaking [PDF]
Explaining software patterns by breaking the symmetry created by programming languages.
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Published in Journal of Cryptology.
Lenstra, HW, Silverberg, A
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Group Classification of a General Bond-Option Pricing Equation of Mathematical Finance
We carry out group classification of a general bond-option pricing equation. We show that the equation admits a three-dimensional equivalence Lie algebra.
Tanki Motsepa +2 more
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Exact solutions of equal-width equation and its conservation laws
In this work we investigate the equal-width equation, which is used for simulation of (1-D) wave propagation in non-linear medium with dispersion process.
Khalique Chaudry Masood +2 more
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This paper studies the second extended Calogero-Bogoyavlenskii-Schiff (eCBS) equation in (2+1)–dimensions, which was proposed in the literature a short time ago.
Chaudry Masood Khalique, Anila Mehmood
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The low-lying spectra of atomic nuclei display diverse behaviors, for example rotational bands, which can be described phenomenologically by simple symmetry groups such as spatial SU(3). This leads to the idea of dynamical symmetry, where the Hamiltonian commutes with the Casimir operator(s) of a group, and is block-diagonal in subspaces defined by the
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A Variational Approach to an Inhomogeneous Second-Order Ordinary Differential System
This paper studies the coupled inhomogeneous Lane-Emden system from the Lagrangian formulation point of view. The existence of multiple positive solutions has been discussed in the literature.
B. Muatjetjeja, C. M. Khalique
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