Results 41 to 50 of about 25,165,823 (318)
Coupling symmetries with Poisson structures
, 2012 We study local normal forms for completely integrable systems on Poisson manifolds in the presence of additional symmetries. The symmetries that we consider are encoded in actions of compact Lie groups.
Laurent-Gengoux, Camille, Miranda, Eva
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Averaging method for systems with separatrix crossing [PDF]
, 2017 The averaging method provides a powerful tool for studying evolution in near-integrable systems. Existence of separatrices in the phase space of the underlying integrable system is an obstacle for application of standard results that justify using of ...
Neishtadt, Anatoly
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A new integrable system on the sphere [PDF]
, 2004 This pre-print has been submitted, and accepted, to the journal, Mathematical Research Letters. The definitive version: DULLIN, H.R. and MATVEEV, V.S., 2004. A new integrable system on the sphere. Mathematical Research Letters, 11(5-6),pp. 715-722.
H. Dullin, V. Matveev
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Discrete Values of the Coefficient of Damping under Conditions of Explicit Acoustic Nonlinearity
Nonlinear Analysis, 2006 Qualitative analysis of hypersound generation is described by the inhomogeneous Burgers equation in the case of the non-harmonic and arbitrary light field. A qualitative possibility of the appearance of discrete values of the coefficient of extinction of
P. Miškinis
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, 2012 The box-ball system is an integrable cellular automaton on one dimensional lattice. It arises from either quantum or classical integrable systems by the procedures called crystallization and ultradiscretization, respectively.
Ariki S +42 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 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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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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SOLVABILITY OF THE G2 INTEGRABLE SYSTEM [PDF]
, 1997 It is shown that the three-body trigonometric G2 integrable system is exactly solvable. If the configuration space is parametrized by certain symmetric functions of the coordinates then, for arbitrary values of the coupling constants, the Hamiltonian can
M. Rosenbaum, A. Turbiner, A. Capella
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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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