Results 41 to 50 of about 237,485 (323)
Analytical Approximation Methods for the Stabilizing Solution of the Hamilton–Jacobi Equation [PDF]
, 2007 In this paper, two methods for approximating the stabilizing solution of the Hamilton–Jacobi equation are proposed using symplectic geometry and a Hamiltonian perturbation technique as well as stable manifold theory.
21858 +3 more
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CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We develop the theory of CKP hierarchy introduced in the papers of Kyoto school [Date E., Jimbo M., Kashiwara M., Miwa T., J. Phys. Soc. Japan 50 (1981), 3806-3812] (see also [Kac V.G., van de Leur J.W., Adv. Ser. Math. Phys., Vol. 7, World Sci.
Johan W. van de Leur +2 more
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Integrable discretizations of a two-dimensional Hamiltonian system with a quartic potential
, 2007 In this paper, we propose integrable discretizations of a two-dimensional Hamiltonian system with quartic potentials. Using either the method of separation of variables or the method based on bilinear forms, we construct the corresponding integrable ...
BAO-FENG FENG +2 more
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Dispersionless Limit of Integrable Models [PDF]
, 2002 Nonlinear dispersionless equations arise as the dispersionless limit of well know integrable hierarchies of equations or by construction, such as the system of hydrodynamic type.
Brunelli, J. C.
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INTEGRABLE SYSTEMS WITH IMPURITY [PDF]
Lie Theory and Its Applications in Physics V, 2004 After reviewing some basic properties of RT algebras, which appear to be the natural framework to deal with integrable systems in presence of an impurity, we show how any integrable system (including these possessing translation invariance) can be promoted to an integrable system with an impurity which can reflect and transmit particles.
openaire +3 more sources
Discrete Integrable Equations over Finite Fields
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Discrete integrable equations over finite fields are investigated. The indeterminacy of the equation is resolved by treating it over a field of rational functions instead of the finite field itself. The main discussion concerns a generalized discrete KdV
Masataka Kanki +2 more
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The Geometry of Integrable and Superintegrable Systems
, 2012 The group of automorphisms of the geometry of an integrable system is considered. The geometrical structure used to obtain it is provided by a normal form representation of integrable systems that do not depend on any additional geometrical structure ...
A. Banyaga +18 more
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Network topology drives population temporal variability in experimental habitat networks
Population Ecology, EarlyView.Habitat patches connected by dispersal pathways form habitat networks. We explored how network topology affects population outcomes in laboratory experiments using a model species (Daphnia carinata). Central habitat nodes in complex lattice networks exhibited lower temporal variability in population sizes, suggesting they support more stable ...
Yiwen Xu +3 more
wiley +1 more source
Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We describe new families of the Knizhnik-Zamolodchikov-Bernard (KZB) equations related to the WZW-theory corresponding to the adjoint $G$-bundles of different topological types over complex curves $Sigma_{g,n}$ of genus $g$ with $n$ marked points.
Andrey M. Levin +3 more
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Bi-Hamiltonian partially integrable systems
, 2003 Given a first order dynamical system possessing a commutative algebra of dynamical symmetries, we show that, under certain conditions, there exists a Poisson structure on an open neighbourhood of its regular (not necessarily compact) invariant manifold ...
Giachetta, G. +2 more
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