Emergence Of Dynamical Order Synchronization Phenomena In Complex Systems
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Emergence Of Dynamical Order Synchronization Phenomena In Complex Systems
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Author : Susanna C Manrubia
language : en
Publisher: World Scientific
Release Date : 2004-04-14
Emergence Of Dynamical Order Synchronization Phenomena In Complex Systems written by Susanna C Manrubia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-14 with Science categories.
Synchronization processes bring about dynamical order and lead to spontaneous development of structural organization in complex systems of various origins, from chemical oscillators and biological cells to human societies and the brain. This book provides a review and a detailed theoretical analysis of synchronization phenomena in complex systems with different architectures, composed of elements with periodic or chaotic individual dynamics. Special attention is paid to statistical concepts, such as nonequilibrium phase transitions, order parameters and dynamical glasses.
Bifurcation Without Parameters
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Author : Stefan Liebscher
language : en
Publisher: Springer
Release Date : 2014-11-08
Bifurcation Without Parameters written by Stefan Liebscher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-08 with Mathematics categories.
Targeted at mathematicians having at least a basic familiarity with classical bifurcation theory, this monograph provides a systematic classification and analysis of bifurcations without parameters in dynamical systems. Although the methods and concepts are briefly introduced, a prior knowledge of center-manifold reductions and normal-form calculations will help the reader to appreciate the presentation. Bifurcations without parameters occur along manifolds of equilibria, at points where normal hyperbolicity of the manifold is violated. The general theory, illustrated by many applications, aims at a geometric understanding of the local dynamics near the bifurcation points.
R Umliche Aspekte Intrazellul Rer Signal Bertragung Und Musterbildung In Der Glykolyse
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Author : Ronny Straube
language : en
Publisher: Logos Verlag Berlin GmbH
Release Date : 2011
R Umliche Aspekte Intrazellul Rer Signal Bertragung Und Musterbildung In Der Glykolyse written by Ronny Straube and has been published by Logos Verlag Berlin GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
Die vorliegende Arbeit behandelt verschiedene Aspekte der raum-zeitlichen Musterbildung in biologischen oder biologisch motivierten Reaktions-Diffusions-Systemen. Die hierbei auftretenden Muster werden entweder durch die, dem System auferlegten, Randbedingungen oder durch diffusive Kopplung nichtlinearer biochemischer Reaktionen hervorgerufen. Im ersten Teil der Arbeit werden Systeme in singular gestorten zwei- oder drei-dimensionalen Gebieten untersucht. Das sind Gebiete mit kleinen Lochern im Innern oder auf dem Rand des Definitionsgebietes. Mit Hilfe asymptotischer Methoden wird gezeigt, dass sich die Locher wie Punktsingularitaten verhalten, die durch entsprechende Greensche oder Neumann Funktionen beschrieben werden konnen. Es werden asymptotische Losungen fur durch Signalmolekule hervorgerufene intrazellulare Konzentrationsgradienten sowie fur die mittlere Verweilzeit diffundierender Molekule in der Gegenwart mehrerer, kleiner absorbierender Kompartimente (Locher) fur verschiedene Gebiete konstruiert. Im zweiten Teil der Arbeit wird am Beispiel der Entstehung einwarts rotierender Spiralwellen (Antispiralen) in der Glykolyse untersucht, wie sich bestimmte molekulare Reaktionsmechanismen auf die im System entstehenden raum-zeitlichen Muster auswirken. Zu diesem Zweck werden die Parameter einer zugeordneten komplexen Ginzburg-Landau Gleichung fur verschiedene Mechanismen der Produktaktivierung der Phosphofruktokinase (PFK) explizit berechnet und die entsprechenden Phasendiagramme miteinander verglichen. Die Analyse zeigt, dass das Auftreten von Antispiralen sowohl vom PFK-Aktivierungsmechanismus als auch von der Anzahl der PFK-Untereinheiten abhangt.
Automation In Proteomics And Genomics
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Author : Gil Alterovitz
language : en
Publisher: John Wiley & Sons
Release Date : 2009-03-16
Automation In Proteomics And Genomics written by Gil Alterovitz and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-16 with Science categories.
