Differential Galois Theory and Non-integrability of Hamiltonian SystemsBirkhäuser, 1999 - 165 pages |
Table des matières
Introduction | 1 |
Three Models | 5 |
Hamiltonian Systems | 47 |
Droits d'auteur | |
10 autres sections non affichées
Autres éditions - Tout afficher
Differential Galois Theory and Non-Integrability of Hamiltonian Systems Juan J. Morales Ruiz Aucun aperçu disponible - 2012 |
Expressions et termes fréquents
abelian algorithm analytic ANVE b₁ b₂ canonical Chapter coefficients completely integrable complex compute coordinates Corollary corresponding defined degrees of freedom denote differential Galois group differential Galois theory equilibrium point fibre finite germ given global meromorphic group G Hamiltonian system Hence holomorphic vector homoclinic orbit homogeneous identity component independent integral curve involutive isomorphism Lamé equation Lemma Lie algebra linear algebraic group linear differential equation matrix meromorphic connection meromorphic first integrals meromorphic functions monodromy group neighborhood non-integrability normal variational equation obtain parameters periodic orbit phase space Picard-Vessiot extension Poincaré points at infinity Poisson algebra polynomial potential proof Proposition 2.2 rational functions remark resp result Riemann surface singular points solutions solvable sp(V Stokes multipliers subset symplectic form symplectic manifold torus trivial V₁ variables vector field vector space y₁ Zariski zero Ziglin αξ