Spectral Theory for Perturbed Systems
β Scribed by Fritz Colonius; Wolfgang Kliemann
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 216 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0936-7195
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
This paper presents an overview of topological, smooth, and control techniques for dynamical systems and their interrelations for the study of perturbed systems. We concentrate on spectral analysis via linearization of systems. Emphasis is placed on parameter dependent perturbed systems and on a comparison of the Markovian and the dynamical structure of systems with Markov diffusion perturbation process. A number of applications is provided (Β© 2009 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
π SIMILAR VOLUMES
The analytic structure of the renormalized energy of the quartic anharmonic oscillator described by the Hamiltonian H= p 2 +x 2 +;x 4 is discussed and the dispersion relation for the renormalized energy is found. It follows from the analytic structure that the renormalized strong coupling expansion
We present a method to analyze dynamical systems undergoing random perturbations based on the cell mapping approach. Analytical expressions are derived for the transition probabilities from the evolution operator of the system. Thus there is no need for simulation of randomness and the numerical app
## Abstract We study spectral properties of boundary integral operators which naturally arise in the study of the Maxwell system of equations in a Lipschitz domain Ξ© β β^3^. By employing Rellichβtype identities we show that the spectrum of the magnetic dipole boundary integral operator (composed wi
## Abstract In this paper we give integral conditions for the stability of the absolutely continuous spectrum for the fractional Laplacian __H__~0~ = , where __Ξ±__ β (0, 2), perturbed by an unbounded obstacle Ξ β **R**^__d__^ . We use the stochastic representation of the associated semigroups to de