Introduction Instabilities in one space dimension Stationary radially symmetric patterns Time-periodic radially symmetric patterns Discussion Bibliography.
This book deals with the theory of Poincar--Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie point symmetries, and not just on symmetries acting linearly. Some results on the simultaneous normalization of a vector field describ…
Deals with the qualitative theory of dynamical systems, focusing on the study of flows and cascades in the vicinity of a smooth invariant manifold; and presents results concerning the existence of stable and unstable local manifolds.
This book deals with the qualitative theory of dynamical systems and is devoted to the study of flows and cascades in the vicinity of a smooth invariant manifold. Its main purpose is to present, as completely as possible, the basic results concerning the existence of stable and …
