Nonlinear Waves And Pattern Dynamics

Author : Nizar Abcha,Efim Pelinovsky,Innocent Mutabazi
Publisher : Springer
Page : 229 pages
File Size : 54,7 Mb
Release : 2018-04-20
Category : Science
ISBN : 9783319781938

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Nonlinear Waves and Pattern Dynamics by Nizar Abcha,Efim Pelinovsky,Innocent Mutabazi Pdf

This book addresses the fascinating phenomena associated with nonlinear waves and spatio-temporal patterns. These appear almost everywhere in nature from sand bed forms to brain patterns, and yet their understanding still presents fundamental scientific challenges. The reader will learn here, in particular, about the current state-of-the art and new results in: 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 a heated cylinder, other pattern formation. The editors and authors dedicate this book to the memory of Alexander Ezersky, Professor of Fluid Mechanics at the University of Caen Normandie (France) from September 2007 to July 2016. Before 2007, he had served as a Senior Scientist at the Institute of Applied Physics of the Russian Academy of Sciences in Nizhny Novgorod (Russia). The chapters have been written by leading scientists in Nonlinear Physics, and the topics chosen so as to cover all the fields to which Prof. Ezersky himself contributed, by means of experimental, theoretical and numerical approaches. The volume will appeal to advanced students and researchers studying nonlinear waves and pattern dynamics, as well as other scientists interested in their applications in various natural media.

Author : Nizar Abcha,Innocent Mutabazi,E. N. Pelinovskiĭ
Publisher : Unknown
Page : 128 pages
File Size : 41,6 Mb
Release : 2018
Category : Field theory (Physics)
ISBN : 3319781944

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Nonlinear Waves and Pattern Dynamics by Nizar Abcha,Innocent Mutabazi,E. N. Pelinovskiĭ Pdf

This book addresses the fascinating phenomena associated with nonlinear waves and spatio-temporal patterns. These appear almost everywhere in nature from sand bed forms to brain patterns, and yet their understanding still presents fundamental scientific challenges. The reader will learn here, in particular, about the current state-of-the art and new results in: 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 a heated cylinder, other pattern formation. The editors and authors dedicate this book to the memory of Alexander Ezersky, Professor of Fluid Mechanics at the University of Caen Normandie (France) from September 2007 to July 2016. Before 2007, he had served as a Senior Scientist at the Institute of Applied Physics of the Russian Academy of Sciences in Nizhny Novgorod (Russia). The chapters have been written by leading scientists in Nonlinear Physics, and the topics chosen so as to cover all the fields to which Prof. Ezersky himself contributed, by means of experimental, theoretical and numerical approaches. The volume will appeal to advanced students and researchers studying nonlinear waves and pattern dynamics, as well as other scientists interested in their applications in various natural media.

Author : Andrei V. Gaponov-Grekhov,Mikhail I. Rabinovich,Jüri Engelbrecht
Publisher : Springer Science & Business Media
Page : 250 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642742897

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Nonlinear Waves 1 by Andrei V. Gaponov-Grekhov,Mikhail I. Rabinovich,Jüri Engelbrecht Pdf

Since 1972 the Schools on Nonlinear Physics in Gorky have been a meeting place for Soviet scientists working in this field. Instead of producing for the first time English proceedings it has been decided to present a good cross section of nonlinear physics in the USSR. Thus the participants at the last School were invited to provide English reviews and research papers for these two volumes (which in the years to come will be followed by the proceedings of forthcoming schools). The first volume starts with a historical overview of nonlinear dynamics from Poincaré to the present day and touches topics like attractors, nonlinear oscillators and waves, turbulence, pattern formation, and dynamics of structures in nonequilibrium dissipative media. It then deals with structures, bistabilities, instabilities, chaos, dynamics of defects in 1d systems, self-organizations, solitons, spatio-temporal structures and wave collapse in optical systems, lasers, plasmas, reaction-diffusion systems and solids.

Author : J. Engelbrecht
Publisher : Springer Science & Business Media
Page : 197 pages
File Size : 45,5 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9789401588911

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Nonlinear Wave Dynamics by J. Engelbrecht Pdf

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. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc.

