Results 21 to 30 of about 716,407 (270)
REDUCTION OF PRESYMPLECTIC MANIFOLDS WITH SYMMETRY [PDF]
Reviews in Mathematical Physics, 1999 Actions of Lie groups on presymplectic manifolds are analyzed, introducing the suitable comomentum and momentum maps. The subsequent theory of reduction of presymplectic dynamical systems with symmetry is studied. In this way, we give a method of reduction which enables us to remove gauge symmetries as well as non-gauge "rigid" symmetries at once ...
Echeverría-Enríquez, A. +2 more
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Lagrangian reduction of discrete mechanical systems by stages [PDF]
, 2015 In this work we introduce a category of discrete Lagrange--Poincare systems LP_d and study some of its properties. In particular, we show that the discrete mechanical systems and the discrete mechanical systems obtained by the Lagrangian reduction of ...
Fernandez, Javier +2 more
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Dynamic Symmetry Reduction [PDF]
, 2005 Symmetry reduction is a technique to combat the state explosion problem in temporal logic model checking. Its use with symbolic representation has suffered from the prohibitively large BDD for the orbit relation. One suggested solution is to pre-compute a mapping from states to possibly multiple representatives of symmetry equivalence classes.
E. Allen Emerson, Thomas Wahl
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Partner Symmetries, Group Foliation and ASD Ricci-Flat Metrics without Killing Vectors
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We demonstrate how a combination of our recently developed methods of partner symmetries, symmetry reduction in group parameters and a new version of the group foliation method can produce noninvariant solutions of complex Monge-Ampère equation (CMA) and
Andrei A. Malykh, Mikhail B. Sheftel
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Optimal Control for Holonomic and Nonholonomic Mechanical Systems with Symmetry and Lagrangian Reduction [PDF]
, 1996 In this paper we establish necessary conditions for optimal control using the ideas of Lagrangian reduction in the sense of reduction under a symmetry group.
Koon, Wang-Sang, Marsden, Jerrold E.
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Symmetry broken and unbroken solutions of nonlocal NLS equation in 2+1 dimensions
Results in Physics, 2020 In this paper, we study a general nonlinear Schrödinger (NLS) equation in 2+1 dimensions which under appropriate nonlocal symmetry reduction leads to reverse space nonlocal NLS equation. We apply Darboux transformation and construct multiple solutions of
H. Sarfraz, U. Saleem
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A template-based approach for the generation of abstractable and reducible models of featured networks [PDF]
, 2007 We investigate the relationship between symmetry reduction and inductive reasoning when applied to model checking networks of featured components. Popular reduction techniques for combatting state space explosion in model checking, like abstraction and ...
Calder, M., Donaldson, A.F., Miller, A.
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Symmetry reduction in group 4mm photonic crystals [PDF]
, 1997 The size of absolute band gaps in two-dimensional photonic crystals is often limited by band degeneracies at the lattice symmetry points. By reducing the lattice symmetry, these degeneracies can be lifted to increase the size of existing photonic band ...
Anderson, Cheryl M. +1 more
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Dimensional reduction of symmetries [PDF]
Physics Letters B, 1983 Abstract It has been shown that ordinary (d−2)-dimensional quantum field theories are equivalent to corresponding quantum field theories defined on a (d+2)-dimensional superspace with two anticommuting variables. This dimensional reduction is a consequence of superrotation invariance in the superspace.
A. Kupiainen, A. Niemi
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Poisson reduction for nonholonomic mechanical systems with symmetry [PDF]
, 1998 This paper continues the work of Koon and Marsden [1997b] that began the comparison of the Hamiltonian and Lagrangian formulations of nonholonomic systems.
Koon, Wang Sang, Marsden, Jerrold E.
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