Chimera Patterns in Networks

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Publisher : Springer Nature
ISBN 13 : 3030217140
Total Pages : 243 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Chimera Patterns in Networks by : Anna Zakharova

Download or read book Chimera Patterns in Networks written by Anna Zakharova and published by Springer Nature. This book was released on 2020-03-09 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book devoted to chimera states - peculiar partial synchronization patterns in networks. Providing an overview of the state of the art in research on this topic, it explores how these hybrid states, which are composed of spatially separated domains of synchronized and desynchronized behavior, arise surprisingly in networks of identical units and symmetric coupling topologies. The book not only describes various types of chimeras, but also discusses the role of time delay, stochasticity, and network topology for these synchronization-desynchronization patterns. Moreover, it addresses the question of robustness and control of chimera states, which have various applications in physics, biology, chemistry, and engineering. This book is intended for researchers with a background in physics, applied mathematics, or engineering. Of great interest to specialists working on related problems, it is also a valuable resource for newcomers to the field and other scientists working on the control of spatio-temporal patterns.

Chimera Patterns in Networks: Interplay of Dynamics, Structure, Noise, and Delay

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Chimera Patterns in Networks: Interplay of Dynamics, Structure, Noise, and Delay by : Anna Zakharova

Download or read book Chimera Patterns in Networks: Interplay of Dynamics, Structure, Noise, and Delay written by Anna Zakharova and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiplex Networks

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Publisher : Springer
ISBN 13 : 3319922556
Total Pages : 121 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Multiplex Networks by : Emanuele Cozzo

Download or read book Multiplex Networks written by Emanuele Cozzo and published by Springer. This book was released on 2018-06-27 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the basis of a formal language and explores its possibilities in the characterization of multiplex networks. Armed with the formalism developed, the authors define structural metrics for multiplex networks. A methodology to generalize monoplex structural metrics to multiplex networks is also presented so that the reader will be able to generalize other metrics of interest in a systematic way. Therefore, this book will serve as a guide for the theoretical development of new multiplex metrics. Furthermore, this Brief describes the spectral properties of these networks in relation to concepts from algebraic graph theory and the theory of matrix polynomials. The text is rounded off by analyzing the different structural transitions present in multiplex systems as well as by a brief overview of some representative dynamical processes. Multiplex Networks will appeal to students, researchers, and professionals within the fields of network science, graph theory, and data science.

Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators

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Publisher : Springer Nature
ISBN 13 : 303074938X
Total Pages : 210 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators by : Rico Berner

Download or read book Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators written by Rico Berner and published by Springer Nature. This book was released on 2021-05-31 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this thesis is the interplay of synchrony and adaptivity in complex networks. Synchronization is a ubiquitous phenomenon observed in different contexts in physics, chemistry, biology, neuroscience, medicine, socioeconomic systems, and engineering. Most prominently, synchronization takes place in the brain, where it is associated with cognitive capacities like learning and memory, but is also a characteristic of neurological diseases like Parkinson and epilepsy. Adaptivity is common in many networks in nature and technology, where the connectivity changes in time, i.e., the strength of the coupling is continuously adjusted depending upon the dynamic state of the system, for instance synaptic neuronal plasticity in the brain. This research contributes to a fundamental understanding of various synchronization patterns, including hierarchical multifrequency clusters, chimeras and other partial synchronization states. After a concise survey of the fundamentals of adaptive and complex dynamical networks and synaptic plasticity, in the first part of the thesis the existence and stability of cluster synchronization in globally coupled adaptive networks is discussed for simple paradigmatic phase oscillators as well as for a more realistic neuronal oscillator model with spike-timing dependent plasticity. In the second part of the thesis the interplay of adaptivity and connectivity is investigated for more complex network structures like nonlocally coupled rings, random networks, and multilayer systems. Besides presenting a plethora of novel, sometimes intriguing patterns of synchrony, the thesis makes a number of pioneering methodological advances, where rigorous mathematical proofs are given in the Appendices. These results are of interest not only from a fundamental point of view, but also with respect to challenging applications in neuroscience and technological systems.

