Search results for: nonlinear-science-and-complexity

Nonlinear Science and Complexity

Author : J.A. Tenreiro Machado
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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

Nonlinear Dynamics and Complexity

Author : Valentin Afraimovich
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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.

Reviews of Nonlinear Dynamics and Complexity

Author : Heinz Georg Schuster
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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.

Symmetry and Complexity

Author : Klaus Mainzer
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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.

Nonlinear Science and Warfare

Author : Sean T. Lawson
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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 Science

Author : Zensho Yoshida
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Modern science has abstracted, as compensation for establishing rigorousness, the complexity of the real world, and has inclined toward oversimpli?ed ?ctitious n- ratives; as a result, a disjunction has emerged between the wisdom of science and reality. Re?ecting on this, we see the need for science to recover reality; can it reveal new avenues for thought and investigation of the complexity? The study of science is the pursuit of clarity and distinctness. Physics,after Galilei placed it in the realm of mathematics, has been trying to establish clearness by mathematical logic. While physics and mathematics, respectively, have different intellectual incentives, they have intersected in history on countless occasions and have woven a ?awless system of wisdom. The core of rigorous science is always made of mathematical logic; the laws of science cannot be represented without the language of mathematics. Conversely, it is undoubtedly dif?cult to stimulate ma- ematical intellect without a reference to the interests of science that are directed to the real world. However, various criticisms have been raised against the discourses of sciences that explain the events of the real world as if they are “governed” by mathematical laws. Sciences, being combined with technologies, have permeated, in the form of technical rationalism, the domain of life, politics, and even the psychological world. The criticisms accuse seemingly logical scienti?c narratives of being responsible for widespread destruction and emergence of crises, unprecedented suffering of hum- ity.

Nonlinear Science and Complexity

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Chaos and Complexity Theory for Management Nonlinear Dynamics

Author : Banerjee, Santo
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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.

A Nonlinear Dynamics Perspective of Wolfram s New Kind of Science

Author : Leon O. Chua
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This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. The book provides a scientifically sound and original analysis, and classifications of the empirical results presented in Wolfram's monumental "New Kind of Science." Contents: Threshold of Complexity; Universal Neuron; Predicting the Unpredictable. Key Features A compilation of papers that appeared in the International Journal of Bifurcation and Chaos Contains a highly readable, self-contained introduction Includes hundreds of color illustrations Readership: Graduate students, academics and researchers in nonlinear dynamics, computer science and complexity theory.

Nonlinear Dynamics Chaos and Complexity

Author : Dimitri Volchenkov
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Nonlinear Dynamics Complexity and Public Policy

Author : Euel W. Elliott
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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 in Nonlinear Electronic Circuits

Author : Maciej J. Ogorza?ek
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The basic procedures for designing and analysing electronic systems are based largely on the assumptions of linear behavior of the system. Nonlinearities inherent in all real applications very often cause unexpected and even strange behavior. This book presents an electronic engineer's perspective on chaos and complex behavior. It starts from basic mathematical notions which enable understanding of the observed phenomena, and guides the reader through the methodology and tools used in the laboratory and numerical experiments to interpretation and explanation of basic mechanisms. On typical circuit examples, it shows how the theoretical and empirical developments can be used in practice. Attention is drawn to applications of chaotic circuits as noise generators and the possible use of synchronized chaotic systems in information transmission and encryption. Chaos control is considered as a new, emerging area where electronic equipment and chaos theory could turn vital in biomedical and engineering issues.

Lectures In The Sciences Of Complexity

Author : Daniel L. Stein
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Foundations of Complex Systems

Author : Gregoire Nicolis
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A geometric process is a simple monotone process that was first introduced by the author in 1988. It is a generalization of renewal process. This book captures the extensive research work on geometric processes that has been done since then in both probability and statistics theory and various applications. Some results are published for the first time. A reference book for researchers and a handbook for practioners, it is also a useful textbook for postgraduate or senior undergraduate students.

Nonlinear Dynamics in Complex Systems

Author : Armin Fuchs
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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)

Introduction to Nonlinear Science

Author : G. Nicolis
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. This book will be of great value to graduate students in physics, applied mathematics, chemistry, engineering and biology taking courses in nonlinear science and its applications, as well as to researchers and teachers involved in one way or another in this field.

Complexity and the Nexus of Leadership

Author : Jeffrey Goldstein
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Using leadership to generate greater innovation, connectivity, and organizational transformation is crucial for success in this challenging era. The authors present here a new approach to leadership based on findings from complexity science. Integrating real case studies with rigorous research results, they explore the biggest challenges being faced in fast-paced organizations, and provide a host of concrete tools for leading during critical periods, catalyzing novelty, expanding networks, and generating transformative change throughout an organization.

Thinking in Complexity

Author : Klaus Mainzer
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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.

Social Science and Complexity

Author : Ian Trevor King
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The various tasks of this book are handled in four parts. In Part One, The Natural Sciences and the Social Sciences, two related questions will be addressed in order to contextualise the whole book's relevance and the legitimacy of the questions it asks and of the points it wishes to make. In five chapters in Part Two, The Holistic-Relational Sciences, I lay out the basic premises of the four 'dissenting' sciences -- quantum-holography, chaos theory, neo-evolutionary theory, and complexity theory/self-organised criticality -- as well as demonstrate their shared holism in as a non-technical a jargon as possible and with special reference to the kinds of substantive and methodological interests that the social sciences tend to share. Part Three, Dimensions of Holistic-Relational Social Science, consisting of nine chapters, extends the discussion in Part Two by dealing with specific elements of the holistic-relational sciences in more detail, and by beginning to demonstrate how they apply to the social sciences as presently constituted and how they influence the debates which currently exercise the minds of both methodologists and philosophers in the social sciences. The final three chapters which make up Part Four, Holistic-Relational Social Science, Politics, and Economics, as already hinted at above, return to the subject-matter first raised in Chapter Two, that a holistic-relational science will necessarily lead to an alternative and complementary notion of politics and public policy.

Chaos and Complexity in Psychology

Author : Stephen J. Guastello
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While many books have discussed methodological advances in nonlinear dynamical systems theory (NDS), this volume is unique in its focus on NDS's role in the development of psychological theory. After an introductory chapter covering the fundamentals of chaos, complexity and other nonlinear dynamics, subsequent chapters provide in-depth coverage of each of the specific topic areas in psychology. A concluding chapter takes stock of the field as a whole, evaluating important challenges for the immediate future. The chapters are written by experts in the use of NDS in each of their respective areas, including biological, cognitive, developmental, social, organizational and clinical psychology. Each chapter provides an in-depth examination of theoretical foundations and specific applications and a review of relevant methods. This edited collection represents the state of the art in NDS science across the disciplines of psychology.