Emergence Of Dynamical Order

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Emergence of Dynamical Order

Author : Susanna C. Manrubia
Publisher : World Scientific
ISBN 13 : 9812388036
Total Pages : 359 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Emergence of Dynamical Order by : Susanna C. Manrubia

Download or read book Emergence of Dynamical Order written by Susanna C. Manrubia and published by World Scientific. This book was released on 2004 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large populations of interacting active elements, periodic or chaotic, can undergo spontaneous transitions to dynamically ordered states. These collective states are characterized by self-organized coherence revealed by full mutual synchronization of individual dynamics or the formation of multiple synchronous clusters. Such self-organization phenomena are essential for the functioning of complex systems of various origins, both natural and artificial. This book provides a detailed introduction to the theory of collective synchronization phenomena in large complex systems. Transitions to dynamical clustering and synchronized states are systematically discussed. Such concepts as dynamical order parameters, glass like behavior and hierarchical organization are presented.

Emergence of Dynamical Order

Author : Susanna C. Manrubia
Publisher : World Scientific
ISBN 13 : 9789812562463
Total Pages : 362 pages
Book Rating : 4.5/5 (624 download)

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Book Synopsis Emergence of Dynamical Order by : Susanna C. Manrubia

Download or read book Emergence of Dynamical Order written by Susanna C. Manrubia and published by World Scientific. This book was released on 2004 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large populations of interacting active elements, periodic or chaotic, can undergo spontaneous transitions to dynamically ordered states. These collective states are characterized by self-organized coherence revealed by full mutual synchronization of individual dynamics or the formation of multiple synchronous clusters. Such self-organization phenomena are essential for the functioning of complex systems of various origins, both natural and artificial. This book provides a detailed introduction to the theory of collective synchronization phenomena in large complex systems. Transitions to dynamical clustering and synchronized states are systematically discussed. Such concepts as dynamical order parameters, glass like behavior and hierarchical organization are presented.

Order and Chaos in Dynamical Astronomy

Author : George Contopoulos
Publisher : Springer Science & Business Media
ISBN 13 : 9783540433606
Total Pages : 644 pages
Book Rating : 4.4/5 (336 download)

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Book Synopsis Order and Chaos in Dynamical Astronomy by : George Contopoulos

Download or read book Order and Chaos in Dynamical Astronomy written by George Contopoulos and published by Springer Science & Business Media. This book was released on 2004-06-16 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is one of the first to provide a general overview of order and chaos in dynamical astronomy. The progress of the theory of chaos has a profound impact on galactic dynamics. It has even invaded celestial mechanics, since chaos was found in the solar system which in the past was considered as a prototype of order. The book provides a unifying approach to these topics from an author who has spent more than 50 years of research in the field. The first part treats order and chaos in general. The other two parts deal with order and chaos in galaxies and with other applications in dynamical astronomy, ranging from celestial mechanics to general relativity and cosmology.

Self-Organizing Systems

Author : F.Eugene Yates
Publisher : Springer Science & Business Media
ISBN 13 : 1461308836
Total Pages : 658 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Self-Organizing Systems by : F.Eugene Yates

Download or read book Self-Organizing Systems written by F.Eugene Yates and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technological systems become organized by commands from outside, as when human intentions lead to the building of structures or machines. But many nat ural systems become structured by their own internal processes: these are the self organizing systems, and the emergence of order within them is a complex phe nomenon that intrigues scientists from all disciplines. Unfortunately, complexity is ill-defined. Global explanatory constructs, such as cybernetics or general sys tems theory, which were intended to cope with complexity, produced instead a grandiosity that has now, mercifully, run its course and died. Most of us have become wary of proposals for an "integrated, systems approach" to complex matters; yet we must come to grips with complexity some how. Now is a good time to reexamine complex systems to determine whether or not various scientific specialties can discover common principles or properties in them. If they do, then a fresh, multidisciplinary attack on the difficulties would be a valid scientific task. Believing that complexity is a proper scientific issue, and that self-organizing systems are the foremost example, R. Tomovic, Z. Damjanovic, and I arranged a conference (August 26-September 1, 1979) in Dubrovnik, Yugoslavia, to address self-organizing systems. We invited 30 participants from seven countries. Included were biologists, geologists, physicists, chemists, mathematicians, bio physicists, and control engineers. Participants were asked not to bring manu scripts, but, rather, to present positions on an assigned topic. Any writing would be done after the conference, when the writers could benefit from their experi ences there.