Chimera States in Complex Networks

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Publisher : Frontiers Media SA
ISBN 13 : 288963311X
Total Pages : 148 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Chimera States in Complex Networks by : Eckehard Schöll

Download or read book Chimera States in Complex Networks written by Eckehard Schöll and published by Frontiers Media SA. This book was released on 2020-01-03 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Control of Self-Organizing Nonlinear Systems

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Publisher : Springer
ISBN 13 : 3319280287
Total Pages : 475 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Control of Self-Organizing Nonlinear Systems by : Eckehard Schöll

Download or read book Control of Self-Organizing Nonlinear Systems written by Eckehard Schöll and published by Springer. This book was released on 2016-01-22 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book summarizes the state-of-the-art of research on control of self-organizing nonlinear systems with contributions from leading international experts in the field. The first focus concerns recent methodological developments including control of networks and of noisy and time-delayed systems. As a second focus, the book features emerging concepts of application including control of quantum systems, soft condensed matter, and biological systems. Special topics reflecting the active research in the field are the analysis and control of chimera states in classical networks and in quantum systems, the mathematical treatment of multiscale systems, the control of colloidal and quantum transport, the control of epidemics and of neural network dynamics.

On Coexistence Patterns

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Publisher : Springer Nature
ISBN 13 : 3031214986
Total Pages : 340 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis On Coexistence Patterns by : Sindre W. Haugland

Download or read book On Coexistence Patterns written by Sindre W. Haugland and published by Springer Nature. This book was released on 2023-02-20 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about coexistence patterns in ensembles of globally coupled nonlinear oscillators. Coexistence patterns in this respect are states of a dynamical system in which the dynamics in some parts of the system differ significantly from those in other parts, even though there is no underlying structural difference between the different parts. In other words, these asymmetric patterns emerge in a self-organized manner. As our main model, we use ensembles of various numbers of Stuart-Landau oscillators, all with the same natural frequency and all coupled equally strongly to each other. Employing computer simulations, bifurcation analysis and symmetry considerations, we uncover the mechanism behind a wide range of complex patterns found in these ensembles. Our starting point is the creation of so-called chimeras, which are subsequently treated within a new and broader context of related states.

Delay Controlled Partial Synchronization in Complex Networks

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Publisher : Springer Nature
ISBN 13 : 3030340767
Total Pages : 166 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Delay Controlled Partial Synchronization in Complex Networks by : Jakub Sawicki

Download or read book Delay Controlled Partial Synchronization in Complex Networks written by Jakub Sawicki and published by Springer Nature. This book was released on 2019-11-30 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this thesis are synchronization phenomena in networks and their intrinsic control through time delay, which is ubiquitous in real-world systems ranging from physics and acoustics to neuroscience and engineering. We encounter synchronization everywhere and it can be either a helpful or a detrimental mechanism. In the first part, after a survey of complex nonlinear systems and networks, we show that a seemingly simple system of two organ pipes gives birth to complex bifurcation and synchronization scenarios. Going from a 2-oscillator system to a ring of oscillators, we encounter the intriguing phenomenon of chimera states which are partial synchrony patterns with coexisting domains of synchronized and desynchronized dynamics. For more than a decade scientist have tried to solve the puzzle of this spontaneous symmetry-breaking emerging in networks of identical elements. We provide an analysis of initial conditions and extend our model by the addition of time delay and fractal connectivities. In the second part, we investigate partial synchronization patterns in a neuronal network and explain dynamical asymmetry arising from the hemispheric structure of the human brain. A particular focus is on the novel scenario of partial relay synchronization in multiplex networks. Such networks allow for synchronization of the coherent domains of chimera states via a remote layer, whereas the incoherent domains remain desynchronized. The theoretical framework is demonstrated with different generic models.

