Dynamics Of Complex Systems

Dynamics Of Complex Systems

This book aims to develop models and modeling techniques that are useful when applied to all complex systems.

Author: Yaneer Bar-yam

Publisher: CRC Press

ISBN: 9780429697586

Category: Mathematics

Page: 864

View: 459

This book aims to develop models and modeling techniques that are useful when applied to all complex systems. It adopts both analytic tools and computer simulation. The book is intended for students and researchers with a variety of backgrounds.
Categories: Mathematics

Stochastic Dynamics of Complex Systems

Stochastic Dynamics of Complex Systems

Complex Dynamics: Tools and Applications: Characterization of Collective Dynamics; Markovian Stochastic Processes; Monte Carlo Methods; Record Statistics and Extremal Statistics; Complexity and Hierarchies; Energy Landscapes; Record ...

Author: Paolo Sibani

Publisher:

ISBN: 1848169930

Category: Mathematics

Page: 281

View: 921

Complex Dynamics: Tools and Applications: Characterization of Collective Dynamics; Markovian Stochastic Processes; Monte Carlo Methods; Record Statistics and Extremal Statistics; Complexity and Hierarchies; Energy Landscapes; Record Dynamics and Marginal Stability; Complex Systems with Similar Dynamics: Ageing of Spin Glasses; Magnetic Relaxation in Superconductors; Ageing of Colloids; Evolving Biological Systems; Non-stationary Ageing Dynamics in Ant Societies; Epilogue: What is Complexity Science?
Categories: Mathematics

Geometrical Dynamics of Complex Systems

Geometrical Dynamics of Complex Systems

The main objective of this book is to show that high-dimensional nonlinear systems and processes of 'real life' can be modelled and analyzed using rigorous mathematics, which enables their complete predictability and controllability, as if ...

Author: Vladimir G Ivancevic

Publisher: Springer

ISBN: 9401776490

Category:

Page: 852

View: 641

Geometrical Dynamics of Complex Systems is a graduate-level monographic textbook. Itrepresentsacomprehensiveintroductionintorigorousgeometrical dynamicsofcomplexsystemsofvariousnatures. By'complexsystems', inthis book are meant high-dimensional nonlinear systems, which can be (but not necessarily are) adaptive. This monograph proposes a uni?ed geometrical - proachtodynamicsofcomplexsystemsofvariouskinds: engineering, physical, biophysical, psychophysical, sociophysical, econophysical, etc. As their names suggest, all these multi-input multi-output (MIMO) systems have something in common: the underlying physics. However, instead of dealing with the pop- 1 ular 'soft complexity philosophy', we rather propose a rigorous geometrical and topological approach. We believe that our rigorous approach has much greater predictive power than the soft one. We argue that science and te- nology is all about prediction and control. Observation, understanding and explanation are important in education at undergraduate level, but after that it should be all prediction and control. The main objective of this book is to show that high-dimensional nonlinear systems and processes of 'real life' can be modelled and analyzed using rigorous mathematics, which enables their complete predictability and controllability, as if they were linear systems. It is well-known that linear systems, which are completely predictable and controllable by de?nition - live only in Euclidean spaces (of various - mensions). They are as simple as possible, mathematically elegant and fully elaborated from either scienti?c or engineering side. However, in nature, no- ing is linear. In reality, everything has a certain degree of nonlinearity, which means: unpredictability, with subsequent uncontrollability.
Categories:

The Local Information Dynamics of Distributed Computation in Complex Systems

The Local Information Dynamics of Distributed Computation in Complex Systems

The nature of distributed computation in complex systems has often been described in terms of memory, communication and processing.

