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Tuesday, July 28, 2020 | History

1 edition of Nonlinear Wave Dynamics found in the catalog.

Nonlinear Wave Dynamics

Complexity and Simplicity

by JГјri Engelbrecht

  • 287 Want to read
  • 40 Currently reading

Published by Springer Netherlands in Dordrecht .
Written in English

    Subjects:
  • Mathematics,
  • Engineering,
  • Materials,
  • Differential equations, partial,
  • Vibration

  • About the Edition

    The general idea advocated in this book is to start from complicated mathematical models describing wave motion as it results from the rules of continuum mechanics and then to find a simpler viewpoint that still keeps everything essential preserved. Special attention is paid to the description of the sources of nonlinearities. The complexities in modelling are demonstrated by several examples including solitons, propagating instabilities and waves in waveguides. The selected case studies show some unconventional approaches in order to explain the richness of nonlinear wave motion. The final chapters are of more general character, including the essays on nonlinearity, beauty, and complexity. In this way, the thread of the analysis is the following: simple basic arguments result in a complicated theory that, in turn, needs certain simplifications in order to grasp the physical phenomena involved. What makes this book special compared to other books in the field is that all the examples are cast into a general philosophical network of complexity and simplicity. Audience: This volume will be of interest to researchers and students whose work involves mathematical modelling of wave phenomena.

    Edition Notes

    Statementby Jüri Engelbrecht
    SeriesKluwer Texts in the Mathematical Sciences -- 17, Kluwer Texts in the Mathematical Sciences -- 17
    Classifications
    LC ClassificationsTA355, TA352-356
    The Physical Object
    Format[electronic resource] :
    Pagination1 online resource (xiv, 183 p.)
    Number of Pages183
    ID Numbers
    Open LibraryOL27077673M
    ISBN 109048148332, 9401588910
    ISBN 109789048148332, 9789401588911
    OCLC/WorldCa851383504

      What would be the best book for me if I want to learn nonlinear dynamics? I have my basics clear in linear differential equations, linear system theory, integral transforms and random process if they suffice as prerequisites. The book describes recent advances in understanding (in the framework of RSW and related models) of some fundamental GFD problems, such as existence of the slow manifold, dynamical splitting of fast (inertia-gravity waves) and slow (vortices, Rossby waves) motions, nonlinear geostrophic adjustment and wave emission, the role of essentially.

    The book offers a collection of original papers and expository articles mainly devoted to the study of nonlinear wave equations. The articles cover a wide range of topics, including scattering theory, dispersive waves, classical field theory, mathematical fluid dynamics, kinetic theory, stability theory, and variational methods. Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows - Ebook written by Andrew Majda, Xiaoming Wang. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows.

      The book describes recent advances in understanding (in the framework of RSW and related models) of some fundamental GFD problems, such as existence of the slow manifold, dynamical splitting of fast (inertia-gravity waves) and slow (vortices, Rossby waves) motions, nonlinear geostrophic adjustment and wave emission, the role of essentially Brand: Elsevier Science. This first of three volumes from the inaugural NODYCON, held at the University of Rome, in February of , presents papers devoted to Nonlinear Dynamics of Structures, Systems and Devices. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation.


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Nonlinear Wave Dynamics by JГјri Engelbrecht Download PDF EPUB FB2

This book marks the 60th birthday of Prof. Vladimir Erofeev – a well-known specialist in the field of wave processes in solids, fluids, and structures. Featuring a collection of papers related to Prof. Erofeev’s contributions in the field, it presents articles on the current problems concerning the theory of nonlinear wave processes in.

Buy Nonlinear Wave Dynamics: Complexity and Simplicity (Texts in the Mathematical Sciences) on FREE SHIPPING on qualified ordersCited by: The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations.

Nonlinear spatio-temporal processes, i. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations.

About this book Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared indue to the increased use of nonlinear waves.

It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves. Introduction to Nonlinear Wave Dynamics.

my Russian book []. 1 Introduction to Nonlinear W ave Dynamics. Sections and of this. “The book is well organized and is written in a precise and lucid style.

It can be recommended to explorers and practitioners in ocean engineering. The book will be interesting for advanced graduate students and researchers in fluid mechanics and its applications to coastal hydrodynamics, wave dynamics and sediment transport.”.

