Cover of: Singularities and Oscillations | Jeffrey Rauch

Singularities and Oscillations

  • 158 Pages
  • 0.13 MB
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  • English
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Springer New York , New York, NY
Mathematics, Global analysis (Mathema
About the Edition

The study of singularities and oscillations of waves has progressed along several fronts. A key common feature is the presence of a small scale in the solutions. Recent emphasis has been on nonlinear waves. Nonlinear problems are generally less amenable than linear problems to broad unified approaches. As a result there is a justifiable tendency to concentrate on problems of particular geometric or physical interest. This volume contains a multiplicity of approaches brought to bear on problems varying from the formation of caustics and the propagation of waves at a boundary to the examination of viscous boundary layers. There is an examination of the foundations of the theory of high- frequency electromagnetic waves in a dielectric or semiconducting medium. Unifying themes are not entirely absent from nonlinear analysis. One chapter in the volume considers microlocal analysis, including paradifferential operator calculus, on Morrey spaces, and connections with various classes of partial differential equations.

Statementedited by Jeffrey Rauch, Michael Taylor
SeriesThe IMA Volumes in Mathematics and its Applications -- 91, IMA volumes in mathematics and its applications -- 91.
ContributionsTaylor, Michael
Classifications
LC ClassificationsQA299.6-433
The Physical Object
Format[electronic resource] /
Pagination1 online resource (ix, 158 pages).
ID Numbers
Open LibraryOL27087736M
ISBN 101461273625, 1461219728
ISBN 139781461273622, 9781461219729
OCLC/WorldCa853267002

About this book This IMA Volume in Mathematics and its Applications SINGULARITIES AND OSCILLATIONS is based on the proceedings of a very successful one-week workshop with the same title, which was an integral part of the IMA program on "Waves and : Springer-Verlag New York.

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Free 2-day shipping. Buy IMA Volumes in Mathematics and Its Applications: Singularities and Oscillations (Hardcover) at This IMA Volume in Mathematics and its Applications SINGULARITIES AND OSCILLATIONS is based on the proceedings of a very successful one-week workshop with the same title, which was an integral part of the IMA program on "Waves and Scattering.

Singularities and oscillations. [Jeffrey Rauch; Michael E Taylor;] -- "This volume contains a multiplicity of approaches brought to bear on problems varying from the formation of caustics and the propagation of waves at a boundary to the examination of viscous boundary.

The study of singularities and oscillations of waves has progressed along several fronts.

Details Singularities and Oscillations FB2

A key common feature is the presence of a small scale in the solutions. Recent emphasis has Singularities and Oscillations book on nonlinear waves. Nonlinear problems are generally less amenable than linear problems to broad unified approaches.

The book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, SeptemberThe contributions discuss recent major advances in the study of nonlinear hyperbolic systems, addressing general theoretical issues such as symmetrizability, singularities, low.

The theory of singularities lies at the crossroads between those branches of mathematics which are the most abstract and those which are the most applied. Algebraic and differential geometry and topology, commutative algebra and group theory are as intimately connected to singularity theory as are dynamical systems theory, control theory Format: Hardcover.

Home / Download Center / Electrical Engineering Books and Technical Guides / Singularities and Oscillations book Electric Cahiers Techniques / The singularities of the third harmonic In installations where the neutral is distributed, non-linear loads may cause significant overloads in this conductor due to the presence of the third harmonic.

1 ME INTRODUCTION TO BIFURCATIONS AND CHAOS (Spring ) Instructor: Anil K Bajaj, School of Mechanical Engineering, Office: Room ME A: Phone # Time and Place: pm (MW), Room ME Text Book: (1) Troger, H.

and Steindl, A.: Nonlinear Stability and Bifurcation Theory: An Introduction for Scientists and Engineers, Springer-Verlag, File Size: KB.

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Tata McGraw-Hill Education The Physics of Waves and Oscillations. Bajaj. Tata McGraw-Hill Education, 4/5(10). Introduction to Analysis in Several Variables, American y, Providence RI, to appear.

Introduction to Analysis in One Variable, American y, Providence RI, to appear. Establishing uniform control on both norms would allow one to extract a strongly convergent sub- R.J. DiPerna/Singularities and oscillations in solutions to conservation laws sequence and pass to the limit in the nonlinear flux function by: 4.

Singularity detection and processing with wavelets Abstract: The mathematical characterization of singularities with Lipschitz exponents is reviewed. Theorems that estimate local Lipschitz exponents of functions from the evolution across scales of their wavelet transform are reviewed.