Between Chaos and Synchronization

Author : Santiago Gil
Publisher : Sudwestdeutscher Verlag Fur Hochschulschriften AG
ISBN 13 : 9783838121161
Total Pages : 136 pages
Book Rating : 4.1/5 (211 download)

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Book Synopsis Between Chaos and Synchronization by : Santiago Gil

Download or read book Between Chaos and Synchronization written by Santiago Gil and published by Sudwestdeutscher Verlag Fur Hochschulschriften AG. This book was released on 2011-03 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Models of phase oscillators have proven to be a very convenient tool to investigate the emergence of dynamical order in complex systems, and their use has been spreading across disciplines ranging from chemistry to biology, neurology and economics, to name a few. In particular, they have been used as a probing model to study the interplay between network structure and dynamics on networks for systems of broadly different nature. This work concerns itself with the emergence and destruction of dynamical order in networks of phase oscillators. Particular attention is payed to the implementation of methods to control the formation and behavior of self-organized dynamical patterns in the transition landscape between synchronization and chaos. This book consists of a revised version of the author's doctoral thesis, presented at the Technische Universitat Berlin in January 2010, and defended with a magna cum laude distinction."

Permutation Complexity in Dynamical Systems

Author : José Amigó
Publisher : Springer Science & Business Media
ISBN 13 : 3642040845
Total Pages : 260 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Permutation Complexity in Dynamical Systems by : José Amigó

Download or read book Permutation Complexity in Dynamical Systems written by José Amigó and published by Springer Science & Business Media. This book was released on 2010-03-20 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of permutation complexity can be envisioned as a new kind of symbolic dynamics whose basic blocks are ordinal patterns, that is, permutations defined by the order relations among points in the orbits of dynamical systems. Since its inception in 2002 the concept of permutation entropy has sparked a new branch of research in particular regarding the time series analysis of dynamical systems that capitalizes on the order structure of the state space. Indeed, on one hand ordinal patterns and periodic points are closely related, yet ordinal patterns are amenable to numerical methods, while periodicity is not. Another interesting feature is that since it can be shown that random (unconstrained) dynamics has no forbidden patterns with probability one, their existence can be used as a fingerprint to identify any deterministic origin of orbit generation. This book is primarily addressed to researchers working in the field of nonlinear dynamics and complex systems, yet will also be suitable for graduate students interested in these subjects. The presentation is a compromise between mathematical rigor and pedagogical approach. Accordingly, some of the more mathematical background needed for more in depth understanding has been shifted into the appendices.

Emergence

Author : John Henry Holland
Publisher :
ISBN 13 : 0198504098
Total Pages : 274 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Emergence by : John Henry Holland

Download or read book Emergence written by John Henry Holland and published by . This book was released on 1998 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: We are everywhere confronted with emergent systems - the Internet, the immune system, the global economy, to name a few - where the behaviour of the whole is much more complex than the behaviour of the parts. Holland shows us how a theory of emergence can predict many complex behaviours, and has much to teach us about life, the mind, and organizations. Throughout, Holland compares the different systems and models that exhibit emergence in the quest for common rules or laws.

Quasi-Periodic Motions in Families of Dynamical Systems

Author : Hendrik W. Broer
Publisher : Springer Science & Business Media
ISBN 13 : 3540620257
Total Pages : 203 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Quasi-Periodic Motions in Families of Dynamical Systems by : Hendrik W. Broer

Download or read book Quasi-Periodic Motions in Families of Dynamical Systems written by Hendrik W. Broer and published by Springer Science & Business Media. This book was released on 1996 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is on Kolmogorov-Arnol'd-Moser theory for quasi-periodic tori in dynamical systems. It gives an up-to-date report on the role parameters play for persis- tence of such tori, typically occuring on Cantor sets of positive Hausdorff measure inside phase and parameter space. The cases with preservation of symplectic or volume forms or time-reversal symmetries are included. The concepts of Whitney-smoothness and Diophantine approximation of Cantor sets on submanifolds of Euclidean space are treated, as well as Bruno's theory on analytic continuation of tori. Partly this material is new to Western mathematicians. The reader should be familiar with dynamical systems theory, differen- tial equations and some analysis. The book is directed to researchers, but its entrance level is introductory.

In the Wake of Chaos

Author : Stephen H. Kellert
Publisher : University of Chicago Press
ISBN 13 : 0226429768
Total Pages : 190 pages
Book Rating : 4.2/5 (264 download)

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Book Synopsis In the Wake of Chaos by : Stephen H. Kellert

Download or read book In the Wake of Chaos written by Stephen H. Kellert and published by University of Chicago Press. This book was released on 1994-12-15 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos theory has captured scientific and popular attention. What began as the discovery of randomness in simple physical systems has become a widespread fascination with "chaotic" models of everything from business cycles to brainwaves to heart attacks. But what exactly does this explosion of new research into chaotic phenomena mean for our understanding of the world? In this timely book, Stephen Kellert takes the first sustained look at the broad intellectual and philosophical questions raised by recent advances in chaos theory—its implications for science as a source of knowledge and for the very meaning of that knowledge itself.