At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us.

At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc.

have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. on the additivity and the proportionality. This graduate-level course provides a unified treatment of nonlinear oscillations and wave phenomena with applications to mechanical, optical, geophysical, fluid, electrical and flow-structure interaction problems.

The book is well organized and is written in a precise and lucid style. It can be recommended to explorers and practitioners in ocean engineering. The book will be interesting for advanced graduate students and researchers in fluid mechanics and its applications to coastal hydrodynamics, wave dynamics and sediment : Hardcover.

While the parameters correspond to physical conditions that can be controlled, the wave dimensions are unknown. Weakly nonlinear theory hence impose a priori assumptions about the wave dynamics.

As such, the resulting equations are only appropriate if the true wave dynamics have length and time scales consistent with the imposed assumptions. Nonlinear water waves: resonance, solitons, focusing, Bose-Einstein condensation, as well as and their relevance for the sea environment (sea-wind interaction, sand bed forms, fiber clustering) Pattern formation in non-equilibrium media: soap films, chimera patterns in oscillating media, viscoelastic Couette-Taylor flow, flow in the wake behind.

Ocean Wave Dynamics is the most up-to-date book of its kind on the three main processes responsible for the generation and evolution of ocean waves: (i) atmospheric input from the wind, (ii) wave breaking and (iii) nonlinear interactions.

Ocean waves are. Dynamics of Nonlinear Wave Equations, One Chapter of the book: Harmonic analysis and wave equations Book September with Reads How we measure 'reads'. Nonlinear Wave Dynamics of Materials and Structures, Hardcover by Altenbach, Holm (EDT); Eremeyev, Victor A.

(EDT); Pavlov, Igor (EDT); Porubov, Alexey V. (EDT), ISBNISBNBrand New, Free shipping in the US This book marks the 60th birthday of Prof. Vladimir Erofeev – a well-known specialist in the field of wave processes Seller Rating: % positive.

Professor Nayfeh is the Editor-in-Chief of the journal Nonlinear Dynamics and the Journal of Vibration and Control. He is the author of Perturbation Methods (Wiley, ), Nonlinear Oscillations (coauthored with Dean T. Mook; Wiley,), Introduction to Perturbation techniques (Wiley, ), Problems in Perturbation (Wiley, ), and Method.

Get this from a library. Nonlinear wave dynamics: complexity and simplicity. [Jüri Engelbrecht] -- The general idea advocated in this book is to start from complicated mathematical models describing wave motion as it results from the rules of continuum mechanics and then to find a.

No one book contains all the relevant material. Here I list several resources, arranged by topic. My personal favorites are marked with a diamond (⋄). Dynamical Systems ⋄S.

Strogatz, Nonlinear Dynamics and Chaos (Addison-Wesley, ) ⋄S. Neil Rasband, Chaotic Dynamics of Nonlinear Systems (Wiley, ) ⋄ Size: 9MB. The selected case studies show some unconventional approaches in order to explain the richness of nonlinear wave motion.

The final chapters are of more general character, including the essays on nonlinearity, beauty, and : $ Experiments and theory have rapidly progressed on nonlinear optical extreme waves, showing that guided wave nonlinear optics and fiber lasers provide a relatively simple, accessible and controllable test bed for the observations and accurate statistical studies of extreme wave phenomena that obey the same universal rules, which apply to a large ensemble of different.

Nonlinear acoustics (NLA) is a branch of physics and acoustics dealing with sound waves of sufficiently large amplitudes.

Large amplitudes require using full systems of governing equations of fluid dynamics (for sound waves in liquids and gases) and elasticity (for sound waves in solids). These equations are generally nonlinear, and their traditional linearization is no longer possible.This book offers a modern, stimulating approach to the subject of nonlinear magnetization dynamics by discussing important aspects such as the Landau-Lifshitz-Gilbert (LLG) equation, analytical solutions, and the connection between the general topological and structural aspects of .Get this from a library!

Nonlinear Wave Dynamics: Complexity and Simplicity. [Jüri Engelbrecht] -- The general idea advocated in this book is to start from complicated mathematical models describing wave motion as it results from the rules of continuum mechanics and then to find a .