Advances in Dynamics, Optimization and Computation

This book presents a collection of papers on recent advances in problems concerning dynamics, optimal control and optimization. In many chapters, computational techniques play a central role. Set-oriented techniques feature prominently throughout the book, yielding state-of-the-art algorithms for computing general invariant sets, constructing globally optimal controllers and solving multi-objective optimization problems.

Highlights recent research on Set-Oriented Numerics Gathers the proceedings of the Workshop on Dynamics, Optimization and Computation held in honor of Michael Dellnitz's 60th birthday Written by respected experts in the field

Inhalt
A continuation approach to computing phase resetting curves.- Input-output networks, singularity theory, and homeostasis.- The approximation of invariant sets in innite dimensional dynamical systems.- Set-oriented and nite-element study of coherent behavior in Rayleigh-Benard convection.- Singular value decomposition of operators on Reproducing Kernel Hilbert Spaces.- A weak characterization of slow variables in stochastic dynamical systems.- Analysis and simulation of extremes and rare events in complex systems.- Dynamical systems theory and algorithms for NP-hard problems.<p