Nonlinear Waves In Complex Systems

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Nonlinear Waves In Complex Systems

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Author : J.-G. Caputo
language : en
Publisher:
Release Date : 2007

Nonlinear Waves In Complex Systems written by J.-G. Caputo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Chaotic behavior in systems categories.

Proceedings Of The 2nd International Conference On Nonlinear Dynamics And Applications Icnda 2024 Volume 1

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Author : Asit Saha
language : en
Publisher: Springer Nature
Release Date : 2024-09-10

Proceedings Of The 2nd International Conference On Nonlinear Dynamics And Applications Icnda 2024 Volume 1 written by Asit Saha and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-10 with Science categories.

This book covers the latest advancements and applications of nonlinear dynamics in various fields of science and engineering, presenting a curated selection of peer-reviewed contributions at the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024) at Sikkim Manipal Institute of Technology (SMIT). Organized by the Department of Mathematics, SMIT, SMU, this international conference provides a platform for scientists, researchers, and inventors to share their findings and exchange ideas in the ever-evolving field of nonlinear dynamics. This book comprises three volumes. Volume 1 focuses on the investigation of nonlinear waves and plasma dynamics. It covers topics such as strong Landau damping, electron plasma waves, ion-acoustic waves, dusty plasma, dust-acoustic waves, dust-ion-acoustic waves, kinetic Alfven waves, solitary wave, shock waves, periodic wave, cnoidal wave, superperiodic wave, soliton, resonance, lump soliton, multi-soliton, breather wave, upper hybrid wave, atmospheric internal wave, mathematical and analytical methods, quantum and relativistic plasmas, wave instabilities and interactions, fractional and complex systems, nonlinear optical phenomena, Gaussian laser beam, chaos and multistability, and other specific plasma studies.

Proceedings Of The 2nd International Conference On Nonlinear Dynamics And Applications Icnda 2024 Volume 3

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Author : Asit Saha
language : en
Publisher: Springer Nature
Release Date : 2024-12-09

Proceedings Of The 2nd International Conference On Nonlinear Dynamics And Applications Icnda 2024 Volume 3 written by Asit Saha and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-09 with Science categories.

This book covers the latest advancements and applications of nonlinear dynamics in various fields of science and engineering, presenting a curated selection of peer-reviewed contributions at the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024) at Sikkim Manipal Institute of Technology (SMIT). Organized by the Department of Mathematics, SMIT, SMU, this international conference provides a platform for scientists, researchers, and inventors to share their findings and exchange ideas in the ever-evolving field of nonlinear dynamics. This book comprises three volumes. Volume 3 focuses on graphs, networks, and communications. It covers topics such as optimization in control and neural systems; machine learning for signal analysis and classification; graph theory applications in science and engineering; analysis of wavelets and transforms in signal processing; and semiconductor devices and nanomaterials.

Nonlinear Waves In Solid State Physics

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Author : A.D. Boardman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Waves In Solid State Physics written by A.D. Boardman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

This book is based on the contributions to the 17th International School of Materials Sci ence and Technology, entitled Nonlinear Waves in Solid State Physics. This was held as a NATO Advanced Study Institute at the Ettore Majorana Centre in Erice, Sicily between the st th 1 and 15 July 1989, and attracted almost 100 participants from over 20 different countries. The book covers the fundamental properties of nonlinear waves in solid state materials, dealing with both theory and experiment. The aim is to emphasise the methods underpinning the important new developments in this area. The material is organised into subject areas that can broadly be classified into the following groups: the theory of nonlinear surface and guided waves in self-focusing magnetic and non-magnetic materials; nonlinear effects at in terfaces; nonlinear acoustoelectronic and surface acoustic waves; Lagrangian and Hamiltonian formulations of nonlinear problems; nonlinear effects in optical fibres; resonance phenomena; and nonlinear integrated optics. The chapters have been grouped together according to these classifications as closely as possible, but it should be borne in mind that although there is much overlap of ideas, each chapter is essentially independent of the others. We would like to acknowledge the sponsorship of the NATO Scientific Affairs Division, the European Physical Society, the National Science Foundation of the USA, the European Research Office, the Italian Ministry of Education, the Italian Ministry of Scientific and Technological Research, the Sicilian Regional Government and the Ugo Bordoni Foundation.

New Approaches To Nonlinear Waves

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Author : Elena Tobisch
language : en
Publisher: Springer
Release Date : 2015-08-19

New Approaches To Nonlinear Waves written by Elena Tobisch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-19 with Science categories.