It makes use of concepts such as canards, folded singularities, and mixed-mode oscillations. Although applied here to pituitary cells, the approach can and has been used to study mixed-mode oscillations in other systems, including neurons, intracellular calcium dynamics, and chemical by: 1.

This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators are covered, together with appropriate experimental studies using nonlinear electronic circuits.

Recent exciting developments in chaos research are also discussed. This chapter discusses the singularities of Newtonian gravitational systems. One of the unresolved questions of the n-body problem of celestial mechanics is the interpretation of a singularity at time t ═ t chapter reviews a portion of the history to show the current status of the problem, to show the nature of the motion of a singularity if the conjecture is false, and Cited by: 7.

The extreme phases of CISO characterize summer monsoon singularities. In the context of weather and climate, singularity is an event that occurs on or near a fixed date with usual regularity. The concept of summer monsoon singularity is important and useful for describing and understanding temporal structures of monsoon climate and variability Cited by: The oscillations are also shown by AbsArgPlot, which also shows that the absolute value approaches zero at constant rates from either side.

Based on the behavior along the real axis, it might be thought that the function converges to zero at the origin. oscillation formalism enabling to evidence the presence of oscillat-ing singularities in real data.

It is first validated on synthetic data both with and without oscillating singularities and second applied to high quality 1D velocity turbulence data.

This constitutes the first quantitative evidence against the presence of oscillating. (The author got hold of a book on superstiing theory wbilt Ulc present paper was still being encoded. It" was a pleasant surprise to know that the mathematic; he had been doing in the last two years, including this paper, fit.-; snugly into the theory.

However, rather than upgrade tllis paper with the newFile Size: 1MB. Relaxation Oscillations in amplifying or absorbing-good or bad Fabry-Perot cavities are analyzed in terms of the dynamic Stark effect in an equivalent two-level system.

Chekhov. "On the road" In this book a start is made to the "zoology" of the singularities of differentiable maps. This theory is a young branch of analysis which currently occupies a central place in mathematics; it is the crossroads of paths leading from very abstract corners of mathematics (such as algebraic and differential geometry.

Duration: From to ,grantagreementsigned Total cost: Eur 1 Eu contribution: Eur 1 Objective: The emergence of singularities, Such as oscillations and concentrations, Is at the heart of some of the most intriguing problems in the theory of nonlinear pdes.

Buy Topological Nonlinear Analysis: Degree, Singularity, and Variations (Progress in Nonlinear Differential Equations and Their Applications) on FREE SHIPPING on Cited by:   The power law singularity results from the increasing growth rate.

The oscillations result from the restoring mechanism. As a function of the order of the nonlinearity of the growth rate and of the restoring term, a rich variety of. Relaxation oscillation in ℝ3.

(see the book written by Dumortier for theoretical backgrounds). folded singularities, and mixed-mode oscillations. A gravitational singularity, spacetime singularity or simply singularity is a location in spacetime where the gravitational field of a celestial body is predicted to become infinite by general relativity in a way that does not depend on the coordinate system.

This book presents the theory of waves and oscillations and various applications of acoustics in a logical and simple form.

The physical principles have been explained with necessary mathematical formulation and supported by experimental layout wherever possible. Incorporating the classical view point all aspects of acoustic waves and oscillations have been discussed.

Tbis book is intended to provide a few asymptotic methods which can be applied to the dynamics of self-oscillating fields of the reaction-diffusion type and of some related systems.

Description Singularities and Oscillations EPUB

Such systems, forming cooperative fields of a large num­ of interacting similar subunits, are considered as. That looks a lot more like reality than all the talk of impending financial singularity.

Markets seem to be driven by stories, as I emphasise in my book. oscillations, which seems to be di erent from standard Farey sequence reported e.g. by Petrov et al. (). The key di erence is the fact that in the system (1) we can easily nd a periodic solution with more than two large oscillations in a row.

In fact, it seems to be very di cult to nd a MMO with only one large : E. Kutafina.The oscillations observed via the singularities are compared to those obtained by a classical stationary phase analysis of the solution as the dispersion parameter.

A uniform asymptotic expansion as of the dispersive solution is derived in terms of the Pearcey integral in a neighbourhood of the by: An oscillating electric dipole in free space emits its energy along straight lines.

We have considered the effect of a nearby interface with a material medium. Interference between the directly emitted radiation and the reflected radiation leads to intricate flow line patterns.

When the interface is a plane mirror, numerous interference vortices appear, and when the distance Author: Xin Li, Henk F. Arnoldus, Zhangjin Xu.