Dynamical Hierarchies - A Summary

Author :
Publisher :
ISBN 13 :
Total Pages : 5 pages
Book Rating : 4.:/5 (683 download)

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Book Synopsis Dynamical Hierarchies - A Summary by :

Download or read book Dynamical Hierarchies - A Summary written by and published by . This book was released on 1996 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper summarizes some of the problems associated with the generation of higher order emergent structures in formal dynamical systems. In biological systems, higher order hyperstructures occur both in an intuitive and a formal sense: monomers, polymers, membranes, organelles, cells, tissues, organs, etc. constitute an observable hierarchy, apparently generated by the underlying biomolecular process. However, in models and simulations of these systems, it has turned out to be quite difficult to produce higher order emergent structures from first principles. The first problem is to agree on what a higher order structure is. An emergent structure can be defined through an introduction of an observational function. If a property can be observed in the dynamics, but not at the level of the fundamental first order interacting structures, we define it to be emergent. It is well known that second order structures occur relatively easy in simulation, so the problem is how to proceed to third and higher order without external interference. A third order structure is defined through the interaction of second order structures forming a new observable not found at the lower levels.

Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems

Author : B.A. Steves
Publisher : Springer Science & Business Media
ISBN 13 : 1402047061
Total Pages : 342 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems by : B.A. Steves

Download or read book Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems written by B.A. Steves and published by Springer Science & Business Media. This book was released on 2006-09-22 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the recent NATO Advanced Study Institute "Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems", this state of the art textbook, written by internationally renowned experts, provides an invaluable reference volume for all students and researchers in gravitational n-body systems. The contributions are especially designed to give a systematic development from the fundamental mathematics which underpin modern studies of ordered and chaotic behaviour in n-body dynamics to their application to real motion in planetary systems. This volume presents an up-to-date synoptic view of the subject.

Identification and Order Reduction of Dynamical Systems

Author : Abdulaziz Seddick Sherif
Publisher :
ISBN 13 :
Total Pages : 298 pages
Book Rating : 4.:/5 (22 download)

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Book Synopsis Identification and Order Reduction of Dynamical Systems by : Abdulaziz Seddick Sherif

Download or read book Identification and Order Reduction of Dynamical Systems written by Abdulaziz Seddick Sherif and published by . This book was released on 1978 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Regularity and Complexity in Dynamical Systems

Author : Albert C. J. Luo
Publisher : Springer Science & Business Media
ISBN 13 : 1461415233
Total Pages : 500 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Regularity and Complexity in Dynamical Systems by : Albert C. J. Luo

Download or read book Regularity and Complexity in Dynamical Systems written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2013-07-12 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical systems, including continuous, discrete, impulsive, discontinuous, and switching systems. In traditional analysis, the periodic and chaotic behaviors in continuous, nonlinear dynamical systems were extensively discussed even if unsolved. In recent years, there has been an increasing amount of interest in periodic and chaotic behaviors in discontinuous dynamical systems because such dynamical systems are prevalent in engineering. Usually, the smoothening of discontinuous dynamical system is adopted in order to use the theory of continuous dynamical systems. However, such technique cannot provide suitable results in such discontinuous systems. In this book, an alternative way is presented to discuss the periodic and chaotic behaviors in discontinuous dynamical systems.

Complex and Adaptive Dynamical Systems

Author : Claudius Gros
Publisher : Springer Science & Business Media
ISBN 13 : 3642365868
Total Pages : 356 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Complex and Adaptive Dynamical Systems by : Claudius Gros

Download or read book Complex and Adaptive Dynamical Systems written by Claudius Gros and published by Springer Science & Business Media. This book was released on 2013-04-23 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex system theory is rapidly developing and gaining importance, providing tools and concepts central to our modern understanding of emergent phenomena. This primer offers an introduction to this area together with detailed coverage of the mathematics involved. All calculations are presented step by step and are straightforward to follow. This new third edition comes with new material, figures and exercises. Network theory, dynamical systems and information theory, the core of modern complex system sciences, are developed in the first three chapters, covering basic concepts and phenomena like small-world networks, bifurcation theory and information entropy. Further chapters use a modular approach to address the most important concepts in complex system sciences, with the emergence and self-organization playing a central role. Prominent examples are self-organized criticality in adaptive systems, life at the edge of chaos, hypercycles and coevolutionary avalanches, synchronization phenomena, absorbing phase transitions and the cognitive system approach to the brain. Technical course prerequisites are the standard mathematical tools for an advanced undergraduate course in the natural sciences or engineering. Each chapter comes with exercises and suggestions for further reading - solutions to the exercises are provided in the last chapter. From the reviews of previous editions: This is a very interesting introductory book written for a broad audience of graduate students in natural sciences and engineering. It can be equally well used both for teaching and self-education. Very well structured and every topic is illustrated by simple and motivating examples. This is a true guidebook to the world of complex nonlinear phenomena. (Ilya Pavlyukevich, Zentralblatt MATH, Vol. 1146, 2008) "Claudius Gros's Complex and Adaptive Dynamical Systems: A Primer is a welcome addition to the literature. . A particular strength of the book is its emphasis on analytical techniques for studying complex systems. (David P. Feldman, Physics Today, July, 2009)

