Nonlinear effects in various areas of science

  • 1132 Pages
  • 3.10 MB
  • English
Harwood Academic Publishers , Chur, Switzerland, New York
Nonlinear theories -- Congre
Statementedited by R.Z. Sagdeev.
SeriesNonlinear and turbulent processes in physics ;, v. 2
ContributionsSagdeev, R. Z.
LC ClassificationsQC20.7.N6 I56 1983 vol. 2
The Physical Object
Paginationxix, p. 655-1132 :
ID Numbers
Open LibraryOL2844645M
ISBN 103718602172
LC Control Number84006680

Non-linear effects appear at many instances in living organisms, and we here take Nonlinear effects in various areas of science book some of the most conspicuous examples, which also are among the most studied ones. As in most of this book, we focus the discussion on basic properties that are relevant for the organisms.

This volume of scientific papers is dedicated with gratitude and esteem to Ronald Rivlin and is offered as a token of appreciation by former students, col­ laborators, and friends. Ronald Rivlin's name is synonymous with modem developments in contin­ uum mechanics. His outstanding pioneeringBrand: Springer US.

(c) NONLINEAR NUMERICAL SOLUTIONS As the various types of computers have become available, it has been possible to integrate nonlinear ordinary differential equations and non linear partial differential equations in two, and later in three, variables. The properties of nonlinear phenomena are defined in opposition to linear ones, and, according to Munné (), they are the following: (1) lack of direct proportionality between cause and effect, (2) presence of undetermination, (3) unpredictability of the phenomenon to be explained, and (4) discontinuity in the processes of means that within nonlinear systems, which are the rule.

Nonlinear Problems of Engineering reviews certain nonlinear problems of engineering. This book provides a discussion of nonlinear problems that occur in four areas, namely, mathematical methods, fluid mechanics, mechanics of solids, and transport phenomena.

This book presents an overview of the most recent advances in nonlinear science. It provides a unified view of nonlinear properties in many different systems and highlights many new developments. While volume 1 concentrates on mathematical theory and computational techniques and challenges, which are essential for the study of nonlinear science.

Nonlinear optics is expected to play a major role in the technology of photonics, which is emerging as a multidisciplinary new frontier of science and technology and is capturing the imagination of scientists and engineers worldwide because of its potential applications to many areas of present and future information and image processing technologies.

Photonics is the analog of electronics in that it. Nonlinear effects are essential to understand the behaviour of nature, and the methods and ideas introduced to treat them are increasingly used in new applications to a variety of problems ranging from physics to human sciences.

Scope of This Book, 6 2. Basis and Formulation of Nonlinear Optics 8 Interaction of Light with a Medium, 8 Light Propagation through an Optical Medium, 10 The Harmonie Oscillator Model for Linear Optical Processes, 12 Nonlinear Optical Media, 15 The Anharmonic Oscillator Model for Nonlinear Optical Effects, New developments in nonlineardynamics, chaos and complexity arecausing a revolution in science.

The exciting development of newconcepts and tools in Nonlinear Science calls for a broad spectrum ofpublications at different levels.

This new series will includemonographs, treatises, edited volumes on a. Nonlinear effects of teaching and consulting 55 The model should be continuous, so the additional requirement dto + dll C = d20+ d2t c, (9b) was imposed. That value of c giving the best fit will then be an estimate of the point at which the slope of the best fit changes from dll to by: About Us.

Journal of Nonlinear Sciences and Applications (J. Nonlinear Sci. Appl.) is an international research journal of rapid publication devoted to the publication of significant articles in all areas and sub-areas of mathematical analysis and ted papers. Get this from a library.

Nonlinear effects in various areas of science. [R Z Sagdeev;]. The mission of the Journal of Nonlinear Science is to publish papers that augment the fundamental ways we describe, model, and predict nonlinear phenomena.

It features papers that make an original contribution to at least one technical area and illuminate issues beyond that area's boundaries.

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Review on theoretical aspect of nonlinear optics On the other hand without an aperture, the mode of measurement is referred to as open aperture Z-Scan. Z-Scan methods yield the real and imaginary parts of nonlinear susceptibility (3) respectively. Usually closed aperture Z-scan data are divided by open aperture data to cancel the effect of Cited by: Nonlinear Effect Spectral Efficiency Phase Match Semiconductor Optical Amplifier Nonlinear Refractive Index These keywords were added by machine and not by the authors.

