Real and Complex Dynamical Systems

1. Front Matter

   Pages i-xvii

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2. Dynamical Zeta Functions

   • Viviane Baladi

   Pages 1-26

3. The Global Dynamics of Impact Oscillators

   • Chris Budd

   Pages 27-46

4. Grazing in Impact Oscillators

   • Chris Budd

   Pages 47-63

5. Topological Entropy of Unimodal Maps

   • Adrien Douady

   Pages 65-87

6. Hénon Mappings in the Complex Domain

   • John H. Hubbard, Ralph W. Oberste-Vorth

   Pages 89-132

7. Symbolic Dynamics, Group Automorphisms and Markov Partitions

   • Bruce Kitchens

   Pages 133-163

8. A Monotonicity Conjecture for Real Cubic Maps

   • Silvina P. Dawson, Roza Galeeva, John Milnor, Charles Tresser

   Pages 165-183

9. Dynamics of Ordinary Differential Equations

   • Colin Sparrow

   Pages 185-210

10. Real Bounds in Complex Dynamics

    • Sebastian van Strien

    Pages 211-229

11. Homoclinic Bifurcations and Strange Attractors

    • Marcelo Viana

    Pages 231-264

12. Introduction to Hyperbolic Dynamics

    • Jean-Christophe Yoccoz

    Pages 265-291

13. Ergodic Theory of Differentiable Dynamical Systems

    • Lai-Sang Young

    Pages 293-336

14. Back Matter

    Pages 337-344

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This volume contains edited versions of 11 contributions given by main speakers at the NATO Advanced Study Institute on lReal and Complex Dynamical Systems in Hiller0d, Denmark, June 20th - July 2nd, 1993. The vision of the institute was to illustrate the interplay between two important fields of Mathematics: Real Dynamical Systems and Complex Dynamical Systems. The interaction between these two fields has been growing over the years. Problems in Real Dynamical Systems have recently been solved using complex tools in the real or by extension to the complex. In return, problems in Complex Dynamical Systems have been settled using results from Real Dynamical Systems. The programme of the institute was to examine the state of the art of central parts of both Real and Complex Dynamical Systems, to reinforce contact between the two aspects of the theory and to make recent progress in each accessible to a larger group of mathematicians.

• Dynamical system
• differential equation
• dynamical systems
• ergodic theory
• ordinary differential equation

• Mathematical Institute, The Technical University of Denmark, Lyngby, Denmark

  Bodil Branner, Poul Hjorth

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