Patterns of Dynamics

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Publisher : Springer
ISBN 13 : 3319641735
Total Pages : 408 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Patterns of Dynamics by : Pavel Gurevich

Download or read book Patterns of Dynamics written by Pavel Gurevich and published by Springer. This book was released on 2018-02-07 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical advances in dynamical-systems theory and their applications to pattern-forming processes in the sciences and engineering are discussed in this volume that resulted from the conference Patterns in Dynamics held in honor of Bernold Fiedler, in Berlin, July 25-29, 2016.The contributions build and develop mathematical techniques, and use mathematical approaches for prediction and control of complex systems. The underlying mathematical theories help extract structures from experimental observations and, conversely, shed light on the formation, dynamics, and control of spatio-temporal patterns in applications. Theoretical areas covered include geometric analysis, spatial dynamics, spectral theory, traveling-wave theory, and topological data analysis; also discussed are their applications to chemotaxis, self-organization at interfaces, neuroscience, and transport processes.

Handbook of Computational Neurodegeneration

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Publisher : Springer Nature
ISBN 13 : 3319759221
Total Pages : 1031 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Handbook of Computational Neurodegeneration by : Panagiotis Vlamos

Download or read book Handbook of Computational Neurodegeneration written by Panagiotis Vlamos and published by Springer Nature. This book was released on 2023-07-25 with total page 1031 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Computational Neurodegeneration provides a comprehensive overview of the field and thus bridges the gap between standard textbooks of research on neurodegeneration and dispersed publications for specialists that have a narrowed focus on computational methods to study this complicated process. The handbook reviews the central issues and methodological approaches related to the field for which the reader pursues a thorough overview. It also conveys more advanced knowledge, thus serving both as an introductory text and as a starting point for an in-depth study of a specific area, as well as a quick reference source for the expert by reflecting the state of the art and future prospects. The book includes topics that are usually missing in standard textbooks and that are only marginally represented in the specific literature. The broad scope of this handbook is reflected by five major parts that facilitate an integration of computational concepts, methods and applications in the study of neurodegeneration. Each part is intended to stand on its own, giving an overview of the topic and the most important problems and approaches, which are supported by examples, practical applications, and proposed methodologies. The basic concepts and knowledge, standard procedures and methods are presented, as well as recent advances and new perspectives.

Computation in Complex Networks

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Publisher : MDPI
ISBN 13 : 3036506829
Total Pages : 352 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Computation in Complex Networks by : Clara Pizzuti

Download or read book Computation in Complex Networks written by Clara Pizzuti and published by MDPI. This book was released on 2021-09-02 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex networks are one of the most challenging research focuses of disciplines, including physics, mathematics, biology, medicine, engineering, and computer science, among others. The interest in complex networks is increasingly growing, due to their ability to model several daily life systems, such as technology networks, the Internet, and communication, chemical, neural, social, political and financial networks. The Special Issue “Computation in Complex Networks" of Entropy offers a multidisciplinary view on how some complex systems behave, providing a collection of original and high-quality papers within the research fields of: • Community detection • Complex network modelling • Complex network analysis • Node classification • Information spreading and control • Network robustness • Social networks • Network medicine

GeNeDis 2018

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Publisher : Springer Nature
ISBN 13 : 3030326225
Total Pages : 497 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis GeNeDis 2018 by : Panayiotis Vlamos

Download or read book GeNeDis 2018 written by Panayiotis Vlamos and published by Springer Nature. This book was released on 2020-05-28 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 3rd World Congress on Genetics, Geriatrics, and Neurodegenerative Disease Research (GeNeDis 2018), focuses on recent advances in genetics, geriatrics, and neurodegeneration, ranging from basic science to clinical and pharmaceutical developments. It also provides an international forum for the latest scientific discoveries, medical practices, and care initiatives. Advanced information technologies are discussed, including the basic research, implementation of medico-social policies, and the European and global issues in the funding of long-term care for elderly people.

