Symmetry in Complex Systems

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Publisher : MDPI
ISBN 13 : 303936894X
Total Pages : 118 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Symmetry in Complex Systems by : J. A. Tenreiro Machado

Download or read book Symmetry in Complex Systems written by J. A. Tenreiro Machado and published by MDPI. This book was released on 2021-01-21 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex systems with symmetry arise in many fields, at various length scales, including financial markets, social, transportation, telecommunication and power grid networks, world and country economies, ecosystems, molecular dynamics, immunology, living organisms, computational systems, and celestial and continuum mechanics. The emergence of new orders and structures in complex systems means symmetry breaking and transitions from unstable to stable states. Modeling complexity has attracted many researchers from different areas, dealing both with theoretical concepts and practical applications. This Special Issue fills the gap between the theory of symmetry-based dynamics and its application to model and analyze complex systems.

Symmetry in Complex Network Systems

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Publisher : Springer
ISBN 13 : 366255545X
Total Pages : 406 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Symmetry in Complex Network Systems by : Visarath In

Download or read book Symmetry in Complex Network Systems written by Visarath In and published by Springer. This book was released on 2017-09-05 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book bridges the current gap between the theory of symmetry-based dynamics and its application to model and analyze complex systems. As an alternative approach, the authors use the symmetry of the system directly to formulate the appropriate models, and also to analyze the dynamics. Complex systems with symmetry arise in a wide variety of fields, including communication networks, molecular dynamics, manufacturing businesses, ecosystems, underwater vehicle dynamics, celestial and spacecraft dynamics and continuum mechanics. A general approach for their analysis has been to derive a detailed model of their individual parts, connect the parts and note that the system contains some sort of symmetry, then attempt to exploit this symmetry in order to simplify numerical computations. This approach can result in highly complicated models that are difficult to analyze even numerically. The alternative approach, while nonstandard, is not entirely new among the mathematics community. However, there is much less familiarity with the techniques of symmetry-breaking bifurcation, as they apply to the engineering, design and fabrication, of complex systems, in particular, nonlinear sensor devices with special emphasis on the conceptualization and development of new technologies of magnetic sensors such as fluxgate magnetometers and SQUID (Superconducting Quantum Interference Devices), E-- (electric-field) sensors, and communication and navigation systems that require multiple frequencies of operation, such as radar and antenna devices as well as gyroscopic systems.

Symmetry in Complex Systems

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Author :
Publisher :
ISBN 13 : 9783039368952
Total Pages : 118 pages
Book Rating : 4.3/5 (689 download)

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Book Synopsis Symmetry in Complex Systems by : J. A. Tenreiro Machado

Download or read book Symmetry in Complex Systems written by J. A. Tenreiro Machado and published by . This book was released on 2020 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex systems with symmetry arise in many fields, at various length scales, including financial markets, social, transportation, telecommunication and power grid networks, world and country economies, ecosystems, molecular dynamics, immunology, living organisms, computational systems, and celestial and continuum mechanics. The emergence of new orders and structures in complex systems means symmetry breaking and transitions from unstable to stable states. Modeling complexity has attracted many researchers from different areas, dealing both with theoretical concepts and practical applications. This Special Issue fills the gap between the theory of symmetry-based dynamics and its application to model and analyze complex systems.

Symmetry and Complexity

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Author :
Publisher : World Scientific
ISBN 13 : 9812561927
Total Pages : 448 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Symmetry and Complexity by : Klaus Mainzer

Download or read book Symmetry and Complexity written by Klaus Mainzer and published by World Scientific. This book was released on 2005 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cosmic evolution leads from symmetry to complexity by symmetry breaking and phase transitions. The emergence of new order and structure in nature and society is explained by physical, chemical, biological, social and economic self-organization, according to the laws of nonlinear dynamics. All these dynamical systems are considered computational systems processing information and entropy. Are symmetry and complexity only useful models of science or are they universals of reality? Symmetry and Complexity discusses the fascinating insights gained from natural, social and computer sciences, philosophy and the arts. With many diagrams and pictures, this book illustrates the spirit and beauty of nonlinear science. In the complex world of globalization, it strongly argues for unity in diversity.

Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems

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Author :
Publisher : MDPI
ISBN 13 : 3039288792
Total Pages : 118 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems by : Nicola Bellomo

Download or read book Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems written by Nicola Bellomo and published by MDPI. This book was released on 2020-05-29 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This MPDI book comprises a number of selected contributions to a Special Issue devoted to the modeling and simulation of living systems based on developments in kinetic mathematical tools. The focus is on a fascinating research field which cannot be tackled by the approach of the so-called hard sciences—specifically mathematics—without the invention of new methods in view of a new mathematical theory. The contents proposed by eight contributions witness the growing interest of scientists this field. The first contribution is an editorial paper which presents the motivations for studying the mathematics and physics of living systems within the framework an interdisciplinary approach, where mathematics and physics interact with specific fields of the class of systems object of modeling and simulations. The different contributions refer to economy, collective learning, cell motion, vehicular traffic, crowd dynamics, and social swarms. The key problem towards modeling consists in capturing the complexity features of living systems. All articles refer to large systems of interaction living entities and follow, towards modeling, a common rationale which consists firstly in representing the system by a probability distribution over the microscopic state of the said entities, secondly, in deriving a general mathematical structure deemed to provide the conceptual basis for the derivation of models and, finally, in implementing the said structure by models of interactions at the microscopic scale. Therefore, the modeling approach transfers the dynamics at the low scale to collective behaviors. Interactions are modeled by theoretical tools of stochastic game theory. Overall, the interested reader will find, in the contents, a forward look comprising various research perspectives and issues, followed by hints on to tackle these.

Unifying Themes in Complex Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540850813
Total Pages : 657 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Unifying Themes in Complex Systems by : Ali A. Minai

Download or read book Unifying Themes in Complex Systems written by Ali A. Minai and published by Springer Science & Business Media. This book was released on 2010-06-02 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, scientists have applied the principles of complex systems science to increasingly diverse fields. The results have been nothing short of remarkable: their novel approaches have provided answers to long-standing questions in biology, ecology, physics, engineering, computer science, economics, psychology and sociology. "Unifying Themes in Complex Systems" is a well established series of carefully edited conference proceedings that serve the purpose of documenting and archiving the progress of cross-fertilization in this field. About NECSI: For over 10 years, The New England Complex Systems Institute (NECSI) has been instrumental in the development of complex systems science and its applications. NECSI conducts research, education, knowledge dissemination, and community development around the world for the promotion of the study of complex systems and its application for the betterment of society. NECSI hosts the International Conference on Complex Systems and publishes the NECSI Book Series in conjunction with Springer Publishers.

Fully Chaotic Maps and Broken Time Symmetry

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Publisher : Springer Science & Business Media
ISBN 13 : 9401716285
Total Pages : 173 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Fully Chaotic Maps and Broken Time Symmetry by : Dean J. Driebe

Download or read book Fully Chaotic Maps and Broken Time Symmetry written by Dean J. Driebe and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: I am very pleased and privileged to write a short foreword for the monograph of Dean Driebe: Fully Chaotic Maps and Broken Time Symmetry. Despite the technical title this book deals with a problem of fundamental importance. To appreciate its meaning we have to go back to the tragic struggle that was initiated by the work of the great theoretical physicist Ludwig Boltzmann in the second half of the 19th century. Ludwig Boltzmann tried to emulate in physics what Charles Darwin had done in biology and to formulate an evolutionary approach in which past and future would play different roles. Boltzmann's work has lead to innumerable controversies as the laws of classical mechanics (as well as the laws of quan tum mechanics) as traditionally formulated imply symmetry between past and future. As is well known, Albert Einstein often stated that "Time is an illusion". Indeed, as long as dynamics is associated with trajectories satisfy ing the equations of classical mechanics, explaining irreversibility in terms of trajectories appears, as Henri Poincare concluded, as a logical error. After a long struggle, Boltzmann acknowledged his defeat and introduced a probabil ity description in which all microscopic states are supposed to have the same a priori probability. Irreversibility would then be due to the imperfection of our observations associated only with the "macroscopic" state described by temperature, pressure and other similar parameters. Irreversibility then appears devoid of any fundamental significance. However today this position has become untenable.

