Nonlinear Dynamics of Rotating Shallow Water  Methods and Advances Book

Nonlinear Dynamics of Rotating Shallow Water Methods and Advances


  • Author : Anonim
  • Publisher : Elsevier
  • Release Date : 2007-04-03
  • Genre: Science
  • Pages : 400
  • ISBN 10 : 008048946X

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Nonlinear Dynamics of Rotating Shallow Water Methods and Advances Excerpt :

The rotating shallow water (RSW) model is of wide use as a conceptual tool in geophysical fluid dynamics (GFD), because, in spite of its simplicity, it contains all essential ingredients of atmosphere and ocean dynamics at the synoptic scale, especially in its two- (or multi-) layer version. 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 nonlinear wave phenomena. The specificity of the book is that analytical, numerical, and experimental approaches are presented together and complement each other. Special attention is paid on explaining the methodology, e.g. multiple time-scale asymptotic expansions, averaging and removal of resonances, in what concerns theory, high-resolution finite-volume schemes, in what concerns numerical simulations, and turntable experiments with stratified fluids, in what concerns laboratory simulations. A general introduction into GFD is given at the beginning to introduce the problematics for non-specialists. At the same time, recent new results on nonlinear geostrophic adjustment, nonlinear waves, and equatorial dynamics, including some exact results on the existence of the slow manifold, wave breaking, and nonlinear wave solutions are presented for the first time in a systematic manner. · Incorporates analytical, numerical and experimental approaches in the geophysical fluid dynamics context · Combination of essentials in GFD, of the description of analytical, numerical and experimental methods (tutorial part), and new results obtained by these methods (original part) · Provides the link between GFD and mechanics (averaging method, the method of normal forms); GFD and nonlinear physics (shocks, solitons, modons, anomalous transport, periodic nonl

Reviews of Nonlinear Dynamics and Complexity Book

Reviews of Nonlinear Dynamics and Complexity


  • Author : Heinz Georg Schuster
  • Publisher : John Wiley & Sons
  • Release Date : 2008-06-09
  • Genre: Science
  • Pages : 227
  • ISBN 10 : 3527407294

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Reviews of Nonlinear Dynamics and Complexity Excerpt :

Adopting a cross-disciplinary approach, the review character of this monograph sets it apart from specialized journals. The editor is advised by a first-class board of international scientists, such that the carefully selected and invited contributions represent the latest and most relevant findings. The resulting review enables both researchers and newcomers in life science, physics, and chemistry to access the most important results in this field, using a common language.

Fundamentals of Fluid Solid Interactions Book

Fundamentals of Fluid Solid Interactions


  • Author : Xiaodong (Sheldon) Wang
  • Publisher : Elsevier
  • Release Date : 2008-08-13
  • Genre: Science
  • Pages : 592
  • ISBN 10 : 0080559700

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Fundamentals of Fluid Solid Interactions Excerpt :

This book focuses on the computational and theoretical approaches to the coupling of fluid mechanics and solids mechanics. In particular, nonlinear dynamical systems are introduced to the handling of complex fluid-solid interaction systems, For the past few decades, many terminologies have been introduced to this field, namely, flow-induced vibration, aeroelasticity, hydroelasticity, fluid-structure interaction, fluid-solid interaction, and more recently multi-physics problems. Moreover, engineering applications are distributed within different disciplines, such as nuclear, civil, aerospace, ocean, chemical, electrical, and mechanical engineering. Regrettably, while each particular subject is by itself very extensive, it has been difficult for a single book to cover in a reasonable depth and in the mean time to connect various topics. In light of the current multidisciplinary research need in nanotechnology and bioengineering, there is an urgent need for books to provide such a linkage and to lay a foundation for more specialized fields. - Interdisciplinary across all types of engineering - Comprehensive study of fluid-solid interaction - Discusses complex system dynamics derived from interactive systems - Provides mathematic modeling of biological systems

Nonlinear Dynamics in Complex Systems Book

Nonlinear Dynamics in Complex Systems


  • Author : Armin Fuchs
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-09-22
  • Genre: Technology & Engineering
  • Pages : 238
  • ISBN 10 : 9783642335525

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Nonlinear Dynamics in Complex Systems Excerpt :