Author : Andrei V. Gaponov-Grekhov,Mikhail I. Rabinovich,Jüri Engelbrecht
Publisher : Springer
Page : 260 pages
File Size : 44,9 Mb
Release : 1989-08-10
Category : Science
ISBN : STANFORD:36105030647403

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Nonlinear Waves 1 by Andrei V. Gaponov-Grekhov,Mikhail I. Rabinovich,Jüri Engelbrecht Pdf

Since 1972 the Schools on Nonlinear Physics in Gorky have been a meeting place for Soviet scientists working in this field. Instead of producing for the first time English proceedings it has been decided to present a good cross section of nonlinear physics in the USSR. Thus the participants at the last School were invited to provide English reviews and research papers for these two volumes (which in the years to come will be followed by the proceedings of forthcoming schools). The first volume starts with a historical overview of nonlinear dynamics from Poincaré to the present day and touches topics like attractors, nonlinear oscillators and waves, turbulence, pattern formation, and dynamics of structures in nonequilibrium dissipative media. It then deals with structures, bistabilities, instabilities, chaos, dynamics of defects in 1d systems, self-organizations, solitons, spatio-temporal structures and wave collapse in optical systems, lasers, plasmas, reaction-diffusion systems and solids.

Author : Andrei V. Gaponov-Grekhov,Mikhail I. Rabinovich,Jüri Engelbrecht
Publisher : Springer Science & Business Media
Page : 187 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642743665

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Nonlinear Waves by Andrei V. Gaponov-Grekhov,Mikhail I. Rabinovich,Jüri Engelbrecht Pdf

Since 1972 the Schools on Nonlinear Physics in Gorky have been a meeting place for Soviet scientists working in this field. Instead of producing for the first time English proceedings it has been decided to present a good cross section of nonlinear physics in the USSR. Thus the participants at the last School were invited to provide English reviews and research papers for these two volumes (which in the years to come will be followed by the proceedings of forthcoming schools). The second volume deals with dynamical chaos in classical and quantum systems, with evolution in chemical systems and self-organisation in biology, and with applications of nonlinear dynamics to condensed matter, sea waves, and astrophysics.

Author : Kirchgassner K,Mielke Alexander
Publisher : World Scientific
Page : 428 pages
File Size : 45,8 Mb
Release : 1995-08-31
Category : Electronic
ISBN : 9789814549776

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Structure And Dynamics Of Nonlinear Waves In Fluids: Proceedings Of The Iutam/isimm Symposium by Kirchgassner K,Mielke Alexander Pdf

This symposium brought together mechanicians, physicists and applied mathematicians to discuss the interdisciplinary topic of nonlinear wave motion, which displays effects that give rise to a multitude of unanswered questions. Nonlinear waves in fluids in particular display all the prominent nonlinear phenomena such as chaos, turbulence and pattern formation. Amongst the topics emphasized in these proceedings are: travelling fronts, solitary waves and periodic waves (dissipative and conservative); temporal and spatial asymptotics of perturbations of waves; bifurcations, stability and local dynamics of waves; interaction between different waves, and between waves and the mean flow; wave breaking, nonlinear effects on focussing and diffraction; modulation and envelope equations (their derivation and validity); and numerical and experimental results.

Author : T. Nishida,M. Mimura,H. Fujii
Publisher : Elsevier
Page : 691 pages
File Size : 42,6 Mb
Release : 2011-09-22
Category : Mathematics
ISBN : 0080875394

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Patterns and Waves by T. Nishida,M. Mimura,H. Fujii Pdf

Part I of this volume surveys the developments in the analysis of nonlinear phenomena in Japan during the past decade, while Part II consists of up-to-date original papers concerning qualitative theories and their applications. Dealt with here are nonlinear problems related to general analysis, fluid dynamics, mathematical biology and computer sciences, and their underlying mathematical structures, e.g. nonlinear waves and propagations, bifurcation phenomena, chaotic phenomena, and fractals. The volume is dedicated to Professor Masaya Yamaguti in celebration of his 60th birthday.

Author : Maged Marghany
Publisher : Elsevier
Page : 464 pages
File Size : 47,8 Mb
Release : 2021-02-09
Category : Science
ISBN : 9780128209257

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Nonlinear Ocean Dynamics by Maged Marghany Pdf

