**Fields Institute Communications**

Volume: 31;
2002;
353 pp;
Hardcover

MSC: Primary 37;
Secondary 34; 35

Print ISBN: 978-0-8218-2860-1

Product Code: FIC/31

List Price: $120.00

Individual Member Price: $96.00

**Electronic ISBN: 978-1-4704-3055-9
Product Code: FIC/31.E**

List Price: $120.00

Individual Member Price: $96.00

# Differential Equations and Dynamical Systems

Share this page *Edited by *
*A. Galves; J. K. Hale; C. Rocha*

A co-publication of the AMS and Fields Institute

This volume contains contributed papers authored by participants of a Conference on Differential Equations and Dynamical Systems which was held at the Instituto Superior Técnico (Lisbon, Portugal). The conference brought together a large number of specialists in the area of differential equations and dynamical systems and provided an opportunity to celebrate Professor Waldyr Oliva's 70th birthday, honoring his fundamental contributions to the field. The volume constitutes an overview of the current research over a wide range of topics, extending from qualitative theory for (ordinary, partial or functional) differential equations to hyperbolic dynamics and ergodic theory.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

#### Table of Contents

# Table of Contents

## Differential Equations and Dynamical Systems

- Cover Cover11
- Title page iii4
- Contents v6
- Preface vii8
- Photo ix10
- Waldyr Muniz Oliva xi12
- List of participants xiii14
- Total variations and semiconjugacy 116
- Pattern formation from boundary reaction 1328
- Asymptotics of periodic travelling waves of an infinite beam on a nonlinear elastic support 1934
- Variational principles for hyperbolic flows 4358
- Extensive quantities for infinite systems 6580
- Synchronization in herbivorous population models with diffusion and delays 7590
- Approximate solutions in locally integrable structures 97112
- Aspects of rigidity and universality in one-dimensional dynamics 113128
- Stability of periodic solutions arising from Hopf bifurcation for a reaction-diffusion equation with time delay 125140
- On the stability and oscillatory behavior of a retarded functional equation 143158
- Dynamics of piecewise-autonomous bistable parabolic equations 151166
- Intermittency and time arrow in statistical mechanics and turbulence 165180
- Galerkin methods and regularity 173188
- A note on rigid decompositions of reversible mappings 189204
- Periodic solutions of an impulsive differential system with delay: An 𝐿^{𝑝} approach 201216
- Representing Poincaré maps by return times 217232
- Impasse bifurcations of constrained systems 235250
- Multipole series and differential equations 257272
- Cuntz-Krieger algebras arising from linear mod one transformations 265280
- Ordinary differential equations of Morse-Sturm type 275290
- Morse-Smale semiflows, openness and 𝐴-stability 285300
- Constrained Lagrangians and degenerate Hamiltonians on manifolds: An index theorem 309324
- Symbolic dynamics in nonlinear boundary value problems 325340
- A genealogy for kneading sequences of two-piecewise monotonous maps of the interval 333348
- Back Cover Back Cover1370

#### Readership

Graduate students and research mathematicians interested in differential equations, dynamical systems, and ergodic theory and their applications.