The book details a few of the novel methods developed in the last few years for studying various aspects of nonlinear wave systems. The introductory chapter provides a general overview, thematically linking the objects described in the book. Two chapters are devoted to wave systems possessing resonances with linear frequencies (Chapter 2) and with nonlinear frequencies (Chapter 3). In the next two chapters modulation instability in the KdV-type of equations is studied using rigorous mathematical methods (Chapter 4) and its possible connection to freak waves is investigated (Chapter 5). The book goes on to demonstrate how the choice of the Hamiltonian (Chapter 6) or the Lagrangian (Chapter 7) framework allows us to gain a deeper insight into the properties of a specific wave system. The final chapter discusses problems encountered when attempting to verify the theoretical predictions using numerical or laboratory experiments. All the chapters are illustrated by ample constructive examples demonstrating the applicability of these novel methods and approaches to a wide class of evolutionary dispersive PDEs, e.g. equations from Benjamin-Oro, Boussinesq, Hasegawa-Mima, KdV-type, Klein-Gordon, NLS-type, Serre, Shamel , Whitham and Zakharov. This makes the book interesting for professionals in the fields of nonlinear physics, applied mathematics and fluid mechanics as well as students who are studying these subjects. The book can also be used as a basis for a one-semester lecture course in applied mathematics or mathematical physics.

Nonlinear Wave Dynamics

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Author : J. Engelbrecht
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Nonlinear Wave Dynamics written by J. Engelbrecht and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Technology & Engineering categories.

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.

Nonlinear Wave Dynamics Of Materials And Structures

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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2020-04-22

Nonlinear Wave Dynamics Of Materials And Structures written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-22 with Technology & Engineering categories.

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 generalized continua and structures. It also discusses a number of applications as well as various discrete and continuous dynamic models of structures and media and problems of nonlinear acoustic diagnostics.

Discontinuity Nonlinearity And Complexity

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Author : Lev Ostrovsky
language : en
Publisher: L& H Scientific Publishing
Release Date : 2018-07-01

Discontinuity Nonlinearity And Complexity written by Lev Ostrovsky and has been published by L& H Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-01 with Mathematics categories.

The interdisciplinary journal publishes original and new results on recent developments, discoveries and progresses on Discontinuity, Nonlinearity and Complexity in physical and social sciences. The aim of the journal is to stimulate more research interest for exploration of discontinuity, complexity, nonlinearity and chaos in complex systems. The manuscripts in dynamical systems with nonlinearity and chaos are solicited, which includes mathematical theories and methods, physical principles and laws, and computational techniques. The journal provides a place to researchers for the rapid exchange of ideas and techniques in discontinuity, complexity, nonlinearity and chaos in physical and social sciences. No length limitations for contributions are set, but only concisely written manuscripts are published. Brief papers are published on the basis of Technical Notes. Discussions of previous published papers are welcome. Topics of Interest Complex and hybrid dynamical systemsDiscontinuous dynamical systems (i.e., impulsive, time-delay, flow barriers)Nonlinear discrete systems and symbolic dynamicsFractional dynamical systems and controlStochastic dynamical systems and randomnessComplexity, self-similarity and synchronization in nonlinear physicsNonlinear phenomena and physical mechanismsStability, bifurcation and chaos in complex systemsHydrodynamics, turbulence and complexity mechanismNonlinear waves and solitonDynamical networksCombinatorial aspects of dynamical systemsBiological dynamics and biophysics

Nonlinear Waves And Solitons On Contours And Closed Surfaces

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Author : Andrei Ludu
language : en
Publisher: Springer Nature
Release Date : 2022-11-04

Nonlinear Waves And Solitons On Contours And Closed Surfaces written by Andrei Ludu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-04 with Science categories.

This new edition has been thoroughly revised, expanded and contain some updates function of the novel results and shift of scientific interest in the topics. The book has a Foreword by Jerry L. Bona and Hongqiu Chen. The book is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics, physics and engineering.

Nonlinear Differential Equations

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Author : Mr. Senthil Kumar C
language : en
Publisher: RK Publication
Release Date : 2024-11-11

Nonlinear Differential Equations written by Mr. Senthil Kumar C and has been published by RK Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-11 with Mathematics categories.

Nonlinear Differential Equations explores the theory, methods, and applications of differential equations that involve nonlinear terms. A range of topics, including existence and uniqueness theorems, stability analysis, and qualitative behavior of solutions. The into both ordinary and partial nonlinear differential equations, offering techniques for solving complex, real-world problems in fields such as physics, biology, and engineering. With a focus on analytical and numerical methods, it serves as an essential resource for students, researchers, and professionals seeking to understand and apply nonlinear dynamics.