Results 31 to 40 of about 245,746 (323)
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
core +3 more sources
, 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
core +1 more source
Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant [PDF]
, 2006 We study Beauville's completely integrable system and its variant from a viewpoint of multi-Hamiltonian structures. We also relate our result to the previously known Poisson structures on the Mumford system and the even Mumford system.Comment: This is a ...
Inoue, Rei, Konishi, Yukiko
core +8 more sources
Chaos in the BMN matrix model [PDF]
, 2015 We study classical chaotic motions in the Berenstein-Maldacena-Nastase (BMN) matrix model. For this purpose, it is convenient to focus upon a reduced system composed of two-coupled anharmonic oscillators by supposing an ansatz. We examine three ans\"atze:
Asano, Yuhma +2 more
core +3 more sources
A new integrable system related to the Toda lattice
, 1996 A new integrable lattice system is introduced, and its integrable discretizations are obtained. A B\"acklund transformation between this new system and the Toda lattice, as well as between their discretizations, is established.Comment: LaTeX, 14 ...
Hirota R +5 more
core +1 more source
Degenerately Integrable Systems [PDF]
Journal of Mathematical Sciences, 2016 The subject of this paper is degenerate integrability in Hamiltonian mechanics. It starts with a short survey of degenerate integrability. The first section contains basic notions. It is followed by a number of examples which include the Kepler system, Casimir models, spin Calogero models, spin Ruijsenaars models, and integrable models on symplectic ...
openaire +3 more sources
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
core +5 more sources
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
doaj +1 more source
Psychosocial Outcomes in Patients With Endocrine Tumor Syndromes: A Systematic Review
Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction The combination of disease manifestations, the familial burden, and varying penetrance of endocrine tumor syndromes (ETSs) is unique. This review aimed to portray and summarize available data on psychosocial outcomes in patients with ETSs and explore gaps and opportunities for future research and care.
Daniël Zwerus +6 more
wiley +1 more source
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
doaj +1 more source