Cargando…

Topological classification of integrable systems

In recent years, researchers have found new topological invariants of integrable Hamiltonian systems of differential equations and have constructed a theory for their topological classification. Each paper in this important collection describes one of the âeoebuilding blocksâe of the theory, and se...

Descripción completa

Detalles Bibliográficos
Autor principal: Fomenko, A T
Lenguaje:eng
Publicado: AMS 1991
Materias:
Acceso en línea:http://cds.cern.ch/record/318403
_version_ 1780890484346978304
author Fomenko, A T
author_facet Fomenko, A T
author_sort Fomenko, A T
collection CERN
description In recent years, researchers have found new topological invariants of integrable Hamiltonian systems of differential equations and have constructed a theory for their topological classification. Each paper in this important collection describes one of the âeoebuilding blocksâe of the theory, and several of the works are devoted to applications to specific physical equations. In particular, this collection covers the new topological invariants of integrable equations, the new topological obstructions to integrability, a new Morse-type theory of Bott integrals, and classification of bifurcations of the Liouville tori in integrable systems. The papers collected here grew out of the research seminar âeoeContemporary Geometrical Methodsâe at Moscow University, under the guidance of A. T. Fomenko, V. V. Trofimov, and A. V. Bolsinov. Bringing together contributions by some of the experts in this area, this collection is the first publication to treat this theory in a comprehensive way.
id cern-318403
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1991
publisher AMS
record_format invenio
spelling cern-3184032021-04-22T03:31:07Zhttp://cds.cern.ch/record/318403engFomenko, A TTopological classification of integrable systemsMathematical Physics and MathematicsIn recent years, researchers have found new topological invariants of integrable Hamiltonian systems of differential equations and have constructed a theory for their topological classification. Each paper in this important collection describes one of the âeoebuilding blocksâe of the theory, and several of the works are devoted to applications to specific physical equations. In particular, this collection covers the new topological invariants of integrable equations, the new topological obstructions to integrability, a new Morse-type theory of Bott integrals, and classification of bifurcations of the Liouville tori in integrable systems. The papers collected here grew out of the research seminar âeoeContemporary Geometrical Methodsâe at Moscow University, under the guidance of A. T. Fomenko, V. V. Trofimov, and A. V. Bolsinov. Bringing together contributions by some of the experts in this area, this collection is the first publication to treat this theory in a comprehensive way.AMSoai:cds.cern.ch:3184031991
spellingShingle Mathematical Physics and Mathematics
Fomenko, A T
Topological classification of integrable systems
title Topological classification of integrable systems
title_full Topological classification of integrable systems
title_fullStr Topological classification of integrable systems
title_full_unstemmed Topological classification of integrable systems
title_short Topological classification of integrable systems
title_sort topological classification of integrable systems
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/318403
work_keys_str_mv AT fomenkoat topologicalclassificationofintegrablesystems