Without Bounds: A Scientific Canvas of Nonlinearity and Complex Dynamics

Without Bounds: A Scientific Canvas of Nonlinearity and Complex Dynamics

Author: Ramon G. Rubio

Publisher: Springer

Published: 2013-05-30

Total Pages: 781

ISBN-13: 3642340709

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Bringing together over fifty contributions on all aspects of nonlinear and complex dynamics, this impressive topical collection is both a scientific and personal tribute, on the occasion of his 70th birthday, by many outstanding colleagues in the broad fields of research pursued by Prof. Manuel G Velarde. The topics selected reflect the research areas covered by the famous Instituto Pluridisciplinar at the Universidad Complutense of Madrid, which he co-founded over two decades ago, and include: fluid physics and related nonlinear phenomena at interfaces and in other geometries, wetting and spreading dynamics, geophysical and astrophysical flows, and novel aspects of electronic transport in anharmonic lattices, as well as topics in neurodynamics and robotics.


Nonlinear Optical Cavity Dynamics

Nonlinear Optical Cavity Dynamics

Author: Philippe Grelu

Publisher: John Wiley & Sons

Published: 2015-12-14

Total Pages: 565

ISBN-13: 3527685855

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By recirculating light in a nonlinear propagation medium, the nonlinear optical cavity allows for countless options of light transformation and manipulation. In passive media, optical bistability and frequency conversion are central figures. In active media, laser light can be generated with versatile underlying dynamics. Emphasizing on ultrafast dynamics, the vital arena for the information technology, the soliton is a common conceptual keyword, thriving into its modern developments with the closely related denominations of dissipative solitons and cavity solitons. Recent technological breakthroughs in optical cavities, from micro-resonators to ultra-long fiber cavities, have entitled the exploration of nonlinear optical dynamics over unprecedented spatial and temporal orders of magnitude. By gathering key contributions by renowned experts, this book aims at bridging the gap between recent research topics with a view to foster cross-fertilization between research areas and stimulating creative optical engineering design.


The Dynamical Projectors Method

The Dynamical Projectors Method

Author: Sergey Leble

Publisher: CRC Press

Published: 2018-03-12

Total Pages: 282

ISBN-13: 1351107984

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The dynamical projectors method proves to reduce a multicomponent problem to the simplest one-component problem with its solution determined by specific initial or boundary conditions. Its universality and application in many different physical problems make it particularly useful in hydrodynamics, electrodynamics, plasma physics, and boundary layer problems. A great variety of underlying mechanisms are included making this book useful for those working in wave theory, hydrodynamics, electromagnetism, and applications. "The authors developed a universal and elegant tool – dynamical projector method. Using this method for very complicated hydro-thermodynamic and electrodynamics problem settings, they were able to get a lot of interesting analytical results in areas where before often just numerical methods were applicable." —L. A. Bordag, University of Applied Sciences Zittau/Görlitz, Zittau, Germany "The book is intended for professionals working in various fields of linear and nonlinear mathematical physics, partial differential equations and theoretical physics. The book is written clearly, and in my opinion, its material will be useful and easy to understand for professionals and for students familiar with ordinary and partial differential equations." —Sergey Dobrokhotov, Russian Academy of Sciences, Moscow, Russia


Odyssey of Light in Nonlinear Optical Fibers

Odyssey of Light in Nonlinear Optical Fibers

Author: Kuppuswamy Porsezian

Publisher: CRC Press

Published: 2017-12-19

Total Pages: 630

ISBN-13: 1351831100

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Odyssey of Light in Nonlinear Optical Fibers: Theory and Applications presents a collection of breakthrough research portraying the odyssey of light from optical solitons to optical rogue waves in nonlinear optical fibers. The book provides a simple yet holistic view on the theoretical and application-oriented aspects of light, with a special focus on the underlying nonlinear phenomena. Exploring the very frontiers of light-wave technology, the text covers the basics of nonlinear fiberoptics and the dynamics of electromagnetic pulse propagation in nonlinear waveguides. It also highlights some of the latest advances in nonlinear optical fiber technology, discussing hidden symmetry reductions and Ablowitz–Kaup–Newell–Segur (AKNS) hierarchies for nonautonomous solitons, state-of-the-art Brillouin scattering applications, backpropagation, and the concept of eigenvalue communication—a powerful nonlinear digital signal processing technique that paves the way to overcome the current limitations of traditional communications methods in nonlinear fiber channels. Key chapters study the feasibility of the eigenvalue demodulation scheme based on digital coherent technology by throwing light on the experimental study of the noise tolerance of the demodulated eigenvalues, investigate matter wave solitons and other localized excitations pertaining to Bose–Einstein condensates in atom optics, and examine quantum field theory analogue effects occurring in binary waveguide arrays, plasmonic arrays, etc., as well as their ensuing nonlinear wave propagation. Featuring a foreword by Dr. Akira Hasegawa, the father of soliton communication systems, Odyssey of Light in Nonlinear Optical Fibers: Theory and Applications serves as a curtain raiser to usher in the photonics era. The technological innovations at the core of the book form the basis for the next generation of ultra-high speed computers and telecommunication devices.


