Integrable Systems
Mostrando 1-12 de 14 artigos, teses e dissertações.
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1. An integrable decomposition of the Manakov equation
An integrable decomposition of the Manakov equation is presented. A pair of new finite-dimensional integrable Hamiltonian systems which constitute the integrable decomposition of the Manakov equation are obtained. Mathematical subject classification: 37K10.
Computational & Applied Mathematics. Publicado em: 2012
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2. Um invariante para sistemas com integral primeira Morse-Bott / A invariant for systems with a Morse-Bott first integral
Nesta dissertação são investigados os sistemas diferenciais com integral primeira do tipo Morse-Bott definidos em superfícies compactas e orientáveis. A cada sistema, nas condições acima descritas, associa-se um grafo de modo que a correspondência entre os grafos e as classes de equivalência topologica orbital dos campos investigados seja bijetiva.
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 16/08/2011
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3. Sólitons e teorias não lineares integráveis / Solitons and Nonlinear Integrable Systems
Uma generalização dos modelos de Toda bidimensionais pela inclusão de campos de Dirac é estudada através de métodos algébricos que possibilitam a construção de cargas e soluções para o modelo. Após desenvolver o formalismo matemático necessário, as cargas conservadas do modelo em questão são determinadas para soluções sóliton, a partir da
Publicado em: 2009
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4. Análise de escala em bilhares com fronteiras móveis
We study numerically the scaling properties of some dynamical systems. Near the transition from the integrable to the non-integrable regime of complete e simplified versions of Fermi-Ulam model, we investigate the region of low energy (chaotic sea). We evaluate average quantities as functions (a) of the iteration number n or the time t, (b) of the initial ve
Publicado em: 2008
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5. THE HOMOLOGY OF SOME ISOSPECTRAL MANIFOLDS / HOMOLOGIA DE VARIEDADES ISOESPECTRAIS
For (Lambda) a real, diagonal matrix of simple spectrum, we consider O(lambda), the isospectral manifold of real, symmetric matrices conjugate to (Lambda), and (Tau)(Lambda), the isospectral manifold of tridiagonal matrices in O(Lambda).We compute the homologies of both manifolds, combining techniques of Morse theory and integrable systems. As a consequence,
Publicado em: 2008
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6. Classical limit of non-integrable systems
Self-induced decoherence formalism and the corresponding classical limit are extended from quantum integrable systems to non-integrable ones.
Brazilian Journal of Physics. Publicado em: 2005-06
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7. Symplectic integrators revisited
This paper is a survey on Symplectic Integrator Algorithms (SIA): numerical integrators designed for Hamiltonian systems. As it is well known, n degrees of freedom Hamiltonian systems have an important property: their ows preserve not only the total volume of the phase space, which is only one of the Poincaré invariants, but also the volume of sub-spaces le
Brazilian Journal of Physics. Publicado em: 2002-12
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8. Integrable systems and quantum groups
We present some aspects of the study of quantum integrable systems and its relation to quantum groups.
Brazilian Journal of Physics. Publicado em: 2000-06
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9. Completely integrable systems and groups generated by reflections
We introduce a class of quantum Hamiltonian systems with δ-function potential, related to groups generated by reflections. They generalize the system of equal elastic particles on the line. We show that these systems are completely integrable and we integrate them explicitly. Then we apply our technique to obtain identities for groups generated by reflectio
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10. Euler-Poisson equations on Lie algebras and the N-dimensional heavy rigid body
The classical Euler-Poisson equations describing the motion of a heavy rigid body about a fixed point are generalized to arbitrary Lie algebras as Hamiltonian systems on coad-joint orbits of a tangent bundle Lie group. the N-dimensional Lagrange and symmetric heavy top are thereby shown to be completely integrable.
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11. Canonical coordinates for plasma and hydrodynamic problems
Many nonlinear equations arising in plasma physics, hydrodynamics, and solid-state physics can be written in Hamiltonian form. The full advantage of this is achieved only when the existence of canonical coordinates and momenta is known. Here such coordinates are exhibited for three large classes of equations—which seem to include almost all known completel
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12. Laws of composition of Bäcklund transformations and the universal form of completely integrable systems in dimensions two and three
Bäcklund transformations are defined as operations on solutions of a Riemann boundary value problem (vector bundles over P1) that add apparent singularities. For solutions of difference and differential linear spectral problems, Bäcklund transformations are presented in explicit form through the Christoffel formula and its generalizations. Identities satis