In the last decade DNA sequencing costs have decreased over a magnitude, largely because of increasing throughput by incremental advances in tools, technologies and process improvements. Further cost reductions in this and in related proteomics technologies are expected as a result of the development of new high-throughput techniques and the computational machinery needed to analyze data generated. Automation in Proteomics & Genomics: An Engineering Case-Based Approach describes the automation technology currently in the areas of analysis, design, and integration, as well as providing basic biology concepts behind proteomics and genomics. The book also discusses the current technological limitations that can be viewed as an emerging market rather than a research bottleneck. Topics covered include: molecular biology fundamentals: from ‘blueprint’ (DNA) to ‘task list’ (RNA) to ‘molecular machine’ (protein); proteomics methods and technologies; modelling protein networks and interactions analysis via automation: DNA sequencing; microarrays and other parallelization technologies; protein characterization and identification; protein interaction and gene regulatory networks design via automation: DNA synthesis; RNA by design; building protein libraries; synthetic networks integration: multiple modalities; computational and experimental methods; trends in automation for genomics and proteomics new enabling technologies and future applications Automation in Proteomics & Genomics: An Engineering Case-Based Approach is an essential guide to the current capabilities and challenges of high-throughput analysis of genes and proteins for bioinformaticians, engineers, chemists, and biologists interested in developing a cross-discipline problem-solving based approach to systems biology.
Advances In Dynamics Patterns Cognition
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Author : Igor S. Aranson
language : en
Publisher: Springer
Release Date : 2017-05-02
Advances In Dynamics Patterns Cognition written by Igor S. Aranson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-02 with Technology & Engineering categories.
This book focuses on recent progress in complexity research based on the fundamental nonlinear dynamical and statistical theory of oscillations, waves, chaos, and structures far from equilibrium. Celebrating seminal contributions to the field by Prof. M. I. Rabinovich of the University of California at San Diego, this volume brings together perspectives on both the fundamental aspects of complexity studies, as well as in applications in different fields ranging from granular patterns to understanding of the cognitive brain and mind dynamics. The slate of world-class authors review recent achievements that together present a broad and coherent coverage of modern research in complexity greater than the sum of its parts.
Self Organization In The Nervous System
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Author : Yan M. Yufik
language : en
Publisher: Frontiers Media SA
Release Date : 2017-11-30
Self Organization In The Nervous System written by Yan M. Yufik and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-30 with categories.
This special issue reviews state-of-the-art approaches to the biophysical roots of cognition. These approaches appeal to the notion that cognitive capacities serve to optimize responses to changing external conditions. Crucially, this optimisation rests on the ability to predict changes in the environment, thus allowing organisms to respond pre-emptively to changes before their onset. The biophysical mechanisms that underwrite these cognitive capacities remain largely unknown; although a number of hypotheses has been advanced in systems neuroscience, biophysics and other disciplines. These hypotheses converge on the intersection of thermodynamic and information-theoretic formulations of self-organization in the brain. The latter perspective emerged when Shannon’s theory of message transmission in communication systems was used to characterise message passing between neurons. In its subsequent incarnations, the information theory approach has been integrated into computational neuroscience and the Bayesian brain framework. The thermodynamic formulation rests on a view of the brain as an aggregation of stochastic microprocessors (neurons), with subsequent appeal to the constructs of statistical mechanics and thermodynamics. In particular, the use of ensemble dynamics to elucidate the relationship between micro-scale parameters and those of the macro-scale aggregation (the brain). In general, the thermodynamic approach treats the brain as a dissipative system and seeks to represent the development and functioning of cognitive mechanisms as collective capacities that emerge in the course of self-organization. Its explicanda include energy efficiency; enabling progressively more complex cognitive operations such as long-term prediction and anticipatory planning. A cardinal example of the Bayesian brain approach is the free energy principle that explains self-organizing dynamics in the brain in terms of its predictive capabilities – and selective sampling of sensory inputs that optimise variational free energy as a proxy for Bayesian model evidence. An example of thermodynamically grounded proposals, in this issue, associates self-organization with phase transitions in neuronal state-spaces; resulting in the formation of bounded neuronal assemblies (neuronal packets). This special issue seeks a discourse between thermodynamic and informational formulations of the self-organising and self-evidencing brain. For example, could minimization of thermodynamic free energy during the formation of neuronal packets underlie minimization of variational free energy?
Complex Systems And Their Applications
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Author : Guillermo Huerta Cuéllar
language : en
Publisher: Springer Nature
Release Date : 2022-06-10
Complex Systems And Their Applications written by Guillermo Huerta Cuéllar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-10 with Science categories.
