Last edited by Vulmaran
Wednesday, August 5, 2020 | History

3 edition of Intersection pairings on Conley indices found in the catalog.

Intersection pairings on Conley indices

by Henry L. Kurland

  • 96 Want to read
  • 19 Currently reading

Published by American Mathematical Society in Providence, RI .
Written in English

    Subjects:
  • Flows (Differentiable dynamical systems),
  • Topological dynamics.,
  • Intersection theory.

  • Edition Notes

    StatementHenry L. Kurland.
    SeriesMemoirs of the American Mathematical Society,, no. 571
    Classifications
    LC ClassificationsQA3 .A57 no. 571, QA614.82 .A57 no. 571
    The Physical Object
    Paginationvii, 184 p. :
    Number of Pages184
    ID Numbers
    Open LibraryOL802696M
    ISBN 100821804405
    LC Control Number95039138

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Intersection pairings on Conley indices by Henry L. Kurland Download PDF EPUB FB2

Get this from a library. Intersection pairings on Conley indices. [Henry L Kurland] -- This memoir is a careful and detailed study of the intersection pairing in the Conley index. The Conley index associates to an isolated invariant set of a semiflow (with some mild compactness.

Further, when the homology modules of the Conley indices are torsion free, the intersection number pairing is non-singular. Also, the pairing associated to an isolated invariant set of a product flow is, modulo torsion, the product (up to sign) of the pairings associated to the factor isolated invariant caskel.com: Henry L.

Kurland. Mar 17,  · Further, when the homology modules of the Conley indices are torsion free, the intersection number pairing is non-singular. Also, the pairing associated to an isolated invariant set of a product flow is, modulo torsion, the product (up to sign) of.

Introduction 1. Basic notation and background definitions 2. The intersection pairings $\mathsf {L}$, $\mathfrak {L}$, and $^\#\mathfrak {L}$ 3.

Statement of the continuation results and examples 4. Construction of bilinear pairings on Conley indices 5. Proofs of the continuation results 6.

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There are also many Ebooks of related with this subject. For (two-sided) flows, there are two indices defined: one for the forward flow; and one for the reverse flow. In general, the two indices give different information about the flow; but for flows on orientable manifolds, there is a duality isomorphism between the homology Conley indices of.

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We use Conley index theory to solve the singular boundary value problem 2 Du xx + f (u, u x, x) = 0 on an interval [−1, 1], where u ∈ R n and D is a diagonal matrix, with separated boundary.

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