With many areas of science reaching across their boundaries and becoming more and more interdisciplinary, students and researchers in these fields are confronted with techniques and tools not covered by their particular education. Especially in the life- and neurosciences quantitative models based on nonlinear dynamics and complex systems are becoming as frequently implemented as traditional statistical analysis. Unfamiliarity with the terminology and rigorous mathematics may discourage many scientists to adopt these methods for their own work, even though such reluctance in most cases is not justified. This book bridges this gap by introducing the procedures and methods used for analyzing nonlinear dynamical systems. In Part I, the concepts of fixed points, phase space, stability and transitions, among others, are discussed in great detail and implemented on the basis of example elementary systems. Part II is devoted to specific, non-trivial applications: coordination of human limb movement (Haken-Kelso-Bunz model), self-organization and pattern formation in complex systems (Synergetics), and models of dynamical properties of neurons (Hodgkin-Huxley, Fitzhugh-Nagumo and Hindmarsh-Rose). Part III may serve as a refresher and companion of some mathematical basics that have been forgotten or were not covered in basic math courses. Finally, the appendix contains an explicit derivation and basic numerical methods together with some programming examples as well as solutions to the exercises provided at the end of certain chapters. Throughout this book all derivations are as detailed and explicit as possible, and everybody with some knowledge of calculus should be able to extract meaningful guidance follow and apply the methods of nonlinear dynamics to their own work. “This book is a masterful treatment, one might even say a gift, to the interdisciplinary scientist of the future.” “With the authoritative voice of a genuine practitioner, Fuchs is a master teacher of

Nonlinear Science and Complexity Book

Nonlinear Science and Complexity


  • Author : J.A. Tenreiro Machado
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-11-03
  • Genre: Technology & Engineering
  • Pages : 426
  • ISBN 10 : 9789048198849

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Nonlinear Science and Complexity Excerpt :

This book contains selected papers of NSC08, the 2nd Conference on Nonlinear Science and Complexity, held 28-31 July, 2008, Porto, Portugal. It focuses on fundamental theories and principles, analytical and symbolic approaches, computational techniques in nonlinear physics and mathematics. Topics treated include • Chaotic Dynamics and Transport in Classic and Quantum Systems • Complexity and Nonlinearity in Molecular Dynamics and Nano-Science • Complexity and Fractals in Nonlinear Biological Physics and Social Systems • Lie Group Analysis and Applications in Nonlinear Science • Nonlinear Hydrodynamics and Turbulence • Bifurcation and Stability in Nonlinear Dynamic Systems • Nonlinear Oscillations and Control with Applications • Celestial Physics and Deep Space Exploration • Nonlinear Mechanics and Nonlinear Structural Dynamics • Non-smooth Systems and Hybrid Systems • Fractional dynamical systems

Nonlinear Science and Complexity Book

Nonlinear Science and Complexity


  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2022-05-27
  • Genre: Uncategoriezed
  • Pages : null
  • ISBN 10 : 9789814476331

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Nonlinear Science and Complexity Excerpt :

Foundations of Complex Systems Book

Foundations of Complex Systems


  • Author : G. Nicolis
  • Publisher : World Scientific
  • Release Date : 2007
  • Genre: Mathematics
  • Pages : 328
  • ISBN 10 : 9789812700438

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Foundations of Complex Systems Excerpt :

Complexity is emerging as a post-Newtonian paradigm for approaching a large body of phenomena of concern at the crossroads of physical, engineering, environmental, life and human sciences from a unifying point of view. This book outlines the foundations of modern complexity research as it arose from the cross-fertilization of ideas and tools from nonlinear science, statistical physics and numerical simulation. It is shown how these developments lead to an understanding, both qualitative and quantitative, of the complex systems encountered in nature and in everyday experience and, conversely, how natural complexity acts as a source of inspiration for progress at the fundamental level.

Nonlinear Science and Warfare Book

Nonlinear Science and Warfare


  • Author : Sean T. Lawson
  • Publisher : Routledge
  • Release Date : 2013-11-26
  • Genre: History
  • Pages : 200
  • ISBN 10 : 9781135020187

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Nonlinear Science and Warfare Excerpt :

This book examines the United States military’s use of concepts from non-linear science, such as chaos and complexity theory, in its efforts to theorise information-age warfare. Over the past three decades, the US defence community has shown an increasing interest in learning lessons from the non-linear sciences. Theories, strategies, and doctrines of warfare that have guided the conduct of US forces in recent conflicts have been substantially influenced by ideas borrowed from non-linear science, including manoeuvre warfare, network-centric warfare, and counterinsurgency. This book accounts for the uses that the US military has made of non-linear science by examining the long-standing historical relationship between the natural sciences and Western militaries. It identifies concepts and metaphors borrowed from natural science as a key formative factor behind the development of military theory, strategy, and doctrine. In doing so, Nonlinear Science and Warfare not only improves our understanding of the relationship between military professional identity, professional military education, and changes in technology, but also provides important insights into the evolving nature of conflict in the Information Age. This book will be of much interest to students of strategic studies, military science, US foreign policy, technology and war, and security studies.