Discrete Dynamical Systems

Author : Oded Galor
Publisher : Springer Science & Business Media
ISBN 13 : 3540367764
Total Pages : 159 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Discrete Dynamical Systems by : Oded Galor

Download or read book Discrete Dynamical Systems written by Oded Galor and published by Springer Science & Business Media. This book was released on 2007-05-17 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to discrete dynamical systems – a framework of analysis that is commonly used in the ?elds of biology, demography, ecology, economics, engineering, ?nance, and physics. The book characterizes the fundamental factors that govern the quantitative and qualitative trajectories of a variety of deterministic, discrete dynamical systems, providing solution methods for systems that can be solved analytically and methods of qualitative analysis for those systems that do not permit or necessitate an explicit solution. The analysis focuses initially on the characterization of the factors that govern the evolution of state variables in the elementary context of one-dimensional, ?rst-order, linear, autonomous systems. The f- damental insights about the forces that a?ect the evolution of these - ementary systems are subsequently generalized, and the determinants of the trajectories of multi-dimensional, nonlinear, higher-order, non- 1 autonomous dynamical systems are established. Chapter 1 focuses on the analysis of the evolution of state variables in one-dimensional, ?rst-order, autonomous systems. It introduces a method of solution for these systems, and it characterizes the traj- tory of a state variable, in relation to a steady-state equilibrium of the system, examining the local and global (asymptotic) stability of this steady-state equilibrium. The ?rst part of the chapter characterizes the factors that determine the existence, uniqueness and stability of a steady-state equilibrium in the elementary context of one-dimensional, ?rst-order, linear autonomous systems.

Order Within Chaos

Author : Pierre Berge
Publisher : Wiley-VCH
ISBN 13 :
Total Pages : 358 pages
Book Rating : 4.X/5 (1 download)

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Book Synopsis Order Within Chaos by : Pierre Berge

Download or read book Order Within Chaos written by Pierre Berge and published by Wiley-VCH. This book was released on 1986 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presented at a relatively elementary level, this introduction to the study of dissipative dynamical systems is addressed to an audience which is scientifically cultivated but not specialized in this discipline. Encompasses the analysis of all time-dependent phenomena, treating the major types of behavior or of evolution without direct reference to the material aspects. Focuses on physics and chemistry and avoids mathematical treatment. In a panorama which is coherent and accessible, it describes concretely the important dynamical phenomena and the way in which they appear in experimental reality. Covers basic vocabulary and regular periodic behavior, and goes on to apply them in analytical methods.

Managing Emergent Phenomena

Author : Stephen J. Guastello
Publisher : Psychology Press
ISBN 13 : 1135671958
Total Pages : 406 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Managing Emergent Phenomena by : Stephen J. Guastello

Download or read book Managing Emergent Phenomena written by Stephen J. Guastello and published by Psychology Press. This book was released on 2001-12 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos, catastrophe, self-organization, and complexity theories (nonlinear dynamics) now have practical and measurable roles in the functioning of work organizations. Managing Emergent Phenomena begins by describing how the concept of an organization has changed from a bureaucracy, to a humanistic and organic system, to a complex adaptive system. The dynamics concepts are then explained along with the most recent research methods for analyzing real data. Applications include: work motivation, personnel selection and turnover, creative thinking by individuals and groups, the development of social networks, coordination in work groups, the emergence of leaders, work performance in organizational hierarchies, economic problems that are relevant to organizations, techniques for predicting the future, and emergency management. Each application begins with a tight summary of standard thinking on a subject, followed by the new insights that are afforded by nonlinear dynamics and the empirical data supporting those ideas. Unusual concepts are also encountered, such as the organizational unconscious, collective intelligence, and the revolt of the slaved variables. The net results are a new perspective on what is really important in organizational life, original insights on familiar experiences, and some clear signposts for the next generation of nonlinear social scientists.