Wetting and Spreading Dynamics, Second Edition

Wetting and Spreading Dynamics, Second Edition

Author: Victor M. Starov

Publisher: CRC Press

Published: 2019-07-02

Total Pages: 495

ISBN-13: 0429013744

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Wetting and Spreading Dynamics explains how surface forces acting at the three-phase contact line determine equilibrium, hysteresis contact angles, and other equilibrium and kinetics features of liquids when in contact with solids or with other immiscible liquids. It examines the interaction of surface forces, capillary forces, and properties of the transition zone between the bulk liquid and solid substrate. Significantly revised and updated, the Second Edition features new chapters that cover spreading of non-Newtonian liquids over porous substrates, hysteresis of contact angles on smooth homogeneous substrates, equilibrium and hysteresis contact angles on deformable substrates, and kinetics of simultaneous spreading and evaporation. Drawing together theory and experimental data while presenting over 150 figures to illustrate the concepts, Wetting and Spreading Dynamics, Second Edition is a valuable resource written for both newcomers and experienced researchers.


Waveguide Propagation of Nonlinear Waves

Waveguide Propagation of Nonlinear Waves

Author: Sergey Leble

Publisher: Springer

Published: 2019-07-03

Total Pages: 298

ISBN-13: 3030226522

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This book addresses the peculiarities of nonlinear wave propagation in waveguides and explains how the stratification depends on the waveguide and confinement. An example of this is an optical fibre that does not allow light to pass through a density jump. The book also discusses propagation in the nonlinear regime, which is characterized by a specific waveform and amplitude, to demonstrate so-called solitonic behaviour. In this case, a wave may be strongly localized, and propagates with a weak change in shape. In the waveguide case there are additional contributions of dispersion originating from boundary or asymptotic conditions. Offering concrete guidance on solving application problems, this essentially (more than twice) expanded second edition includes various aspects of guided propagation of nonlinear waves as well as new topics like solitonic behaviour of one-mode and multi-mode excitation and propagation and plasma waveguides, propagation peculiarities of electromagnetic waves in metamaterials, new types of dispersion, dissipation, electromagnetic waveguides, planetary waves and plasma waves interaction.The key feature of the solitonic behaviour is based on Coupled KdV and Coupled NS systems. The systems are derived in this book and solved numerically with the proof of stability and convergence. The domain wall dynamics of ferromagnetic microwaveguides and Bloch waves in nano-waveguides are also included with some problems of magnetic momentum and charge transport.


The Swings of Science

The Swings of Science

Author: Len Pismen

Publisher: Springer

Published: 2018-12-06

Total Pages: 196

ISBN-13: 3319997777

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This book is a personal account of some aspects of the emergence of modern science, mostly from the viewpoint of those branches of physics which provided the much needed paradigm shift of "more is different" that heralded the advent of complexity science as an antidote to the purely reductionist approach in fundamental physics. It is also about the humans that have helped to shape these developments, including personal reminiscences and the realization that the so-called exact sciences are inevitably also a social endeavour with all its facets. Served by the razor-sharp wit of the author, this erudite ramble is meant to be neither comprehensive nor systematic, but its generous insights will give the inquisitive academically trained mind a better understanding of what science, and physics in particular, could or should be about.


Computational Methods for Complex Liquid-Fluid Interfaces

Computational Methods for Complex Liquid-Fluid Interfaces

Author: Mohammad Taeibi Rahni

Publisher: CRC Press

Published: 2015-11-11

Total Pages: 549

ISBN-13: 1498722091

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Computational Methods for Complex Liquid-Fluid Interfaces highlights key computational challenges involved in the two-way coupling of complex liquid-fluid interfaces. The book covers a variety of cutting-edge experimental and computational techniques ranging from macro- to meso- and microscale approaches (including pivotal applications). As example


Quasispecies: From Theory to Experimental Systems

Quasispecies: From Theory to Experimental Systems

Author: Esteban Domingo

Publisher: Springer

Published: 2016-03-18

Total Pages: 360

ISBN-13: 3319238981

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This volume brings together recent developments in quasispecies theory extended to variable environments and practical applications in elucidating viral dynamics and treatment designs. In particular, the existence of an error threshold in rugged fitness landscapes has opened the way to a new antiviral strategy termed lethal mutagenesis, which is now under intensive theoretical, experimental and clinical investigation. As such the book explains how an understanding of quasispecies dynamics within infected organisms has increased our knowledge of viral disease events. From a clinical perspective, population dynamics highlights important problems for viral disease control, such as the selection of drug-resistant mutants that often accompanies treatment failures, and suggests means of increasing the effectiveness of antiviral treatments. The book is intended for students and scientists interested in basic and applied aspects of biophysics, chemistry, biology, evolution and medical virology.


Droplet Wetting and Evaporation

Droplet Wetting and Evaporation

Author: David Brutin

Publisher: Academic Press

Published: 2015-05-11

Total Pages: 464

ISBN-13: 0128008083

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Droplet Wetting and Evaporation provides engineers, students, and researchers with the first comprehensive guide to the theory and applications of droplet wetting and evaporation. Beginning with a relevant theoretical background, the book moves on to consider specific aspects, including heat transfer, flow instabilities, and the drying of complex fluid droplets. Each chapter covers the principles of the subject, addressing corresponding practical issues and problems. The text is ideal for a broad range of domains, from aerospace and materials, to biomedical applications, comprehensively relaying the challenges and approaches from the different communities leading the way in droplet research and development. - Provides a broad, cross-subject coverage of theory and application that is ideal for engineers, students and researchers who need to follow all major developments in this interdisciplinary field - Includes comprehensive discussions of heat transfer, flow instabilities, and the drying of complex fluid droplets - Begins with an accessible summary of fundamental theory before moving on to specific areas such as heat transfer, flow instabilities, and the drying of complex fluid droplets