Author: Joseph T. Lizier

Publisher: Springer Science & Business Media

ISBN: 9783642329524

Category: Technology & Engineering

Page: 236

View: 307

The nature of distributed computation in complex systems has often been described in terms of memory, communication and processing. This thesis presents a complete information-theoretic framework to quantify these operations on information (i.e. information storage, transfer and modification), and in particular their dynamics in space and time. The framework is applied to cellular automata, and delivers important insights into the fundamental nature of distributed computation and the dynamics of complex systems (e.g. that gliders are dominant information transfer agents). Applications to several important network models, including random Boolean networks, suggest that the capability for information storage and coherent transfer are maximised near the critical regime in certain order-chaos phase transitions. Further applications to study and design information structure in the contexts of computational neuroscience and guided self-organisation underline the practical utility of the techniques presented here.
Categories: Technology & Engineering

Nonlinear Dynamics in Complex Systems

Nonlinear Dynamics in Complex Systems

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 ...

Author: Armin Fuchs

Publisher: Springer Science & Business Media

ISBN: 9783642335525

Category: Mathematics

Page: 238

View: 228

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)
Categories: Mathematics

Slow Dynamics in Complex Systems

Slow Dynamics in Complex Systems

This book gives up-to-date information on the liquid-glass transition in various disciplines, such as physics, chemistry, biology, engineering, polymer science, and computer science.

Author: American Institute of Physics

Publisher: American Institute of Physics

ISBN: UOM:39015061320274

Category: Science

Page: 829

View: 662

This book gives up-to-date information on the liquid-glass transition in various disciplines, such as physics, chemistry, biology, engineering, polymer science, and computer science. The book contains review articles by leading scientists and contributed papers by authors in the forefront of research. The systems studied covered almost all states of matter including solids, liquids, complex solutions, polymers, and suspensions. Significant progress was made on a variety of topics. Among these were experimental and theoretical studies of colloidal systems; experiments on glass to glass transitions in micellar systems; theoretical studies of polyelectrolytes and polymer melts and networks; theoretical and computer studies of hydrodynamics in suspensions and Rayleigh-Taylor and Rayleigh-Couette instabilities; theoretical and experimental studies of the glass transition; computer simulations of the glass transition in thin films; vibrational motions in glass forming liquids and glasses; the effects of shear on supercooled liquids; engineering and experimental studies of metallic glasses; mode-coupling studies of complex glass formation; and Lorentz gas studies of the translational and rotational motion of a rigid rod.
Categories: Science

Fault Diagnosis of Hybrid Dynamic and Complex Systems

Fault Diagnosis of Hybrid Dynamic and Complex Systems

This book presents recent and advanced approaches and techniques that address the complex problem of fault diagnosis of hybrid dynamic and complex systems using different model-based and data-driven approaches in different application ...

Author: Moamar Sayed-Mouchaweh

Publisher: Springer

ISBN: 9783319740140

Category: Technology & Engineering

Page: 286

View: 316

Online fault diagnosis is crucial to ensure safe operation of complex dynamic systems in spite of faults affecting the system behaviors. Consequences of the occurrence of faults can be severe and result in human casualties, environmentally harmful emissions, high repair costs, and economical losses caused by unexpected stops in production lines. The majority of real systems are hybrid dynamic systems (HDS). In HDS, the dynamical behaviors evolve continuously with time according to the discrete mode (configuration) in which the system is. Consequently, fault diagnosis approaches must take into account both discrete and continuous dynamics as well as the interactions between them in order to perform correct fault diagnosis. This book presents recent and advanced approaches and techniques that address the complex problem of fault diagnosis of hybrid dynamic and complex systems using different model-based and data-driven approaches in different application domains (inductor motors, chemical process formed by tanks, reactors and valves, ignition engine, sewer networks, mobile robots, planetary rover prototype etc.). These approaches cover the different aspects of performing single/multiple online/offline parametric/discrete abrupt/tear and wear fault diagnosis in incremental/non-incremental manner, using different modeling tools (hybrid automata, hybrid Petri nets, hybrid bond graphs, extended Kalman filter etc.) for different classes of hybrid dynamic and complex systems.
Categories: Technology & Engineering

Foundations of Complex Systems

Foundations of Complex Systems

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.