Nonlinear Dynamics  Chaos  and Complexity Book

Nonlinear Dynamics Chaos and Complexity


  • Author : Dimitri Volchenkov
  • Publisher : Springer Nature
  • Release Date : 2020-12-14
  • Genre: Mathematics
  • Pages : 198
  • ISBN 10 : 9789811590344

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Nonlinear Dynamics Chaos and Complexity Excerpt :

This book demonstrates how mathematical methods and techniques can be used in synergy and create a new way of looking at complex systems. It becomes clear nowadays that the standard (graph-based) network approach, in which observable events and transportation hubs are represented by nodes and relations between them are represented by edges, fails to describe the important properties of complex systems, capture the dependence between their scales, and anticipate their future developments. Therefore, authors in this book discuss the new generalized theories capable to describe a complex nexus of dependences in multi-level complex systems and to effectively engineer their important functions. The collection of works devoted to the memory of Professor Valentin Afraimovich introduces new concepts, methods, and applications in nonlinear dynamical systems covering physical problems and mathematical modelling relevant to molecular biology, genetics, neurosciences, artificial intelligence as well as classic problems in physics, machine learning, brain and urban dynamics. The book can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists, urban planners, and even musicians (with some mathematical background).

Biology  Sociology  Geology by Computational Physicists Book

Biology Sociology Geology by Computational Physicists


  • Author : Dietrich Stauffer
  • Publisher : Elsevier
  • Release Date : 2006-02-17
  • Genre: Science
  • Pages : 286
  • ISBN 10 : 0080462022

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Biology Sociology Geology by Computational Physicists Excerpt :

The book requires only rudimentary physics knowledge but ability to program computers creatively and to keep the mind open to simple and not so simple models, based in individuals, for the living world around us. * Interdisciplinary coverage * Research oriented * Contains and explains programs * Based on recent discoveries * Little special knowledge required besides programming * Suitable for undergraduate and graduate research projects

Chaos and Complexity Theory for Management  Nonlinear Dynamics Book

Chaos and Complexity Theory for Management Nonlinear Dynamics


  • Author : Banerjee, Santo
  • Publisher : IGI Global
  • Release Date : 2012-11-30
  • Genre: Business & Economics
  • Pages : 449
  • ISBN 10 : 9781466625105

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Chaos and Complexity Theory for Management Nonlinear Dynamics Excerpt :

Although chaos theory refers to the existence between seemingly random events, it has been gaining the attention of science, technology and managements fields. The shift from traditional procedures to the dynamics of chaos and complexity theory has resulted in a new element of complexity thinking, allowing for a greater capability for analyzing and understanding key business processes. Chaos and Complexity Theory for Management: Nonlinear Dynamics explores chaos and complexity theory and its relationship with the understanding of natural chaos in the business environment. Utilizing these theories aids in comprehending the development of businesses as a complex adaptive system.

An Introduction to Complex Systems Book

An Introduction to Complex Systems


  • Author : Paul Fieguth
  • Publisher : Springer
  • Release Date : 2016-11-26
  • Genre: Science
  • Pages : 346
  • ISBN 10 : 9783319446066

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An Introduction to Complex Systems Excerpt :

This undergraduate text explores a variety of large-scale phenomena - global warming, ice ages, water, poverty - and uses these case studies as a motivation to explore nonlinear dynamics, power-law statistics, and complex systems. Although the detailed mathematical descriptions of these topics can be challenging, the consequences of a system being nonlinear, power-law, or complex are in fact quite accessible. This book blends a tutorial approach to the mathematical aspects of complex systems together with a complementary narrative on the global/ecological/societal implications of such systems. Nearly all engineering undergraduate courses focus on mathematics and systems which are small scale, linear, and Gaussian. Unfortunately there is not a single large-scale ecological or social phenomenon that is scalar, linear, and Gaussian. This book offers students insights to better understand the large-scale problems facing the world and to realize that these cannot be solved by a single, narrow academic field or perspective. Instead, the book seeks to emphasize understanding, concepts, and ideas, in a way that is mathematically rigorous, so that the concepts do not feel vague, but not so technical that the mathematics get in the way. The book is intended for undergraduate students in a technical domain such as engineering, computer science, physics, mathematics, and environmental studies.

