Chaos Nonlinearity Complexity

Chaos  Nonlinearity  Complexity

This book explores non-extensive statistical mechanics in non-equilibrium thermodynamics, and presents an overview of the strong nonlinearity of chaos and complexity in natural systems, drawing on relevant mathematics from topology, measure ...

Author: Ashok Sengupta

Publisher: Springer Science & Business Media

ISBN: 9783540317562

Category: Computers

Page: 358

View: 222

This book explores non-extensive statistical mechanics in non-equilibrium thermodynamics, and presents an overview of the strong nonlinearity of chaos and complexity in natural systems, drawing on relevant mathematics from topology, measure-theory, inverse and ill-posed problems, set-valued analysis, and nonlinear functional analysis. It offers a self-contained theory of complexity and complex systems as the steady state of non-equilibrium systems, denoting a homeostatic dynamic equilibrium between stabilizing order and destabilizing disorder.
Categories: Computers

Nonlinearity Chaos and Complexity

Nonlinearity  Chaos  and Complexity

Covering a broad range of topics and adopting a detailed philosophical approach to the subject, this text provides a comprehensive survey of the modelling of chaotic dynamics and complexity in the natural and social sciences.

Author: Cristoforo Sergio Bertuglia

Publisher: Oxford University Press on Demand

ISBN: 9780198567905

Category: Mathematics

Page: 387

View: 988

Covering a broad range of topics and adopting a detailed philosophical approach to the subject, this text provides a comprehensive survey of the modelling of chaotic dynamics and complexity in the natural and social sciences.
Categories: Mathematics

Chaos and Complexity Theory for Management Nonlinear Dynamics

Chaos and Complexity Theory for Management  Nonlinear Dynamics

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.

Author: Banerjee, Santo

Publisher: IGI Global

ISBN: 9781466625105

Category: Business & Economics

Page: 449

View: 654

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.
Categories: Business & Economics

Handbook of Nonlinearity Chaos and Complexity Methods for Scientists and Engineers

Handbook of Nonlinearity  Chaos  and Complexity Methods for Scientists and Engineers

This book contains an easytofollow essence of non-linearity, chaos and complexity methods for modelling complex dynamical systems, extracted from our seven graduate-level monographs.

Author: Vladimir G. Ivancevic

Publisher: Nova Science Pub Incorporated

ISBN: 1612099378

Category: Mathematics

Page: 435

View: 511

This book contains an easytofollow essence of non-linearity, chaos and complexity methods for modelling complex dynamical systems, extracted from our seven graduate-level monographs. Topics discussed include the basics of non-linear and chaotic dynamics; chaos in continuous and discrete dynamics; non-linear complexity in neurodynamics and cancer dynamics; non-linear complexity in injury dynamics; non-linear complexity in crowd dynamics and spatio-temporal complexity.
Categories: Mathematics

Chaos and Complexity in Nonlinear Electronic Circuits

Chaos and Complexity in Nonlinear Electronic Circuits

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.

Author: Maciej J. Ogorza?ek

Publisher: World Scientific

ISBN: 9810228732

Category: Science

Page: 276

View: 882

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.
Categories: Science

Complex Nonlinearity

Complex Nonlinearity

The objective of this book is to provide a serious reader with a serious scientific tool that will enable them to actually perform a competitive research in modern complex nonlinearity.