Philosophy of Complex Systems

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Author :
Publisher : Elsevier
ISBN 13 : 9780080931227
Total Pages : 952 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Philosophy of Complex Systems by :

Download or read book Philosophy of Complex Systems written by and published by Elsevier. This book was released on 2011-05-23 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt: The domain of nonlinear dynamical systems and its mathematical underpinnings has been developing exponentially for a century, the last 35 years seeing an outpouring of new ideas and applications and a concomitant confluence with ideas of complex systems and their applications from irreversible thermodynamics. A few examples are in meteorology, ecological dynamics, and social and economic dynamics. These new ideas have profound implications for our understanding and practice in domains involving complexity, predictability and determinism, equilibrium, control, planning, individuality, responsibility and so on. Our intention is to draw together in this volume, we believe for the first time, a comprehensive picture of the manifold philosophically interesting impacts of recent developments in understanding nonlinear systems and the unique aspects of their complexity. The book will focus specifically on the philosophical concepts, principles, judgments and problems distinctly raised by work in the domain of complex nonlinear dynamical systems, especially in recent years. -Comprehensive coverage of all main theories in the philosophy of Complex Systems -Clearly written expositions of fundamental ideas and concepts -Definitive discussions by leading researchers in the field -Summaries of leading-edge research in related fields are also included

Symmetry and Complexity

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Author :
Publisher : World Scientific
ISBN 13 : 9812561927
Total Pages : 448 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Symmetry and Complexity by : Klaus Mainzer

Download or read book Symmetry and Complexity written by Klaus Mainzer and published by World Scientific. This book was released on 2005 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cosmic evolution leads from symmetry to complexity by symmetry breaking and phase transitions. The emergence of new order and structure in nature and society is explained by physical, chemical, biological, social and economic self-organization, according to the laws of nonlinear dynamics. All these dynamical systems are considered computational systems processing information and entropy. Are symmetry and complexity only useful models of science or are they universals of reality? Symmetry and Complexity discusses the fascinating insights gained from natural, social and computer sciences, philosophy and the arts. With many diagrams and pictures, this book illustrates the spirit and beauty of nonlinear science. In the complex world of globalization, it strongly argues for unity in diversity.

Unifying Themes In Complex Systems, Volume 1

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Author :
Publisher : CRC Press
ISBN 13 : 0429971893
Total Pages : 696 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Unifying Themes In Complex Systems, Volume 1 by : Yaneer Bar-yam

Download or read book Unifying Themes In Complex Systems, Volume 1 written by Yaneer Bar-yam and published by CRC Press. This book was released on 2018-05-04 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of complex systems has attracted a broad range of researchers from many disciplines spanning both the hard and soft sciences. In the Autumn of 1997, 300 of these researchers came together for the First International Conference on Complex Systems. The proceedings of this conference is the first book in the New England Complex Systems Institute Series on Complexity and includes more than 100 presentations and papers on topics like evolution, emergence, complexity, self-organization, scaling, informatics, time series, emergence of mind, and engineering of complex systems.

Machine Learning in Natural Complex Systems

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Author :
Publisher : Frontiers Media SA
ISBN 13 : 2889763692
Total Pages : 171 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis Machine Learning in Natural Complex Systems by : Andre Gruning

Download or read book Machine Learning in Natural Complex Systems written by Andre Gruning and published by Frontiers Media SA. This book was released on 2023-04-11 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Symmetry Perspective

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Author :
Publisher : Birkhäuser
ISBN 13 : 3034881673
Total Pages : 325 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Symmetry Perspective by : Martin Golubitsky

Download or read book The Symmetry Perspective written by Martin Golubitsky and published by Birkhäuser. This book was released on 2012-12-06 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: The framework of ‘symmetry’ provides an important route between the abstract theory and experimental observations. The book applies symmetry methods to dynamical systems, focusing on bifurcation and chaos theory. Its exposition is organized around a wide variety of relevant applications. From the reviews: "[The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS

Unifying Themes in Complex Systems X

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Author :
Publisher : Springer Nature
ISBN 13 : 3030673189
Total Pages : 446 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Unifying Themes in Complex Systems X by : Dan Braha

Download or read book Unifying Themes in Complex Systems X written by Dan Braha and published by Springer Nature. This book was released on 2021-06-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Complex Systems (ICCS) offers a unique interdisciplinary venue for researchers from the physical and biological sciences, social sciences, psychology and cognitive science, engineering, medicine, human systems, and global systems. This proceedings volume gathers selected papers from the conference. The New England Complex Systems Institute (NECSI) has been instrumental in the development of complex systems science and its applications. NECSI pursues research, education, knowledge dissemination, and community development efforts around the world to promote the study of complex systems and its application for the benefit of society. NECSI hosts the International Conference on Complex Systems and publishes the NECSI Book.

