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Periodic Solutions of Hamiltonian Systems and Related Topics

  • Book
  • © 1987

Overview

Editors:
  1. P. H. Rabinowitz

    1. Department of Mathematics, University of Wisconsin-Madison, USA

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  2. A. Ambrosetti

    1. Scuola Normale Superiore, Pisa, Italy

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  3. I. Ekeland

    1. Université de Paris 9 Dauphine, Paris, France

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  4. E. J. Zehnder

    1. Department of Mathematics, Rühr University, Bochum, Germany

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Part of the book series: Nato Science Series C: (ASIC, volume 209)

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Table of contents (25 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Periodic Solutions of Singular Dynamical Systems

    • Antonio Ambrosetti, Vittorio Coti Zelati
    Pages 1-10

  3. Pseudo-Orbits of Contact Forms

    • Abbas Bahri
    Pages 11-56

  4. Some Applications of the Morse-Conley Theory to the Study of Periodic Solutions of Second Order Conservative Systems

    • V. Benci
    Pages 57-78

  5. A “Birkhoff-Lewis” Type Result for Nonautonomous Hamiltonian Systems

    • Vieri Benci, Donato Fortunato
    Pages 79-84

  6. A Remark on a Priori Bounds and Existence for Periodic Solutions of Hamiltonian Systems

    • Vieri Benci, Paul H. Rabinowitz, Helmut Hofer
    Pages 85-88

  7. On a Class of Nonlinear Problems With Lack of Compactness

    • A. Capozzi
    Pages 89-91

  8. An Old-Fashioned Method in the Calculus of Variations

    • Marc Chaperon
    Pages 93-98

  9. Optimization and Periodic Trajectories

    • Frank H. Clarke
    Pages 99-110

  10. Periodic Solutions of Dynamical Systems with Newtonian Type Potentials

    • Marco Degiovanni, Antonio Marino, Fabio Giannoni
    Pages 111-115

  11. Families of Periodic Solutions Near Equilibrium

    • G. F. Dell’Antonio
    Pages 117-130

  12. Viterbo’s Proof of Weinstein’s Conjecture in R 2n

    • Ivar Ekeland
    Pages 131-137

  13. Global and Local Invariants for Convex Energy Surfaces and their Periodic Trajectories: A Survey

    • I. Ekeland, H. Hofer
    Pages 139-146

  14. Viterbo’s Index and the Morse Index for the Symplectic Action

    • Andreas Floer
    Pages 147-152

  15. Some Problems on the Hamilton-Jacobi Equation

    • Giovanni Gallavotti
    Pages 153-160

  16. Some Results on Periodic Solutions of Mountain Pass Type for Hamiltonian Systems

    • Mario Girardi, Michele Matzeu
    Pages 161-168

  17. Remarks on Periodic Solutions for Some Dynamical Systems With Singularities

    • C. Greco
    Pages 169-173

  18. Cauchy-Riemann Equation in Lagrange Intersection Theory

    • M. Gromov
    Pages 175-176

  19. Modulus of Continuity for Peierls’s Barrier

    • John N. Mather
    Pages 177-202

  20. Chaotic Orbits in the Three Body Problem

    • Richard Moeckel
    Pages 203-219
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Keywords

About this book

This volume contains the proceedings of a NATO Advanced Research Workshop on Periodic Solutions of Hamiltonian Systems held in II Ciocco, Italy on October 13-17, 1986. It also contains some papers that were an outgrowth of the meeting. On behalf of the members of the Organizing Committee, who are also the editors of these proceedings, I thank all those whose contributions made this volume possible and the NATO Science Committee for their generous financial support. Special thanks are due to Mrs. Sally Ross who typed all of the papers in her usual outstanding fashion. Paul H. Rabinowitz Madison, Wisconsin April 2, 1987 xi 1 PERIODIC SOLUTIONS OF SINGULAR DYNAMICAL SYSTEMS Antonio Ambrosetti Vittorio Coti Zelati Scuola Normale Superiore SISSA Piazza dei Cavalieri Strada Costiera 11 56100 Pisa, Italy 34014 Trieste, Italy ABSTRACT. The paper contains a discussion on some recent advances in the existence of periodic solutions of some second order dynamical systems with singular potentials. The aim of this paper is to discuss some recent advances in th.e existence of periodic solutions of some second order dynamical systems with singular potentials.

Editors and Affiliations

  • Department of Mathematics, University of Wisconsin-Madison, USA

    P. H. Rabinowitz

  • Scuola Normale Superiore, Pisa, Italy

    A. Ambrosetti

  • Université de Paris 9 Dauphine, Paris, France

    I. Ekeland

  • Department of Mathematics, Rühr University, Bochum, Germany

    E. J. Zehnder

Bibliographic Information

  • Book Title: Periodic Solutions of Hamiltonian Systems and Related Topics

  • Editors: P. H. Rabinowitz, A. Ambrosetti, I. Ekeland, E. J. Zehnder

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-009-3933-2

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1987

  • Hardcover ISBN: 978-90-277-2553-0Published: 31 July 1987

  • Softcover ISBN: 978-94-010-8245-7Published: 26 September 2011

  • eBook ISBN: 978-94-009-3933-2Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: XI, 284

  • Topics: Analysis

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