Author: Vladimir G. Ivancevic

Publisher: Springer Science & Business Media

ISBN: 9783540793571

Category: Science

Page: 844

View: 350

Complex Nonlinearity: Chaos, Phase Transitions, Topology Change and Path Integrals is a book about prediction & control of general nonlinear and chaotic dynamics of high-dimensional complex systems of various physical and non-physical nature and their underpinning geometro-topological change. The book starts with a textbook-like expose on nonlinear dynamics, attractors and chaos, both temporal and spatio-temporal, including modern techniques of chaos–control. Chapter 2 turns to the edge of chaos, in the form of phase transitions (equilibrium and non-equilibrium, oscillatory, fractal and noise-induced), as well as the related field of synergetics. While the natural stage for linear dynamics comprises of flat, Euclidean geometry (with the corresponding calculation tools from linear algebra and analysis), the natural stage for nonlinear dynamics is curved, Riemannian geometry (with the corresponding tools from nonlinear, tensor algebra and analysis). The extreme nonlinearity – chaos – corresponds to the topology change of this curved geometrical stage, usually called configuration manifold. Chapter 3 elaborates on geometry and topology change in relation with complex nonlinearity and chaos. Chapter 4 develops general nonlinear dynamics, continuous and discrete, deterministic and stochastic, in the unique form of path integrals and their action-amplitude formalism. This most natural framework for representing both phase transitions and topology change starts with Feynman’s sum over histories, to be quickly generalized into the sum over geometries and topologies. The last Chapter puts all the previously developed techniques together and presents the unified form of complex nonlinearity. Here we have chaos, phase transitions, geometrical dynamics and topology change, all working together in the form of path integrals. The objective of this book is to provide a serious reader with a serious scientific tool that will enable them to actually perform a competitive research in modern complex nonlinearity. It includes a comprehensive bibliography on the subject and a detailed index. Target readership includes all researchers and students of complex nonlinear systems (in physics, mathematics, engineering, chemistry, biology, psychology, sociology, economics, medicine, etc.), working both in industry/clinics and academia.
Categories: Science

Economic Complexity Chaos Sunspots Bubbles and Nonlinearity

Economic Complexity  Chaos  Sunspots  Bubbles  and Nonlinearity

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.

Author: William Arnold Barnett

Publisher: Cambridge University Press

ISBN: 052135563X

Category: Business & Economics

Page: 409

View: 794

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.
Categories: Business & Economics

Nonlinear Dynamics Chaos and Complexity

Nonlinear Dynamics  Chaos  and Complexity

This book demonstrates how mathematical methods and techniques can be used in synergy and create a new way of looking at complex systems.

Author: Dimitri Volchenkov

Publisher: Springer Nature

ISBN: 9789811590344

Category:

Page:

View: 541

Categories:

Chaos and Complexity in Psychology

Chaos and Complexity in 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.

Author: Stephen J. Guastello

Publisher: Cambridge University Press

ISBN: 9781139867269

Category: Psychology

Page:

View: 827

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.
Categories: Psychology

Nonlinear Psychoanalysis

Nonlinear Psychoanalysis

This book is full of new ideas about the basic nonlinear processes of human development, nonlinear views of gender and fundamental psychoanalytic process like working through, and the nature of the therapeutic process as conceptualized in ...

Author: Robert M. Galatzer-Levy

Publisher: Taylor & Francis

ISBN: 9781351970211

Category: Psychology

Page: 272

View: 117

Nonlinear concepts from chaos theory, complexity studies, and fractal geometry have transformed the way we think about the mind. Nonlinear Psychoanalysis shows how nonlinear dynamics can be integrated with psychoanalytic thinking to shed new light on psychological development, therapeutic processes, and fundamental psychoanalytic concepts. Starting with a personal history of the author’s engagement with nonlinear dynamics and psychoanalysis, this book describes how his approach applies to diagnosis of psychological conditions, concepts of normal and pathological development, gender, research methods, and finally the theory and practice of psychoanalysis and psychodynamic psychotherapy. This book is full of new ideas about the basic nonlinear processes of human development, nonlinear views of gender and fundamental psychoanalytic process like working through, and the nature of the therapeutic process as conceptualized in terms of the theory of coupled oscillators. Galatzer-Levy questions many standard psychoanalytic formulations and points to a freer practice of psychoanalysis and psychoanalytic thinking. His new approach opens the reader’s eyes to ways in which development and treatment can occur through processes not now included in standard psychoanalytic theory. The book not only provides useful theories but also helps readers take note of commonly passed over phenomena that were unseen for lack of a theory to explain them. Galatzer-Levy brings an unusual combination of training in psychiatry, psychoanalysis, and mathematics to this unique study, which summarizes his forty years of exploration of nonlinearity and psychoanalysis. Nonlinear Psychoanalysis will appeal to psychoanalysts and psychotherapists as well as students of nonlinear dynamics systems.
Categories: Psychology

Chaos And Complexity

Chaos And Complexity

The nature of this book is to emphasize the inherent complexity and richness of the human experience of change.

