edited by Bernold Fiedler (Free University of Berlin) , Konrad Gröger (Humboldt University of Berlin) , & Jürgen Sprekels (Weierstrass Institute for Applied Analysis & Stochastics, Berlin)

This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences.

• Volume 1:
  • Celestial Mechanics
  • Homoclinic Tangencies
  • Singular Perturbations
  • Stochastic Systems
  • Symmetry
  • Topological Methods and Conley Index
  • Delay Equations
  • Geometric Dynamics
  • Hyperbolic Conservation Laws
  • Hyperbolic Wave Equations
  • Hysteresis
  • Large Domains
  • Lattice Dynamical Systems
  • Microstructure
  • Nonlinear Functional Analysis
  • Variational Methods
  • Viscosity Solutions
  • Global Attractors and Limits
  • Nonautonomous Attractors
  • Order-Preserving Dynamical Systems
  • Qualitative Theory of Parabolic Equations
  • Stability of Fronts and Pulses
• Volume 2:
  • Computer Algebra Tools
  • Control and Optimization
  • Dynamics and Algorithms
  • Exponentially Small Phenomena
  • Geometric Integrators
  • Numerical Ergodic Theory
  • Numerics of Dynamics
  • Chemistry
  • Chemotaxis, Cross-Diffusion, and Blow-Up
  • Industrial Applications
  • Mechanics
  • Models in Biology, Medicine, and Physiology
  • Molecular Modelling
  • Patterns
  • Semiconductors
  • Steady Water Waves
  • Unsteady Hydrodynamic Waves
  • Delay Equations
  • Numerics
  • Ordinary Differential Equations
  • Partial Differential Equations