Author: G. Nicolis

Publisher: World Scientific

ISBN: 9789812700438

Category: Mathematics

Page: 328

View: 614

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.
Categories: Mathematics

Nonlinear and Complex Dynamics

Nonlinear and Complex Dynamics

The book also: Presents, for the first time in one volume, methods and applications that can be used to analyze celestial systems Shows how nonlinear dynamics can be used to analyze complex biological systems and address problems such as ...

Author: José António Tenreiro Machado

Publisher: Springer Science & Business Media

ISBN: 146140231X

Category: Technology & Engineering

Page: 332

View: 383

Nonlinear Dynamics of Complex Systems describes chaos, fractal and stochasticities within celestial mechanics, financial systems and biochemical systems. Part I discusses methods and applications in celestial systems and new results in such areas as low energy impact dynamics, low-thrust planar trajectories to the moon and earth-to-halo transfers in the sun, earth and moon. Part II presents the dynamics of complex systems including bio-systems, neural systems, chemical systems and hydro-dynamical systems. Finally, Part III covers economic and financial systems including market uncertainty, inflation, economic activity and foreign competition and the role of nonlinear dynamics in each.
Categories: Technology & Engineering

Geometrical Dynamics of Complex Systems

Geometrical Dynamics of Complex Systems

The main objective of this book is to show that high-dimensional nonlinear systems and processes of 'real life' can be modelled and analyzed using rigorous mathematics, which enables their complete predictability and controllability, as if ...

Author: Vladimir G. Ivancevic

Publisher: Taylor & Francis

ISBN: 1402045441

Category: Language Arts & Disciplines

Page: 822

View: 99

Geometrical Dynamics of Complex Systems is a graduate-level monographic textbook. Itrepresentsacomprehensiveintroductionintorigorousgeometrical dynamicsofcomplexsystemsofvariousnatures. By'complexsystems', inthis book are meant high-dimensional nonlinear systems, which can be (but not necessarily are) adaptive. This monograph proposes a uni?ed geometrical - proachtodynamicsofcomplexsystemsofvariouskinds: engineering, physical, biophysical, psychophysical, sociophysical, econophysical, etc. As their names suggest, all these multi-input multi-output (MIMO) systems have something in common: the underlying physics. However, instead of dealing with the pop- 1 ular 'soft complexity philosophy', we rather propose a rigorous geometrical and topological approach. We believe that our rigorous approach has much greater predictive power than the soft one. We argue that science and te- nology is all about prediction and control. Observation, understanding and explanation are important in education at undergraduate level, but after that it should be all prediction and control. The main objective of this book is to show that high-dimensional nonlinear systems and processes of 'real life' can be modelled and analyzed using rigorous mathematics, which enables their complete predictability and controllability, as if they were linear systems. It is well-known that linear systems, which are completely predictable and controllable by de?nition - live only in Euclidean spaces (of various - mensions). They are as simple as possible, mathematically elegant and fully elaborated from either scienti?c or engineering side. However, in nature, no- ing is linear. In reality, everything has a certain degree of nonlinearity, which means: unpredictability, with subsequent uncontrollability.
Categories: Language Arts & Disciplines

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: 391

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

Complex Systems and Networks

Complex Systems and Networks

This elementary book provides some state-of-the-art research results on broad disciplinary sciences on complex networks. It presents an in-depth study with detailed description of dynamics, controls and applications of complex networks.

