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© 1981

Dynamical Systems and Turbulence, Warwick 1980

Proceedings of a Symposium Held at the University of Warwick 1979/80

  • Editors
  • David Rand
  • Lai-Sang Young
Conference proceedings

Part of the Lecture Notes in Mathematics book series (LNM, volume 898)

Table of contents

  1. Front Matter
    Pages N2-VI
    PDF
  2. Lectures on bifurcation from periodic orbits
    D. D. Joseph, K. Burns
    Pages 1-12
  3. General introduction to steady state bifurcation
    David Schaeffer, John Hayden
    Pages 13-47
  4. Anosov diffeomorphisms with pinched spectrum
    M. Brin, A. Manning
    Pages 48-53
  5. Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case
    Henk Broer
    Pages 54-74
  6. Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension three
    Henk Broer
    Pages 75-89
  7. A C2 Kupka-Smale diffeomorphism of the disk with no sources or sinks
    John Franks, Lai-Sang Young
    Pages 90-98
  8. On a codimension two bifurcation
    John Guckenheimer
    Pages 99-142
  9. Stability and bifurcation in a parabolic equation
    J. K. Hale
    Pages 143-153
  10. Wandering intervals
    J. Harrison
    Pages 154-163
  11. Space- and time-periodic perturbations of the Sine-Gordon equation
    Philip Holmes
    Pages 164-191
  12. Simple computation of bifurcating invariant circles for mappings
    G. Iooss, A. Arneodo, P. Coullet, C. Tresser
    Pages 192-211
  13. Families of vector fields with finite modulus of stability
    I. P. Malta, J. Palis
    Pages 212-229
  14. On the dimension of the compact invariant sets of certain non-linear maps
    Ricardo Mañé
    Pages 230-242
  15. More topological entropy for geodesic flows
    Anthony Manning
    Pages 243-249
  16. Controllability of multi-trajectories on Lie groups
    L. Markus
    Pages 250-265
  17. Characterising diffeomorphisms with modulus of stability one
    W. de Melo, J. Palis, S. J. van Strien
    Pages 266-285
  18. Algebraic Kupka-Smale theory
    J. W. Roblin
    Pages 286-301
  19. Differentiability of the stable foliation for the model Lorenz equations
    Clark Robinson
    Pages 302-315
  20. On the bifurcations creating horseshoes
    Sebastian J. van Strien
    Pages 316-351

About these proceedings

Keywords

Dynamical system Dynamisches System Systems Turbulenz dynamical systems stability turbulence

Bibliographic information

  • Book Title Dynamical Systems and Turbulence, Warwick 1980
  • Book Subtitle Proceedings of a Symposium Held at the University of Warwick 1979/80
  • Editors D. A. Rand
    L.-S. Young
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI https://doi.org/10.1007/BFb0091903
  • Copyright Information Springer-Verlag Berlin Heidelberg 1981
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-11171-9
  • eBook ISBN 978-3-540-38945-3
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VIII, 392
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Theoretical, Mathematical and Computational Physics
    Fluid- and Aerodynamics
  • Buy this book on publisher's site