Nonlinear Ocean Dynamics: Synthetic Aperture Radar delivers the critical tools needed to understand the latest technology surrounding the radar imaging of nonlinear waves, particularly microwave radar, as a main source to understand, analyze and apply concepts in the field of ocean dynamic surface. Filling the gap between modern physics quantum theory and applications of radar imaging of ocean dynamic surface, this reference is packed with technical details associated with the potentiality of synthetic aperture radar (SAR). The book also includes key methods needed to extract the value-added information necessary, such as wave spectra energy, current pattern velocity, internal waves, and more. This book also reveals novel speculation of a shallow coastal front: named as Quantized Marghany's Front. Rounding out with practical simulations of 4-D wave-current interaction patterns using using radar images, the book brings an effective new source of technology and applications for today’s coastal scientists and engineers. Solves specific problems surrounding the nonlinearity of ocean surface dynamics in synthetic aperture radar data Helps develop new algorithms for retrieving ocean wave spectra and ocean current movements from synthetic aperture radar Includes over 100 equations that illustrate how to follow examples in the book

Author : Irving R. Epstein,John A. Pojman
Publisher : Oxford University Press
Page : 407 pages
File Size : 50,7 Mb
Release : 1998-10-22
Category : Science
ISBN : 9780198025665

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An Introduction to Nonlinear Chemical Dynamics by Irving R. Epstein,John A. Pojman Pdf

Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences. This book is the first introduction to nonlinear chemical dynamics written specifically for chemists. It covers oscillating reactions, chaos, and chemical pattern formation, and includes numerous practical suggestions on reactor design, data analysis, and computer simulations. Assuming only an undergraduate knowledge of chemistry, the book is an ideal starting point for research in the field. The book begins with a brief history of nonlinear chemical dynamics and a review of the basic mathematics and chemistry. The authors then provide an extensive overview of nonlinear dynamics, starting with the flow reactor and moving on to a detailed discussion of chemical oscillators. Throughout the authors emphasize the chemical mechanistic basis for self-organization. The overview is followed by a series of chapters on more advanced topics, including complex oscillations, biological systems, polymers, interactions between fields and waves, and Turing patterns. Underscoring the hands-on nature of the material, the book concludes with a series of classroom-tested demonstrations and experiments appropriate for an undergraduate laboratory.

Author : Andrej V. Gaponov-Grechov
Publisher : Unknown
Page : 238 pages
File Size : 40,5 Mb
Release : 1989
Category : Nonlinear waves
ISBN : OCLC:613296394

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Nonlinear Waves I by Andrej V. Gaponov-Grechov Pdf

Author : Lokenath Debnath
Publisher : CUP Archive
Page : 376 pages
File Size : 53,8 Mb
Release : 1983-12-30
Category : Mathematics
ISBN : 052125468X

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Nonlinear Waves by Lokenath Debnath Pdf

The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV equations, solitions and inverse scattering transforms, stability of solitary waves, resonant wave interactions, nonlinear evolution equations, nonlinear wave phenomena in plasmas, recurrence phenomena in nonlinear wave systems, and the structure and dynamics of envelope solitions in plasmas.

Author : Patrick Lynett
Publisher : World Scientific
Page : 314 pages
File Size : 48,8 Mb
Release : 2009
Category : Science
ISBN : 9789812709042

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Nonlinear Wave Dynamics by Patrick Lynett Pdf

In September 2006, research leaders in the field of coastal engineering, fluid mechanics, and wave theory met at Cornell University to celebrate the 60th birthday of Prof. Philip L-F Liu. This volume is a compilation of the research papers presented at the symposium, and includes both review and new research papers. Topics such as nonlinear wave theory, tsunamis, wave-structure interaction, turbulence, and modeling of complex sediment transport are discussed in this volume. All of the contributing authors are research collaborators of Prof. Liu, and include leaders in coastal engineering such as Maarten Dingemans, Hwung-Hweng Hwung, Nobu Kobayashi, Inigo Losada, Hocine Oumeraci, Costas Synolakis, and Harry Yeh.

Author : L.M. Pismen
Publisher : Springer Science & Business Media
Page : 383 pages
File Size : 50,5 Mb
Release : 2006-07-07
Category : Science
ISBN : 9783540304319

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Patterns and Interfaces in Dissipative Dynamics by L.M. Pismen Pdf

Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium occurs in a variety of settings in nature and technology, and has applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. This book explores the forefront of current research, describing in-depth the analytical methods that elucidate the complex evolution of nonlinear dissipative systems.

Author : Eryk Infeld,George Rowlands
Publisher : Cambridge University Press
Page : 416 pages
File Size : 43,5 Mb
Release : 2000-07-13
Category : Mathematics
ISBN : 0521635578

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Nonlinear Waves, Solitons and Chaos by Eryk Infeld,George Rowlands Pdf

The second edition of a highly successful book on nonlinear waves, solitons and chaos.