Author: Michael R. Butz

Publisher: CRC Press

ISBN: 156032418X

Category: Medical

Page: 271

View: 715

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.
Categories: Medical

Nonlinear Science and Warfare

Nonlinear Science and Warfare

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.

Author: Sean T. Lawson

Publisher: Routledge

ISBN: 9781135020187

Category: History

Page: 200

View: 868

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.
Categories: History

From Hamiltonian Chaos to Complex Systems

From Hamiltonian Chaos to Complex Systems

This book also: Illustrates the broad research influence of tools coming from dynamical systems, nonlinear physics, and statistical dynamics Adopts a pedagogic approach to facilitate understanding by non-specialists and students Presents ...

Author: Xavier Leoncini

Publisher: Springer Science & Business Media

ISBN: 9781461469629

Category: Technology & Engineering

Page: 325

View: 691

From Hamiltonian Chaos to Complex Systems: A Nonlinear Physics Approach collects contributions on recent developments in non-linear dynamics and statistical physics with an emphasis on complex systems. This book provides a wide range of state-of-the-art research in these fields. The unifying aspect of this book is demonstration of how similar tools coming from dynamical systems, nonlinear physics, and statistical dynamics can lead to a large panorama of research in various fields of physics and beyond, most notably with the perspective of application in complex systems.
Categories: Technology & Engineering

Chaos and Complex Systems

Chaos and Complex Systems

This book presents the proceedings of the “5th International Interdisciplinary Chaos Symposium on Chaos and Complex Systems (CCS).” All Symposia in the series bring together scientists, engineers, economists and social scientists, ...

Author: Stavros G. Stavrinides

Publisher: Springer Nature

ISBN: 9783030354411

Category: Science

Page: 165

View: 594

This book presents the proceedings of the “5th International Interdisciplinary Chaos Symposium on Chaos and Complex Systems (CCS).” All Symposia in the series bring together scientists, engineers, economists and social scientists, creating a vivid forum for discussions on the latest insights and findings obtained in the areas of complexity, nonlinear dynamics and chaos theory, as well as their interdisciplinary applications. The scope of the latest Symposium was enriched with a variety of contemporary, interdisciplinary topics, including but not limited to: fundamental theory of nonlinear dynamics, networks, circuits, systems, biology, evolution and ecology, fractals and pattern formation, nonlinear time series analysis, neural networks, sociophysics and econophysics, complexity management and global systems.
Categories: Science

Complex Motions and Chaos in Nonlinear Systems

Complex Motions and Chaos in Nonlinear Systems

Commun Nonlinear Sci Numer Simul 17:1929–1946 10. Akhmet MU, Fen MO (
2012) Chaos generation in hyperbolic systems. Interdiscip J Discontin
Nonlinearity Complex 1:367–386 11. Akhmet MU, Fen MO (2013) Replication of
chaos.

Author: Valentin Afraimovich

Publisher: Springer

ISBN: 9783319287645

Category: Technology & Engineering

Page: 276

View: 907

This book brings together 12 chapters on a new stream of research examining complex phenomena in nonlinear systems—including engineering, physics, and social science. Complex Motions and Chaos in Nonlinear Systems provides readers a particular vantage of the nature and nonlinear phenomena in nonlinear dynamics that can develop the corresponding mathematical theory and apply nonlinear design to practical engineering as well as the study of other complex phenomena including those investigated within social science.
Categories: Technology & Engineering

Clinical Chaos

Clinical Chaos

At last, the scientific search can again encompass surprise, transformation, unpredictability, and pattern. This book is intended to introduce social scientists to chaos through paths that are already familiar.

