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Reviews Of Nonlinear Dynamics And Complexity

Author : Heinz Georg Schuster
ISBN : 352763097X
Genre : Science
File Size : 83. 42 MB
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Written in a style that breaks the barriers between the disciplines, this monograph enables researchers from life science, physics, engineering, or chemistry to access the most recent results in a common language. The resulting review character of this project sets it apart from specialized journals, and allows each volume to respond quickly to new developments. This third volume contains new topics ranging from chaotic computing, via random dice tossing and stochastic limit-cycle oscillators, to a number theoretic example of self-organized criticality, wave localization in complex networks and anomalous diffusion. A first-class board of international scientists advises the editor, such that the carefully selected and invited contributions represent the latest and most relevant findings.

Chaos And Complexity Theory For Management Nonlinear Dynamics

Author : Banerjee, Santo
ISBN : 9781466625105
Genre : Business & Economics
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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.

Nonlinear Dynamics And Complexity

Author : Valentin Afraimovich
ISBN : 9783319023533
Genre : Technology & Engineering
File Size : 64. 68 MB
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This important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics. Nonlinear Dynamics and Complexity equips readers to appreciate this increasingly main-stream approach to understanding complex phenomena in nonlinear systems as they are examined in a broad array of disciplines. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering.

Nonlinear Dynamics Chaos And Complexity

Author : Dimitri Volchenkov
ISBN : 9811590338
Genre : Mathematics
File Size : 51. 96 MB
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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).

Nonlinear Wave Dynamics

Author : J. Engelbrecht
ISBN : 9789401588911
Genre : Technology & Engineering
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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 Dynamics And Spatial Complexity In Optical Systems

Author : R. G. Harrison
ISBN : 9781351083492
Genre : Science
File Size : 52. 51 MB
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A collection of prestigious postgraduate lectures, Nonlinear Dynamics and Spatial Complexity in Optical Systems reviews developments in the theory and practice of nonlinear dynamics and structural complexity, and explores modern-day applications in nonlinear optics. The book addresses systems including both singlemode and multimode lasers, bistable and multistable devices, optical fibers, counter-propagating beam interactions, nonlinear mixing, and related optical phenomena.

Nonlinear Dynamics In Complex Systems

Author : Armin Fuchs
ISBN : 9783642335525
Genre : Mathematics
File Size : 38. 16 MB
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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 how to handle complex dynamical systems.” “What I find beautiful in this book is its clarity, the clear definition of terms, every step explained simply and systematically.” (J.A.Scott Kelso, excerpts from the foreword)

Nonlinear Dynamics Complexity And Public Policy

Author : Euel W. Elliott
ISBN : UOM:39015047449759
Genre : Political Science
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Introduces those with an interest in the policy sciences to the field of non-linear dynamics and complex systems, and their applications to problems of public policy. Four of the nine contributions concentrate on the implications of nonlinear dynamics and complexity for understanding the evolution of economic systems or instruments of economic policymaking. Three papers explore a set of non-economic related policy areas involving dynamics at a reduced level of aggregations from macroeconomic phenomena. The final contributions consider information technology and the challenge of time.

Chaos And Complexity

Author : Michael R. Butz
ISBN : 156032418X
Genre : Medical
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The nature of this book is to emphasize the inherent complexity and richness of the human experience of change. Now, the author believes there to be an acceptable "scientific" explanation for this phenomona. Explored here are 30 years of studies to describe nonlinear dynamics, today termed either chaos theory or complexity theory. The connotations of both theories are discussed at length. Offering social scientists validation in their attempts to describe and define phenomona of a previously ineffable nature, this book explores chaos' implications for psychology and the social sciences. It describes the benefits psychology can glean from using ideas in chaos theory and applying them to psychology in general, individual psycho-therapy, couples therapy, and community psychology, and also considers possible directions for research and application.

Understanding Nonlinear Dynamics

Author : Daniel Kaplan
ISBN : 0387944400
Genre : Mathematics
File Size : 59. 50 MB
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Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics ( TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. About the Authors Daniel Kaplan specializes in the analysis of data using techniques motivated by nonlinear dynamics. His primary interest is in the interpretation of irregular physiological rhythms, but the methods he has developed have been used in geo physics, economics, marine ecology, and other fields. He joined McGill in 1991, after receiving his Ph.D from Harvard University and working at MIT. His un dergraduate studies were completed at Swarthmore College. He has worked with several instrumentation companies to develop novel types of medical monitors.