Applications of Nonlinear Dynamics Book

Applications of Nonlinear Dynamics


  • Author : Visarath In
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-02-11
  • Genre: Technology & Engineering
  • Pages : 478
  • ISBN 10 : 9783540856320

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Applications of Nonlinear Dynamics Excerpt :

The ?eld of applied nonlinear dynamics has attracted scientists and engineers across many different disciplines to develop innovative ideas and methods to study c- plex behavior exhibited by relatively simple systems. Examples include: population dynamics, ?uidization processes, applied optics, stochastic resonance, ?ocking and ?ightformations,lasers,andmechanicalandelectricaloscillators. Acommontheme among these and many other examples is the underlying universal laws of nonl- ear science that govern the behavior, in space and time, of a given system. These laws are universal in the sense that they transcend the model-speci?c features of a system and so they can be readily applied to explain and predict the behavior of a wide ranging phenomena, natural and arti?cial ones. Thus the emphasis in the past decades has been in explaining nonlinear phenomena with signi?cantly less att- tion paid to exploiting the rich behavior of nonlinear systems to design and fabricate new devices that can operate more ef?ciently. Recently, there has been a series of meetings on topics such as Experimental Chaos, Neural Coding, and Stochastic Resonance, which have brought together many researchers in the ?eld of nonlinear dynamics to discuss, mainly, theoretical ideas that may have the potential for further implementation. In contrast, the goal of the 2007 ICAND (International Conference on Applied Nonlinear Dynamics) was focused more sharply on the implementation of theoretical ideas into actual - vices and systems.

Symmetry and Complexity Book

Symmetry and Complexity


  • Author : Klaus Mainzer
  • Publisher : World Scientific Publishing Company Incorporated
  • Release Date : 2005
  • Genre: Mathematics
  • Pages : 437
  • ISBN 10 : 9789812561923

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Symmetry and Complexity Excerpt :

Cosmic evolution leads from symmetry to complexity by symmetry breaking and phase transitions. The emergence of new order and structure in nature and society is explained by physical, chemical, biological, social and economic self-organization, according to the laws of nonlinear dynamics. All these dynamical systems are considered computational systems processing information and entropy. Are symmetry and complexity only useful models of science or are they universals of reality? Symmetry and Complexity discusses the fascinating insights gained from natural, social and computer sciences, philosophy and the arts. With many diagrams and pictures, this book illustrates the spirit and beauty of nonlinear science. In the complex world of globalization, it strongly argues for unity in diversity.

The Synchronized Dynamics of Complex Systems Book

The Synchronized Dynamics of Complex Systems


  • Author : Stefano Boccaletti
  • Publisher : Elsevier
  • Release Date : 2008-02-05
  • Genre: Science
  • Pages : 258
  • ISBN 10 : 0080560423

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The Synchronized Dynamics of Complex Systems Excerpt :

The origin of the word synchronization is a greek root, meaning "to share the common time". The original meaning of synchronization has been maintained up to now in the colloquial use of this word, as agreement or correlation in time of different processes. Historically, the analysis of synchronization phenomena in the evolution of dynamical systems has been a subject of active investigation since the earlier days of physics. Recently, the search for synchronization has moved to chaotic systems. In this latter framework, the appearance of collective (synchronized) dynamics is, in general, not trivial. Indeed, a dynamical system is called chaotic whenever its evolution sensitively depends on the initial conditions. The above said implies that two trajectories emerging from two different closeby initial conditions separate exponentially in the course of the time. As a result, chaotic systems intrinsically defy synchronization, because even two identical systems starting from slightly different initial conditions would evolve in time in a unsynchronized manner (the differences in the systems' states would grow exponentially). This is a relevant practical problem, insofar as experimental initial conditions are never known perfectly. The setting of some collective (synchronized) behavior in coupled chaotic systems has therefore a great importance and interest. The subject of the present book is to summarize the recent discoveries involving the study of synchronization in coupled chaotic systems. Not always the word synchronization is taken as having the same colloquial meaning, and one needs to specify what synchrony means in all particular contexts in which we will describe its emergence. The book describes the complete synchronization phenomenon, both for low and for high dimensional situations, and illustrates possible applications in the field of communicating with chaos. Furthermore, the book summarizes the concepts of phase synchronization, lag synchronization, imp