Author: Linda L. Chamberlain

Publisher: Psychology Press

ISBN: 0876309260

Category: Psychology

Page: 225

View: 335

Psychology and the social sciences are in need of a new foundation, one that provides a better model for understanding complex behavior. Chaos theory and its newest permutation, complexity theory, offers an innovative, exciting and potentially revolutionary leap forward in the evolution of scientific thought. In Clinical Chaos, therapists and theoreticians from various areas in the social sciences will explore the relevance and implications for non-linear dynamics in observing, explaining, and understanding human behavior. At last, the scientific search can again encompass surprise, transformation, unpredictability, and pattern. This book is intended to introduce social scientists to chaos through paths that are already familiar. By linking chaos theory with existing psychological theories and established areas of clinical pursuit, Clinical Chaos emphasizes the relevance of this new science in providing a more flexible useful model for complexities of life.
Categories: Psychology

Instabilities Chaos and Turbulence

Instabilities  Chaos and Turbulence

This book is an introduction to the application of nonlinear dynamics to problems of stability, chaos and turbulence arising in continuous media and their connection to dynamical systems.

Author: Paul Manneville

Publisher: Imperial College Press

ISBN: 1860944914

Category: Science

Page: 391

View: 379

This book is an introduction to the application of nonlinear dynamics to problems of stability, chaos and turbulence arising in continuous media and their connection to dynamical systems. With an emphasis on the understanding of basic concepts, it should be of interest to nearly any science-oriented undergraduate and potentially to anyone who wants to learn about recent advances in the field of applied nonlinear dynamics. Technicalities are, however, not completely avoided. They are instead explained as simply as possible using heuristic arguments and specific worked examples.
Categories: Science

A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems

A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems

This book collects recent developments in nonlinear and complex systems.

Author: Elbert E. N. Macau

Publisher: Springer

ISBN: 9783319785127

Category: Technology & Engineering

Page: 228

View: 106

This book collects recent developments in nonlinear and complex systems. It provides up-to-date theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers symmetry groups, conservation laws, risk reduction management, barriers in Hamiltonian systems, and synchronization and chaotic transient. Illustrating mathematical modeling applications to nonlinear physics and nonlinear engineering, the book is ideal for academic and industrial researchers concerned with machinery and controls, manufacturing, and controls. · Introduces new concepts for understanding and modeling complex systems; · Explains risk reduction management in complex systems; · Examines the symmetry group approach to understanding complex systems; · Illustrates the relation between transient chaos and crises.
Categories: Technology & Engineering

Chaos Complexity and Leadership 2016

Chaos  Complexity and Leadership 2016

This book covers the proceedings from the 2016 International Symposium on Chaos, Complexity and Leadership, and reflects current research results of chaos and complexity studies and their applications in various fields.

Author: Şefika Şule Erçetin

Publisher: Springer

ISBN: 9783319645544

Category: Business & Economics

Page: 770

View: 704

This book covers the proceedings from the 2016 International Symposium on Chaos, Complexity and Leadership, and reflects current research results of chaos and complexity studies and their applications in various fields. Included are research papers in the fields of applied nonlinear methods, modeling of data and simulations, as well as theoretical achievements of chaos and complex systems. Also discussed are leadership and management applications of chaos and complexity theory.
Categories: Business & Economics

Nonlinear Physics for Beginners

Nonlinear Physics for Beginners

The three parts of this book contains the basics of nonlinear science, with applications in physics. Part I contains an overview of fractals, chaos, solitons, pattern formation, cellular automata and complex systems.

Author: Lui Lam

Publisher: World Scientific

ISBN: 9810201419

Category: Science

Page: 338

View: 993

Almost all real systems are nonlinear. For a nonlinear system the superposition principle breaks down: The system's response is not proportional to the stimulus it receives; the whole is more than the sum of its parts. The three parts of this book contains the basics of nonlinear science, with applications in physics. Part I contains an overview of fractals, chaos, solitons, pattern formation, cellular automata and complex systems. In Part II, 14 reviews and essays by pioneers, as well as 10 research articles are reprinted. Part III collects 17 students projects, with computer algorithms for simulation models included.The book can be used for self-study, as a textbook for a one-semester course, or as supplement to other courses in linear or nonlinear systems. The reader should have some knowledge in introductory college physics. No mathematics beyond calculus and no computer literacy are assumed.
Categories: Science