This process is experimental and the keywords may be updated as the learning algorithm improves. Abstract. Up to this point, we have limited our attention almost exclusively to linear phenomena; that is, to phenomena describable by equations in which the dependent variable occurs to no higher than the first power.

The entire treatment of waves in Chapter 4, for instance, depended on the process of linearization, in which higher-order terms were regarded as small and were neglected.

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Overview of Nonlinear Optics 7 harmonic and the other yields a term with a static field (the frequency dependence cancels out). When the incident photons are different, sum and difference frequency photons are generated. An important criterion for materials to exhibit a susceptibility linear in the field, X2File Size: KB.

This book is not a technical guide to teach mathematical tools of nonlinear analysis, nor a zoology of so-called nonlinear phenomena.

By critically analyzing the structure of linear theories, and clarifying their limitation, this book makes the meaning of "nonlinear" (and, at the same time, of Format: Hardcover. Wave–particle le trapping (Sect. ) is an example of this and can lead to nonlinear damping.A classic example is the quasilinear effect, in which the equilibrium of the plasma is changed by the waves.

Description Nonlinear effects in various areas of science FB2

Consider the case of a plasma with an electron beam (Fig. ).Since the distribution function has a region where df 0 /dv is positive, the system has inverse Landau.

Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well.

As nonlinear aeroelasticity is a combined topic, necessitating expertise from different areas, the book introduces methodologies from a variety of disciplines such as nonlinear dynamics, bifurcation analysis, unsteady aerodynamics, non-smooth systems and others.

Rate this book. Clear rating. 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars. Atlas of the Interpretation of Multispectral Scanner Images: Mss "Fragment," Methodology and Results. avg rating — 0 ratings. Nonlinear Effects in Various Areas of Science/5. Models assuming nonlinear systems however lead to the emergence of new structures that reflect reality much more closely.

This second edition of Nonlinear Science places a strong emphasis on applications to realistic problems. It includes numerous new topics such as empirical results in molecular dynamics, solid-state physics, neuroscience Cited by: Practitioners of nonlinear science, as chaos has become known among experts, also recognize that nonlinear phenomena can exhibit equally surprising orderliness.

For example, certain a priori very complex nonlinear systems, involving many interacting components, can exhibit great regularity in their motion, and coherent structures, such as the. It also complements previous works in that it includes a range of new topics Through the broad range of topics treated, the careful attention to detail in treating both topics familiar to the non-linear community and new research problems, and the historical anecdotes accompanying the development of different areas, the book does a superb job Cited by: His research has been in different aspects of Nonlinear Science, some more theoretical as symmetry and bifurcation theory with application to reaction diffusion systems and some more applied as localized nonlinear waves, reaction rate theory, defects in semiconductors and breathers and kinks in crystals and biological systems as DNA and.

This book aims to bridge the gap between the design/analysis and applications, which are the two research stages on the progress of nonlinear systems and also which open up some new directions of real applications, where chaos can be put up to technological use, including secure communication systems, electronic circuits’ design, memristors.

and current challenges of nonlinear science. At the same time I hope to capture some of the excitement of research in this area. Introduction Let me start from a very simple, albeit circular, definition: nonlinear science is the study of those mathematical systems and natural phenomena that arenot linear.

EverFile Size: 1MB. The nonlinear story unpacks cause and effect, making them irrelevant. The author can weave in and out of scenes without providing the contextual cause and effect material that the linear story demands.

When either becomes necessary, the author provides it. However, the nonlinear format affords greater control of pace and tension. Science 26 Apr Vol.Issuepp. DOI: /scienceCited by: 1.Nonlinear Dynamics provides a forum for the rapid publication of original research in the field.

The journal’s scope encompasses all nonlinear dynamic phenomena associated with mechanical, structural, civil, aeronautical, ocean, electrical, and control systems.FIG. 2 The connection between different high-energy regions in physics and experiments (reprinted with permission from Chen, ).

The interaction of high-intensity laser pulses with plas-mas has applications to other fields of science, e.g. table-top particle accelerators (Bingham, ). Also.