Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations

Focusing on the perturbed nonlinear Schrödinger equation, the book explores invariant manifold theory, detailing both the persistence and smoothness of locally invariant manifolds and the fibrations of stable and unstable manifolds. Utilizing Hadamard's graph transform method in an infinite-dimensional context, it presents thorough proofs and insights into the complexities of infinite-dimensional, non-compact invariant manifolds. Organized into four chapters, the text reflects years of research on homoclinic chaos, offering foundational theorems for further study in the field.