Books in the Frontiers in Applied Dynamical Systems: Reviews and Tutorials series

Mathematical models of such multiple-scale systems are considered singular perturbation problems, and this volume focuses on the geometric approach known as Geometric Singular Perturbation Theory (GSPT).It is the first of its kind that introduces the GSPT in a coordinate-independent manner.

Mathematics for a nonsmooth world.- 1930-2010: Nonsmooth dynamics'' linear age.- Discontinuities to model missing knowledge.- Three experiments.- Layers and implementations.- Ideal and non-ideal sliding.- The three experiments revisited.- Further curiosities of hidden dynamics.- Closing remarks: open challenges. 

The aim of this book is to provide a well-structured and coherent overview of existing mathematical modeling approaches for biochemical reaction systems, investigating relations between both the conventional models and several types of deterministic-stochastic hybrid model recombinations.