In this thesis we prove the existence of m-armed spiral wave solutions for the complex Ginzburg-Landau equation in the circular and spherical geometries. Instead of applying the shooting method in the literature, we establish a functional approach and generalize the known results of existence for rigidly-rotating spiral waves. Moreover, we prove the existence of two new patterns: frozen spirals...

Every endofunctor F of Set has an initial algebra and a final coalgebra, but they are classes in general. Consequently, the endofunctor F∞ of the category of classes that F induces generates a completely iterative monad T . And solutions of arbitrary guarded systems of iterative equations w.r.t. F exist, and can be found in naturally defined subsets of the classes TY . More generally, starting ...

aim and background: it has since long been known that there is strong relation between   psychological status and functional gastrointestinal disorders (fgid). however, until recently, the nature of this putative relationship was unclear due to a lack of non-invasive methods to investigate the neurobiological mechanisms underlying this relationship.  functional brain imaging has provided a meth...