Nonlinear Dynamics New Directions

Author : Hernán González-Aguilar
ISBN : 9783319098678
Genre : Technology & Engineering
File Size : 65. 10 MB
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This book, along with its companion volume, Nonlinear Dynamics New Directions: Models and Applications, covers topics ranging from fractal analysis to very specific applications of the theory of dynamical systems to biology. This first volume is devoted to fundamental aspects and includes a number of important new contributions as well as some review articles that emphasize new development prospects. The second volume contains mostly new applications of the theory of dynamical systems to both engineering and biology. The topics addressed in the two volumes include a rigorous treatment of fluctuations in dynamical systems, topics in fractal analysis, studies of the transient dynamics in biological networks, synchronization in lasers, and control of chaotic systems, among others. This book also: · Presents a rigorous treatment of fluctuations in dynamical systems and explores a range of topics in fractal analysis, among other fundamental topics · Features recent developments on large deviations for higher-dimensional maps, a study of measures resisting multifractal analysis and a overview of complex Kleninan groups · Includes thorough review of recent findings that emphasize new development prospects

Thinking In Complexity

Author : Klaus Mainzer
ISBN : 3540002391
Genre : Science
File Size : 33. 97 MB
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This new edition also treats smart materials and artificial life. A new chapter on information and computational dynamics takes up many recent discussions in the community.

Mathematics Of Complexity And Dynamical Systems

Author : Robert A. Meyers
ISBN : 9781461418054
Genre : Mathematics
File Size : 35. 46 MB
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Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.

Chaos And Nonlinear Dynamics

Author : Robert C. Hilborn
ISBN : 0198507232
Genre : Mathematics
File Size : 38. 52 MB
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Chaos and Nonlinear Dynamics introduces students, scientists, and engineers to the full range of activity in the rapidly growing field on nonlinear dynamics. Using a step-by-step introduction to dynamics and geometry in state space as the central focus of understanding nonlinear dynamics, thisbook includes a thorough treatment of both differential equation models and iterated map models (including a derivation of the famous Feigenbaum numbers). It is the only book at this level to include the increasingly important field of pattern formation and a survey of the controversial questions ofquantum chaos. Important tools such as Lyapunov exponents and fractal dimensions are treated in detail. With over 200 figures and diagrams, and analytic and computer exercises for every chapter, the book can be used as a course-text or for self-instruction. This second edition has been restructuredto make the book even more useful as a course text:many of the more complex examples and derivations have been moved to appendices. The extensive collection of annotated references has been updated through January 2000 and now includes listings of World Wide Web sites at many of the major nonlineardynamics research centers. From reviews on the 1/e: 'What has been lacking is a single book that takes the reader with nothing but a knowledge of elementary calculus and physics all the way to the frontiers of research in chaos and nonlinear dynamics in all its facets. [...] a serious student,teacher, or researcher would be delighted to have this book on the shelf as a reference and as a window to the literature in this exciting and rapidly growing new field of chaos.' J.C. Sprott, American Journal of Physics, September 19944 'I congratulate the author on having managed to write anextremely thorough, comprehensive, and entertaining introduction to the fascinating field of nonlinear dynamics. His book is highly self- explanatory and ideally suited for self-instruction. There is hardly any question that the author does not address in an exceptionally readable manner. [...] Istrongly recommend it to those looking for a comprehensive, practical, and not highly mathematical approach to the subject.' E.A. Hunt, IEEE Spectrum, December 1994

The Complexity Paradox

Author : Kenneth Mossman
ISBN : 9780199330362
Genre : Medical
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Living systems exhibit a fundamental contradiction: they are highly stable and reliable, yet they have the capacity to adapt to changing environmental conditions. This paradoxical behavior arises from the complexity of life--a high degree of order and cooperation that emerges from relatively simple interactions among cellular components. The Complexity Paradox proposes inventive, interdisciplinary approaches to maintaining health and managing and preventing disease by considering the totality of human biology, from the cellular level on up to entire populations of individuals. From the perspective of complexity, which acknowledges that there are limits to what we can know, Kenneth L. Mossman opens the door to understanding essential life processes in new and extraordinary ways. By tying together evolution, functional dynamics, and investigations into how the body processes energy and uses genetic information, Mossman's analysis expresses a unified theory of biology that fills a critical niche for future research in biology, medicine, and public health.

New Research On Chaos And Complexity

Author : Franco F. Orsucci
ISBN : 1600212751
Genre : Computers
File Size : 53. 24 MB
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This book presents leading-edge research on artificial life, cellular automata, chaos theory, cognition, complexity theory, synchronisation, fractals, genetic algorithms, information systems, metaphors, neural networks, non-linear dynamics, parallel computation and synergetics. The unifying feature of this research is the tie to chaos and complexity.

Chaos Complexity And Sociology

Author : Raymond A. Eve
ISBN : 0761908900
Genre : Social Science
File Size : 36. 7 MB
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The authors of this volume provide a timely collection of articles which examine the emerging myths and theories surrounding the study of chaos and complexity. In the second part methodological matters are considered. Finally, conceptual models and applications are presented. This perceptive and thorough volume will be useful to sociologists and others interested in chaos and complexity theory.