Dynamics of Complex Autonomous Boolean Networks

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Publisher : Springer
ISBN 13 : 3319135783
Total Pages : 199 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Dynamics of Complex Autonomous Boolean Networks by : David P. Rosin

Download or read book Dynamics of Complex Autonomous Boolean Networks written by David P. Rosin and published by Springer. This book was released on 2014-12-31 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis focuses on the dynamics of autonomous Boolean networks, on the basis of Boolean logic functions in continuous time without external clocking. These networks are realized with integrated circuits on an electronic chip as a field programmable gate array (FPGA) with roughly 100,000 logic gates, offering an extremely flexible model system. It allows fast and cheap design cycles and large networks with arbitrary topologies and coupling delays. The author presents pioneering results on theoretical modeling, experimental realization, and selected applications. In this regard, three classes of novel dynamic behavior are investigated: (i) Chaotic Boolean networks are proposed as high-speed physical random number generators with high bit rates. (ii) Networks of periodic Boolean oscillators are home to long-living transient chimera states, i.e., novel patterns of coexisting domains of spatially coherent (synchronized) and incoherent (desynchronized) dynamics. (iii) Excitable networks exhibit cluster synchronization and can be used as fast artificial Boolean neurons whose spiking patterns can be controlled. This work presents the first experimental platform for large complex networks, which will facilitate exciting future developments.

Stochastic Systems with Time Delay

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Publisher : Springer Nature
ISBN 13 : 3030807711
Total Pages : 296 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Stochastic Systems with Time Delay by : Sarah A.M. Loos

Download or read book Stochastic Systems with Time Delay written by Sarah A.M. Loos and published by Springer Nature. This book was released on 2021-09-18 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nonequilibrium behavior of nanoscopic and biological systems, which are typically strongly fluctuating, is a major focus of current research. Lately, much progress has been made in understanding such systems from a thermodynamic perspective. However, new theoretical challenges emerge when the fluctuating system is additionally subject to time delay, e.g. due to the presence of feedback loops. This thesis advances this young and vibrant research field in several directions. The first main contribution concerns the probabilistic description of time-delayed systems; e.g. by introducing a versatile approximation scheme for nonlinear delay systems. Second, it reveals that delay can induce intriguing thermodynamic properties such as anomalous (reversed) heat flow. More generally, the thesis shows how to treat the thermodynamics of non-Markovian systems by introducing auxiliary variables. It turns out that delayed feedback is inextricably linked to nonreciprocal coupling, information flow, and to net energy input on the fluctuating level.

The Wealth of Networks

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Publisher : Yale University Press
ISBN 13 : 9780300125771
Total Pages : 532 pages
Book Rating : 4.1/5 (257 download)

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Book Synopsis The Wealth of Networks by : Yochai Benkler

Download or read book The Wealth of Networks written by Yochai Benkler and published by Yale University Press. This book was released on 2006-01-01 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes how patterns of information, knowledge, and cultural production are changing. The author shows that the way information and knowledge are made available can either limit or enlarge the ways people create and express themselves. He describes the range of legal and policy choices that confront.

Synchronization, Swarming and Emergent Behaviors in Complex Networks and Neuroscience

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Publisher : Frontiers Media SA
ISBN 13 : 2889745031
Total Pages : 279 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis Synchronization, Swarming and Emergent Behaviors in Complex Networks and Neuroscience by : Andrea Duggento

Download or read book Synchronization, Swarming and Emergent Behaviors in Complex Networks and Neuroscience written by Andrea Duggento and published by Frontiers Media SA. This book was released on 2022-03-24 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The New Frontier of Network Physiology: From Temporal Dynamics to the Synchronization and Principles of Integration in Networks of Physiological Systems

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Publisher : Frontiers Media SA
ISBN 13 : 2889714357
Total Pages : 842 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis The New Frontier of Network Physiology: From Temporal Dynamics to the Synchronization and Principles of Integration in Networks of Physiological Systems by : Plamen Ch. Ivanov

Download or read book The New Frontier of Network Physiology: From Temporal Dynamics to the Synchronization and Principles of Integration in Networks of Physiological Systems written by Plamen Ch. Ivanov and published by Frontiers Media SA. This book was released on 2022-02-17 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt: