New Titles  |  FAQ  |  Keep Informed  |  Review Cart  |  Contact Us Quick Search (Advanced Search ) Browse by Subject General Interest Logic & Foundations Number Theory Algebra & Algebraic Geometry Discrete Math & Combinatorics Analysis Differential Equations Geometry & Topology Probability & Statistics Applications Mathematical Physics Math Education

Topological Classification of Integrable Systems
Edited by: A. T. Fomenko
 SEARCH THIS BOOK:
1991; 345 pp; hardcover
Volume: 6
ISBN-10: 0-8218-4105-X
ISBN-13: 978-0-8218-4105-1
List Price: US$229 Member Price: US$183.20

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 "building blocks" 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 "Contemporary Geometrical Methods" 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.

• V. V. Kalashnikov, Jr. -- Description of the structure of Fomenko invariants on the boundary and inside $$Q$$-domains, estimates of their number on the lower boundary for the manifolds $$S^3$$, $$\Bbb R P^3$$, $$S^1\times S^2$$, and $$T^3$$