Complex Symmetries

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Publisher : Springer Nature
ISBN 13 : 3030880591
Total Pages : 262 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Complex Symmetries by : György Darvas

Download or read book Complex Symmetries written by György Darvas and published by Springer Nature. This book was released on 2022-01-01 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of essays on complex symmetries. It is curated, emphasizing the analysis of the symmetries, not the various phenomena that display those symmetries themselves. With this, the volume provides insight to nonspecialist readers into how individual simple symmetries constitute complex symmetry. The authors and the topics cover many different disciplines in various sciences and arts. Simple symmetries, such as reflection, rotation, translation, similitude, and a few other simple manifestations of the phenomenon, are all around, and we are aware of them in our everyday lives. However, there are myriads of complex symmetries (composed of a bulk of simple symmetries) as well. For example, the well-known helix represents the combination of translational and rotational symmetry. Nature produces a great variety of such complex symmetries. So do the arts. The contributions in this volume analyse selected examples (not limited to geometric symmetries). These include physical symmetries, functional (meaning not morphological) symmetries, such as symmetries in the construction of the genetic code, symmetries in human perception (e.g., in geometry education as well as in constructing physical theories), symmetries in fractal structures and structural morphology, including quasicrystal and fullerene structures in stable bindings and their applications in crystallography and architectural design, as well as color symmetries in the arts. The volume is rounded of with beautiful illustrations and presents a fascinating panorama of this interdisciplinary topic.

An Introduction to Complex Systems

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Publisher : Springer
ISBN 13 : 3030025896
Total Pages : 405 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis An Introduction to Complex Systems by : Joe Tranquillo

Download or read book An Introduction to Complex Systems written by Joe Tranquillo and published by Springer. This book was released on 2019-02-13 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the interdisciplinary field of complex systems theory. By the end of the book, readers will be able to understand terminology that is used in complex systems and how they are related to one another; see the patterns of complex systems in practical examples; map current topics, in a variety of fields, to complexity theory; and be able to read more advanced literature in the field. The book begins with basic systems concepts and moves on to how these simple rules can lead to complex behavior. The author then introduces non-linear systems, followed by pattern formation, and networks and information flow in systems. Later chapters cover the thermodynamics of complex systems, dynamical patterns that arise in networks, and how game theory can serve as a framework for decision making. The text is interspersed with both philosophical and quantitative arguments, and each chapter ends with questions and prompts that help readers make more connections. “The text provides a useful overview of complex systems, with enough detail to allow a reader unfamiliar with the topic to understand the basics. The book stands out for its comprehensiveness and approachability. It will be particularly useful as a text for introductory physics courses. Tranquillo’s strength is in delivering a vast amount of information in a succinct manner.... A reader can find information quickly and efficiently—that is, in my opinion, the book’s greatest value.” (Stefani Crabtree, Physics Today)

Physics from Symmetry

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Author :
Publisher : Springer
ISBN 13 : 3319192019
Total Pages : 279 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Physics from Symmetry by : Jakob Schwichtenberg

Download or read book Physics from Symmetry written by Jakob Schwichtenberg and published by Springer. This book was released on 2015-06-04 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations.

Scientists Debate Gaia

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Author :
Publisher : MIT Press
ISBN 13 : 9780262194983
Total Pages : 412 pages
Book Rating : 4.1/5 (949 download)

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Book Synopsis Scientists Debate Gaia by : Stephen Henry Schneider

Download or read book Scientists Debate Gaia written by Stephen Henry Schneider and published by MIT Press. This book was released on 2004 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading scientists bring the controversy over Gaia up to date by exploring a broad range of recent thinking on Gaia theory.