This book is aimed at mathematicians, scientists, and engineers, studying models that involve a discontinuity, or studying the theory of nonsmooth systems for its own sake. It is divided in two complementary courses: piecewise smooth flows and maps, respectively. Starting from well known theoretical results, the authors bring the reader into the latest challenges in the field, going through stability analysis, bifurcation, singularities, decomposition theorems and an introduction to kneading theory. Both courses contain many examples which illustrate the theoretical concepts that are introduced.
Presents classical theory and some of the newest techniques
Discusses a number of future challenges
Authored by two highly recognized experts
Presents classical theory and some of the newest techniques Discusses a number of future challenges Authored by two highly recognized experts
Paul Glendinning
piecewise smooth switching layer boundary bifurcation hidden dynamics gap map gluing bifurcation higher dimensional attractors ordinary differential equations