1. Preface

   • Luca Dieci
   • Don Estep
   • Eric Van de Velde

   OriginalPaper Pages: 1 - 1

2. Stabilization of invariants of discretized differential systems

   • Uri M. Ascher

   OriginalPaper Pages: 1 - 24

3. Numerical approximation of homoclinic chaos

   • W.-J. Beyn
   • J.-M. Kleinkauf

   OriginalPaper Pages: 25 - 53

4. Long periodic shadowing

   • Brian A. Coomes
   • Hüseyin Koçak
   • Kenneth J. Palmer

   OriginalPaper Pages: 55 - 78

5. Lyapunov-type numbers and torus breakdown: numerical aspects and a case study

   • Luca Dieci
   • Jens Lorenz

   OriginalPaper Pages: 79 - 102

6. Successive continuation for locating connecting orbits

   • E. J. Doedel
   • M. J. Friedman
   • B. I. Kunin

   OriginalPaper Pages: 103 - 124

7. Two-dimensional invariant manifolds and global bifurcations: some approximation and visualization studies

   • Mark E. Johnson
   • Michael S. Jolly
   • Ioannis G. Kevrekidis

   OriginalPaper Pages: 125 - 140

8. Nonautonomous systems, cocycle attractors and variable time-step discretization

   • Peter E. Kloeden
   • Björn Schmalfuß

   OriginalPaper Pages: 141 - 152

9. Libration point trajectory design

   • Martin W. Lo

   OriginalPaper Pages: 153 - 164

10. On the stability of the spectral Galerkin approximation

    • Andrei A. Lyashenko

    OriginalPaper Pages: 165 - 178

11. Convergent families of inertial manifolds for convergent approximations

    • James C. Robinson

    OriginalPaper Pages: 179 - 188

12. Inertial manifolds and linear multi-step methods

    • Tony Shardlow

    OriginalPaper Pages: 189 - 209

13. Numerical bifurcation and stability analysis for steady-states of reaction diffusion equations

    • M. W. Smiley

    OriginalPaper Pages: 211 - 225

14. Probabilistic and deterministic convergence proofs for software for initial value problems

    • A. M. Stuart

    OriginalPaper Pages: 227 - 260

15. Homoclinic connections and numerical integration

    • Alexander Tovbis

    OriginalPaper Pages: 261 - 267