Author: Jinhu Lu

Publisher: Springer

ISBN: 3662478234

Category: Technology & Engineering

Page: 482

View: 515

This elementary book provides some state-of-the-art research results on broad disciplinary sciences on complex networks. It presents an in-depth study with detailed description of dynamics, controls and applications of complex networks. The contents of this book can be summarized as follows. First, the dynamics of complex networks, for example, the cluster dynamic analysis by using kernel spectral methods, community detection algorithms in bipartite networks, epidemiological modeling with demographics and epidemic spreading on multi-layer networks, are studied. Second, the controls of complex networks are investigated including topics like distributed finite-time cooperative control of multi-agent systems by applying homogenous-degree and Lyapunov methods, composite finite-time containment control for disturbed second-order multi-agent systems, fractional-order observer design of multi-agent systems, chaos control and anticontrol of complex systems via Parrondos game and many more. Third, the applications of complex networks provide some applicable carriers, which show the importance of theories developed in complex networks. In particular, a general model for studying time evolution of transition networks, deflection routing in complex networks, recommender systems for social networks analysis and mining, strategy selection in networked evolutionary games, integration and methods in computational biology, are discussed in detail.
Categories: Technology & Engineering

The Evolutionary Dynamics of Complex Systems

The Evolutionary Dynamics of Complex Systems

The book seeks unities among things often thought to be different from one another; but it also insists on the differences among things often squashed into unities.

Author: Charles Dyke

Publisher: Oxford University Press on Demand

ISBN: UCAL:B4964456

Category: Science

Page: 161

View: 121

Dyke examines the controversial topics of sociobiology and evolution from scientific and philosophical perspectives. At issue are the basic underpinnings of biology: explanation, determination, teleology, reductionism, and hierarchy. The author proposes that progress in sociobiology and evolution is hindered by an outmoded philosophical view of science that does not adequately take into account recent advances in our understanding of basic biological processes. His goal is to shift the focus from a philosophical understanding based on observation from outside biology to a dynamic, philosophically aware science.
Categories: Science

Thinking in Complexity

Thinking in Complexity

Since the first edition sold out in less than a year, we now present the revised second edition of Mainzer's popular book.

Author: Klaus Mainzer

Publisher: Springer Science & Business Media

ISBN: 9783662033050

Category: Science

Page: 351

View: 720

Since the first edition sold out in less than a year, we now present the revised second edition of Mainzer's popular book. The theory of nonlinear complex systems has become a successful problem-solving approach in the natural sciences from laser physics, quantum chaos, and meteorology to computer simulations of cell growth in biology. It is now recognized that many of our social, ecological, and political problems are also of a global, complex, and nonlinear nature. And one of the most exciting contemporary topics is the idea that even the human mind is governed largely by the nonlinear dynamics of complex systems. In this wide-ranging but concise treatment, Prof. Mainzer discusses, in a nontechnical language, the common framework behind these endeavors. Emphasis is given to the evolution of new structures in natural and cultural systems and we see clearly how the new integrative approach can give insights not available from traditional reductionistic methods.
Categories: Science

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: 111

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

Model Emergent Dynamics in Complex Systems

Model Emergent Dynamics in Complex Systems

Importantly, such quadratic forcing, in effect, generates a mean deterministic drift
term in the slow dynamics (Sri Namachchivaya and Leng, 1990; Sri
Namachchivaya and Lin, 1991, e.g.). In applications such drifts can be vital. The
issue then is ...

Author: A. J. Roberts

Publisher: SIAM

ISBN: 9781611973556

Category: Mathematics

Page: 748

View: 354

Arising out of the growing interest in and applications of modern dynamical systems theory, this book explores how to derive relatively simple dynamical equations that model complex physical interactions.÷ The author?s objectives are to use sound theory to explore algebraic techniques, develop interesting applications, and discover general modeling principles.÷
Categories: Mathematics

Complex Systems in Finance and Econometrics

Complex Systems in Finance and Econometrics

The text integrates complexity with deterministic equations and concepts from real world examples, and appeals to a broad audience.

Author: Robert A. Meyers

Publisher: Springer Science & Business Media

ISBN: 9781441977007

Category: Business & Economics

Page: 406

View: 559

"This book consists of selections from the Encyclopedia of complexity and systems science edited by Robert A. Myers"--T.p. verso.
Categories: Business & Economics