Complexus Mundi

Author : Miroslav Michal Novak
ISBN : 9789812566669
Genre : Science
File Size : 21. 12 MB
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The dynamics of complex systems can clarify the creation of structures in Nature. This creation is driven by the collective interaction of constitutive elements of the system. Such interactions are frequently nonlinear and are directly responsible for the lack of prediction in the evolution process. The self-organization accompanying these processes occurs all around us and is constantly being rediscovered, under the guise of a new jargon, in apparently unrelated disciplines. This volume offers unique perspectives on aspects of fractals and complexity and, through the examination of complementary techniques, provides a unifying thread in this multidisciplinary endeavor. Do nonlinear interactions play a role in the complexity management of socio-econo-political systems? Is it possible to extract the global properties of genetic regulatory networks without knowing the details of individual genes? What can one learn by transplanting the self-organization effects known in laser processes to the study of emotions? What can the change in the level of complexity tell us about the physiological state of the organism? The reader will enjoy finding the answers to these questions and many more in this book. Contents: Structure of Genetic Regulatory Networks: Evidence for Scale Free Networks (L S Liebovitch); Modelling Fractal Dynamics (B West); Complexity in Nature and Society: Complexity Management in the Age of Globalization (K Mainzer); Analysis of Geographical Distribution Patterns in Plants Using Fractals (A Bari); A Cornucopia of Connections: Finding Four Familiar Fractals in the Tower of Hanoi (D R Camp); Fractal Sets Generated by Two-Dimensional Non-Invertible Maps (Ch Mira); Fractals, Morphological Spectrum and Complexity of Interfacial Patterns in Non-equilibrium Solidification (P K Galenko); Modelling Pattern Formation Upon Laser-Induced Etching (M Haase); Synergetics as an Approach to Complexity in the Humanities (H Haken); Fractal Analysis of the Images Using Wavelet Transformation (P Jerabkova); Monitoring the Depth of Anaesthesia Using Fractal Complexity Method (W Klonowski); Description of Complex Systems in Terms of Self-Organization Processes of Prime Integer Relations (V Korotkikh); Genome as a Fractal 2D Walk (A Loskutov); Generalization of the DLA-Process with Different Inmiscible Components by Time-Scale Roughening (A Loskutov); Fractional Relaxation of Distributed Order (F Mainardi); Hierarchy of Cellular Automata in Relation to Control of Chaos or Anticontrol (M Markus); A Generative Construction and Visualization of 3D Fractal Measures (T Martyn); Markov Memory in Multifractal Natural Processes (F Pallikari); Fractals, Complexity and Chaos in Supply Chain Networks (M A Pearson); Complexity, Fractals, Nature and Industrial Design: Some Connections (N Sala); Simulation of Geochemical Banding in Acidization-Precipitation Experiments In Situ (R F Sultan); Clustering Phenomena in the Time Distribution of Lightning (L Telesca); Dynamical Decomposition of Multifractal Time Series as Fractal Evolution and Long-Term Cycles: Applications to Foreign Currency Exchange Market (A Turiel); The Complex Couplings and Gompertzian Dynamics (P W Waliszewski); The Competition Rule of the High Income Model and the Power-Law Exponents (K Y Yamamoto); The Distance Radio Fractal Image (X-Z Zhang). Key Features Contributions from famous nonlinear scientists such as H Haken, K Mainzer, Ch Mira, L Liebovitch and B West A unique blend of multidisciplinary topics A snapshot of current activities in the fields of fractals and complexity Readership: Academics in multidisciplinary research, primarily physics, mathematics, engineering, and life sciences.

Economic Complexity Chaos Sunspots Bubbles And Nonlinearity

Author : William Arnold Barnett
ISBN : 052135563X
Genre : Business & Economics
File Size : 86. 64 MB
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The contents of this volume comprise the proceedings of the International Symposia in Economic Theory and Econometrics conference held in 1987 at the IC^T2 (Innovation, Creativity, and Capital) Institute at the University of Texas at Austin. The essays present fundamental new research on the analysis of complicated outcomes in relatively simple macroeconomic models. The book covers econometric modelling and time series analysis techniques in five parts. Part I focuses on sunspot equilibria, the study of uncertainty generated by nonstochastic economic models. Part II examines the more traditional examples of deterministic chaos: bubbles, instability, and hyperinflation. Part III contains the most current literature dealing with empirical tests for chaos and strange attractors. Part IV deals with chaos and informational complexity. Part V, Nonlinear Econometric Modelling, includes tests for and applications of nonlinearity.

Nonlinear Science And Complexity

Author : J.A. Tenreiro Machado
ISBN : 9048198844
Genre : Technology & Engineering
File Size : 36. 27 MB
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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

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