This book presents a development of invariant manifold theory for a spe- cific canonical nonlinear wave system -the perturbed nonlinear Schrooinger equation. The main results fall into two parts. The first part is concerned with the persistence and smoothness of locally invariant manifolds. The sec- ond part is concerned with fibrations of the stable and unstable manifolds of inflowing and overflowing invariant manifolds. The central technique for proving these results is Hadamard's graph transform method generalized to an infinite-dimensional setting. However, our setting is somewhat...
This book presents a development of invariant manifold theory for a spe- cific canonical nonlinear wave system -the perturbed nonlinear Schrooinger eq...
This volume includes treatments of systematics and related topics for both fungi and fungus-like organisms in four eukaryotic supergroups, as well as specialized chapters on nomenclature, techniques and evolution. These organisms are of great interest to mycologists, plant pathologists and others, including those interested in the animal parasitic Microsporidia. Our knowledge of the systematics and evolution of fungi has made great strides since the first edition of this volume, largely driven by molecular phylogenetic analyses. Consensus among mycologists has led to a stable systematic...
This volume includes treatments of systematics and related topics for both fungi and fungus-like organisms in four eukaryotic supergroups, as well ...
This volume includes treatments of systematics and related topics for both fungi and fungus-like organisms in four eukaryotic supergroups, as well as specialized chapters on nomenclature, techniques and evolution.
This volume includes treatments of systematics and related topics for both fungi and fungus-like organisms in four eukaryotic supergroups, as well as ...