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6 Mathematical Preliminaries
Part II provides mathematical formulations of the models, the assumptions that underlie them, their weak or variational formulations and the...
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11 Contact with Wear or Adhesion
In this chapter we present results on models of frictional contact when the wear of the contacting surfaces is taken into account. The importance of...
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3 Additional E.ects Involved in Contact
More is involved in contact than just friction, although it is the main process. Indeed, during a contact process elastic or plastic deformations of...
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Infrared Model Dielectric Functions
This chapter reviews a selection of dielectric function models progressed for lineshape analysis of (far) infrared ellipsometry data. Contributions...
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Coherent Elastic Nuclear Resonant Scattering
In the field of x-ray diffraction, the intensity and the direction of scattered waves are determined by the properties of the individual scatterers...
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1 Introduction
Considerable progress has been achieved recently in modeling and mathematical analysis of various processes involved in contact between deformable...
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Introduction
The scattering of x-rays is a very powerful tool to investigate the structure and dynamics of condensed matter. The research in this field can be...
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Outlook and Perspectives
Nuclear resonant scattering has significantly benefitted from the development of third-generation synchrotron radiation sources. This trend will...
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Methods and Instrumentation
On the basis of the given brilliances of present-day synchrotron radiation sources one easily estimates that they should be ideally suited for...
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Zincblende-Structure Materials (III–V)
The following chapters will provide different examples including various semiconductor materials of contemporary interest and with diverse...
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Ultrafast Scanning Tunneling Microscopy: Principles and Applications
The growing field of nanotechnology requires special tools capable of probing ultrafast surface dynamics on atomic scales in order to unveil...
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Simulating a Motorcycle Driver
Controlling a riderless bicycle or motorcycle is a challenging problem because the dynamics are nonlinear and non-minimum phase. Further difficulties...
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Minimax Nonlinear Control under Stochastic Uncertainty Constraints
We consider in this paper a class of stochastic nonlinear systems in strict feedback form, where in addition to the standard Wiener process there is...
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Terahertz Radiation from Semiconductors
We provide a review of the different schemes for generating terahertz (THz) radiation using photoconductive emitters excited by femtosecond...
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Spontaneous Emission from Semiconductors After Ultrafast Pulse Excitation: Theory and Simulation
In this chapter, we review the recent progress in the theoretical description of ultrafast phenomena in the spontaneous emission of pulse-excited...
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Stability of Nonlinear Hybrid Systems
This work is devoted to stability of nonlinear hybrid systems (or nonlinear systems with regime switching). The switching regime is described by a...
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Symmetries and Minimal Flat Outputs of Nonlinear Control Systems
Consider a nonlinear control system of the form $\Pi : \dot{x}=F(x,u)$ ,...
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On Absolute Stability of Convergence for Nonlinear Neural Network Models
This paper deals with a class of large-scale nonlinear dynamical systems, namely the additive neural networks. It is well known that convergence of...
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Gyroscopic Forces and Collision Avoidance with Convex Obstacles
This paper introduces gyroscopic forces as an tool that can be used in addition to the use of potential forces in the study of collision and convex...
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The Uncertain Generalized Moment Problem with Complexity Constraint
This paper is dedicated to Arthur Krener – a great researcher, a great teacher and a great friend – on the occasion of his 60th birthday. In this...