Ergodic theory, analysis andefficient simulation of dynamical systems

Contents

• Random Attractors: Robustness, Numerics and Chaotic Dynamics
• Self-Similar Measures
• Continuation of Low-Dimensional Invariant Subspaces in Dynamical Systems of Large Dimension
• On Hybrid Methods for Bifurcation and Center Manifolds for General Operators
• Dimension Theory of Smooth Dynamical Systems
• Cascades of Hoinoclinic Doubling Bifurcations
• Bifurcation Phenomena and Dynamo Effect in Electrically Conducting Fluids
• Simulation and Numerical Analysis of Dendritic Growth
• Transfer Operator Approach to Conformational Dynamics in Biomolecular Systems
• Polynomial Skew Products
• The Algorithms Behind GAIO - Set Oriented Numerical Methods for Dynamical Systems
• Collision of Control Sets
• Existence, Bifurcation, and Stability of Profiles for Classical and Non-Classical Shock Waves
• Dynamical Systems of Population Dynamics
• Topological and Measurable Dynamics of Lorenz Maps
• Three-Dimensional Steady Capillary-Gravity Waves
• Discretization, Inflation and Perturbation of Attractors
• Aspects on Data Analysis and Visualization for Complicated Dynamical Systems
• Non-Smooth Dynamical Systems: An Overview
• Forced Symmetry Breaking and Relative Periodic Orbits
• On Dynamics and Bifurcations of Nonlinear Evolution Equations Under Numerical Discretization
• Evolution of Microstructure: an Example
• An Extension of the Thermodynamic Formalism Approach to Selbergs Zeta Function for General Modular Groups
• Stability and Diffusive Dynamics on Extended Domains
• Dimension Estimates for Invariant Sets of Dynamical Systems
• On the Inverse Problem of Fractal Compression
• The Orbit Space Method: Theory and Application
• Multi-Pulse Homoclinic Loops in Systems with a Smooth First Integral
• Quantum Chaos and Quantum Ergodicity
• Periodic Orbits and Attractors for Autonomous ReactionDiffusion Systems
• Unconditionally Stable Explicit Schemes for the Approximation of Conservation Laws
• Color Plates
• Author Index.