This book is a compilation of scientific articles written by recognized researchers, and select students, participating in the Second Conference on the Study of Complex Systems and their Applications (EDIESCA 2021). EDIESCA 2021 arose from the need for academic and research groups that carry out this scientific research to disseminate their results internationally. The study and characterization of systems with non-linear and/or chaotic behavior has been of great interest to researchers around the world, for which many important results have been obtained with various applications. The dynamic study of chaotic oscillators of different models, such as Rössler, Lorenz, and Chua, has generated important advances in understanding of chemical reactions, meteorological behavior, design of electronic devices, and other applications. Topics at the event included applications for communications systems by masking techniques, financial behavior, networks analysis, nonlinear lasers, numerical modeling, electronic design, and other interesting topics in the area of complex systems. Additionally, there are results on numerical simulation and electronic designs to generate complex dynamic behaviors.
The Synchronized Dynamics Of Complex Systems
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Author : Stefano Boccaletti
language : en
Publisher: Elsevier
Release Date : 2008-02-05
The Synchronized Dynamics Of Complex Systems written by Stefano Boccaletti and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-05 with Science categories.
The origin of the word synchronization is a greek root, meaning "to share the common time". The original meaning of synchronization has been maintained up to now in the colloquial use of this word, as agreement or correlation in time of different processes. Historically, the analysis of synchronization phenomena in the evolution of dynamical systems has been a subject of active investigation since the earlier days of physics. Recently, the search for synchronization has moved to chaotic systems. In this latter framework, the appearance of collective (synchronized) dynamics is, in general, not trivial. Indeed, a dynamical system is called chaotic whenever its evolution sensitively depends on the initial conditions. The above said implies that two trajectories emerging from two different closeby initial conditions separate exponentially in the course of the time. As a result, chaotic systems intrinsically defy synchronization, because even two identical systems starting from slightly different initial conditions would evolve in time in a unsynchronized manner (the differences in the systems' states would grow exponentially). This is a relevant practical problem, insofar as experimental initial conditions are never known perfectly. The setting of some collective (synchronized) behavior in coupled chaotic systems has therefore a great importance and interest.The subject of the present book is to summarize the recent discoveries involving the study of synchronization in coupled chaotic systems.Not always the word synchronization is taken as having the same colloquial meaning, and one needs to specify what synchrony means in all particular contexts in which we will describe its emergence.The book describes the complete synchronization phenomenon, both for low and for high dimensional situations, and illustrates possible applications in the field of communicating with chaos.Furthermore, the book summarizes the concepts of phase synchronization, lag synchronization, imperfect phase synchronization, and generalized synchronization, describing a general transition scenario between a hierarchy of different types of synchronization for chaotic oscillators.These concepts are extended to the case of structurally different systems, of uncoupled systems subjected to a common external source, of space extended nonlinearly evolving fields, and of dynamical units networking via a complex wiring of connections, giving thus a summary of all possible situations that are encountered in real life and in technology. - Technical, but not specialistic language - About 100 illustrative Figures - Full overview on synchronization phenomena - Review of the main tools and techniques used in the field - Paradigmatic examples and experiments illustrating the basic concepts - Full Reference to the main publications existing in the literature on the subject
Complex Population Dynamics
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Author : Bernd Blasius
language : en
Publisher: World Scientific
Release Date : 2007
Complex Population Dynamics written by Bernd Blasius and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This collection of review articles is devoted to the modeling of ecological, epidemiological and evolutionary systems. Theoretical mathematical models are perhaps one of the most powerful approaches available for increasing our understanding of the complex population dynamics in these natural systems. Exciting new techniques are currently being developed to meet this challenge, such as generalized or structural modeling, adaptive dynamics or multiplicative processes. Many of these new techniques stem from the field of nonlinear dynamics and chaos theory, where even the simplest mathematical rule can generate a rich variety of dynamical behaviors that bear a strong analogy to biological populations.
Energy Transmission And Synchronization In Complex Networks
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Author : Nicolás Rubido
language : en
Publisher: Springer
Release Date : 2015-08-20
Energy Transmission And Synchronization In Complex Networks written by Nicolás Rubido and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-20 with Science categories.
This work tackles the problems of understanding how energy is transmitted and distributed in power-grids as well as in determining how robust this transmission and distribution is when modifications to the grid or power occur. The most important outcome is the derivation of explicit relationships between the structure of the grid, the optimal transmission and distribution of energy, and the grid’s collective behavior (namely, the synchronous generation of power). These relationships are extremely relevant for the design of resilient power-grid models. To allow the reader to apply these results to other complex systems, the thesis includes a review of relevant aspects of network theory, spectral theory, and novel analytical calculations to predict the existence and stability of periodic collective behavior in complex networks of phase oscillators, which constitute a paradigmatic model for many complex systems.