Dynamical Systems

1. Front Matter

   Pages I-VI

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2. Bifurcationss of codimension one singularities of tangent vector fields on Whitney's umbrella

   • J. Billeke, M. Wallace

   Pages 1-11

3. Hereroclinic bifurcation in banach spaces

   • M. Blázquez, E. Tuma

   Pages 12-37

4. Quasi-homogeneous vector fields of degree 2 in ℝ3

   • M. I. Camacho

   Pages 38-46

5. Hausdorff dimension of the singularities for invariant measures of expanding dynamical systems

   • P. Collet

   Pages 47-58

6. Codimension on Anosov flows and suspensions

   • Etienne Ghys

   Pages 59-72

7. Foliations on surfaces having exceptional leaves

   • Carlos Gutiérrez

   Pages 73-85

8. The hausdorff dimension of invariant probabilities of rational maps

   • Ricardo Mañé

   Pages 86-117

9. Asymptotic behavior of solutions to abstract evolution equations

   • Peter Miletta

   Pages 118-139

10. Developpement asymptotique de l'application retour d'un polycycle

    • R. Moussu

    Pages 140-149

11. On the continuity of Hausdorff dimension and limit capacity for horseshoes

    • J. Palis, M. Viana

    Pages 150-160

12. A note on finite cyclicity property and Hilbert's 16th. Problem

    • R. Roussarie

    Pages 161-168

13. Vector fields near the boundary of a 3-manifold

    • J. Sotomayor, M. A. Teixeira

    Pages 169-195

14. Limit capacity and hausdorff dimension of dynamically defined cantor sets

    • Floris Takens

    Pages 196-212

15. Intermittancy: Global aspects

    • Floris Takens

    Pages 213-239

16. Normal forms for deterministic and stochastic systems

    • Enrique Triapegui

    Pages 240-250

17. Back Matter

    Pages 251-254

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This volume contains original research papers on topics central to Dynamical Systems, such as fractional dimensions (Hausdorff dimension, limity capacity) and limit cycles of polynomial vector fields concerning the well-known Dulac and Hilbert's 16th problems. Stability and bifurcations, intermittency, normal forms, Anosov flows and foliations are also themes treated in the papers. Many of the authors are renowned for their important contributions to the field. This volume should be of much interest to people working in dynamical systems, including, physicists, biologists and engineers.

• banach spaces
• bifurcation
• dynamical systems
• manifold
• stability

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