AV Bolsinov, AT Fomenko - 2004 - taylorfrancis.com
… the foundation of the classification theory and related topics in the topology of integrable systems. The second part (… geodesic ows of Riemannian metrics on two-dimensional surfaces. …
NT Zung - Compositio Mathematica, 2003 - cambridge.org
… system allows us to reduce this non-Abelian structural sheaf to a very nice finite-dimensional Abelian subsheaf, which we will call the affine monodromy sheaf. Our main characteristic …
VE Adler, AI Bobenko, YB Suris - Communications in Mathematical …, 2003 - Springer
… Generalizations of these ideas to the three–dimensionalintegrablesystems and … 2 we formulate our main result (Theorem 1), consisting of a complete classification of integrablesystems …
V San Ngọc - … Équations aux dérivées partielles (Polytechnique) dit …, 2001 - numdam.org
… Les résultats de classification standard (telles les coordonnées actions-angles semi-… de dimension2 de type elliptique (p ¢ x2 ξ2) ou hyperboliques (p ¢ xξ) et à des blocs de dimension …
… AT Fomenko, “A bordism theory for integrable nondegenerate Hamiltonian systems with two degrees of freedom. A new topological invariant of higher-dimensionalintegrablesystems”, …
A Toulet - These, Université de Montpellier II, 1996 - pascal-francis.inist.fr
… Search by classification … Classification des systèmesintégrables en dimension2 Other title Classification of integrablesystems on two-dimensional sysmplectic manifolds (en) …
VE Adler, AI Bobenko, YB Suris - Functional Analysis and its Applications, 2009 - Springer
… for two-dimensionalsystems from the three-dimensional consistency. Thus, the latter property can be viewed as a definition of integrability. It is a criterion that can be checked in a …
C Daskaloyannis, K Ypsilantis - Journal of Mathematical Physics, 2006 - pubs.aip.org
… two-dimensional superintegrable systems with quadratic integrals of motion on a manifold can be classified … two-dimensionalintegrable classical systems on the plane is given in Refs. …