Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems

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.- Collision of Control Sets.- The Algorithms Behind GAIO - Set Oriented Numerical Methods for Dynamical Systems.- Polynomial Skew Products.- Transfer Operator Approach to Conformational Dynamics in Biomolecular Systems.- Simulation and Numerical Analysis of Dendritic Growth.- Bifurcation Phenomena and Dynamo Effect in Electrically Conducting Fluids.- Cascades of Homoclinic Doubling Bifurcations.- 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 Selberg's 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 forAutonomous Reaction-Diffusion Systems.- Unconditionally Stable Explicit Schemes for the Approximation of Conservation Laws.- Color Plates.- Author Index.