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Index Theory for Symplectic Paths with Applications on Hardback by Yiming Long
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Index Theory for Symplectic Paths with Applications

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Description

This text gives a systematic introduction to the index theory for symplectic matrix paths and its iteration theory, as well as applications to periodic solution problems of nonlinear Hamiltonian systems. Among the topics covered are the algebraic and topological properties of symplectic matrices and groups; the index theory for symplectic paths; relations with other Morse-type index theories; Bott-type iteration formulae; splitting numbers; precise index iteration formulae; various index iteration inequalities; and common index properties of finitely many symplectic paths. The applications of these concepts yield new approaches to some outstanding problems and important progress on their solutions. Particular attention is given to the minimal period solution problem of Hamiltonian systems, the existence of infinitely many periodic points of the Poincare map of Lagrangian systems on tori, and the multiplicity and stability problems of closed characteristics on convex compact smooth hypersurfaces in 2n-dimensional euclidean vector space.
Release date Australia
March 25th, 2002
Author
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
XXIV, 380 p.
Pages
380
Dimensions
156x234x23
ISBN-13
9783764366476
Product ID
2427952

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Index Theory for Symplectic Paths with Applications by Yiming Long
$343.99
Index Theory for Symplectic Paths with Applications
by Yiming Long ~ Paperback / softback
Available - Usually ships in 3-4 weeks

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