Spectra and Normal Forms (SpringerBriefs in Mathematics)

Preface
Contents
1 Spectra and Examples
	1.1 Tempered Spectrum
	1.2 Examples of Tempered Spectra
2 Asymptotic Behavior
	2.1 Linear Dynamics and Lyapunov Exponents
	2.2 Exponentially Decaying Perturbations
3 Resonances and Normal Forms
	3.1 Block-Diagonalization of a Linear Dynamics
	3.2 Construction of Normal Forms
4 Parameter-Dependent Dynamics
	4.1 Linear Perturbations
	4.2 Nonlinear Perturbations
	4.3 General Perturbations
5 The Case of Differential Equations
	5.1 Tempered Spectrum and Lyapunov Exponents
	5.2 Examples of Tempered Spectra
	5.3 Block-Diagonalization of a Linear Dynamics
	5.4 Construction of Normal Forms
6 Infinite-Dimensional Dynamics
	6.1 Structure of the Spectrum
	6.2 Examples of Tempered Spectra
	6.3 Normal Forms
7 Stable and Unstable Foliations
	7.1 Preliminaries
	7.2 Invariant Manifolds
	7.3 Invariant Foliations
8 Construction of Smooth Conjugacies
	8.1 Preparations
	8.2 Bounds for the Perturbations
	8.3 Smooth Linearization
References