Collective Dynamics in Complex Networks of Noisy Phase Oscillators

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Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832543759
Total Pages : 128 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Collective Dynamics in Complex Networks of Noisy Phase Oscillators by : Bernard Sonnenschein

Download or read book Collective Dynamics in Complex Networks of Noisy Phase Oscillators written by Bernard Sonnenschein and published by Logos Verlag Berlin GmbH. This book was released on 2016-11-21 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work aims to contribute to our understanding of the effects of noise and non-uniform interactions in populations of oscillatory units. In particular, we explore the collective dynamics in various extensions of the Kuramoto model. We develop a theoretical framework to study such noisy systems and we show through many examples that indeed new insights can be gained with our method. The first step is to coarse-grain the complex networks. The oscillatory units are then characterized solely by their individual quantities, so that identical units can be grouped together. The second step consists of the ansatz that in all these groups the distributions of the oscillators' phases follow time-dependent Gaussians. We apply this analytical two-step method to oscillator networks with correlations between coupling strengths and natural frequencies, to populations with mixed positive and negative coupling strengths, and to noise-driven active rotators, which can perform excitable dynamics. We calculate the rich phase diagrams that delineate the emergent rhythms. Extensive numerical simulations are performed to show both the validity and the limitations of our theoretical results.

High-Dimensional Chaotic and Attractor Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1402054564
Total Pages : 711 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis High-Dimensional Chaotic and Attractor Systems by : Vladimir G. Ivancevic

Download or read book High-Dimensional Chaotic and Attractor Systems written by Vladimir G. Ivancevic and published by Springer Science & Business Media. This book was released on 2007-02-06 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate–level textbook is devoted to understanding, prediction and control of high–dimensional chaotic and attractor systems of real life. The objective is to provide the serious reader with a serious scientific tool that will enable the actual performance of competitive research in high–dimensional chaotic and attractor dynamics. From introductory material on low-dimensional attractors and chaos, the text explores concepts including Poincaré’s 3-body problem, high-tech Josephson junctions, and more.

The Handbook of Brain Theory and Neural Networks

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Publisher : MIT Press
ISBN 13 : 0262011972
Total Pages : 1328 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis The Handbook of Brain Theory and Neural Networks by : Michael A. Arbib

Download or read book The Handbook of Brain Theory and Neural Networks written by Michael A. Arbib and published by MIT Press. This book was released on 2003 with total page 1328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition presents the enormous progress made in recent years in the many subfields related to the two great questions : how does the brain work? and, How can we build intelligent machines? This second edition greatly increases the coverage of models of fundamental neurobiology, cognitive neuroscience, and neural network approaches to language. (Midwest).

Emergence Of Dynamical Order: Synchronization Phenomena In Complex Systems

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Publisher : World Scientific
ISBN 13 : 9814482951
Total Pages : 359 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Emergence Of Dynamical Order: Synchronization Phenomena In Complex Systems by : Susanna C Manrubia

Download or read book Emergence Of Dynamical Order: Synchronization Phenomena In Complex Systems written by Susanna C Manrubia and published by World Scientific. This book was released on 2004-04-14 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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:

Collective Behavior in Complex Networked Systems under Imperfect Communication

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Publisher : Springer Nature
ISBN 13 : 9811615063
Total Pages : 269 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Collective Behavior in Complex Networked Systems under Imperfect Communication by : Jianquan Lu

Download or read book Collective Behavior in Complex Networked Systems under Imperfect Communication written by Jianquan Lu and published by Springer Nature. This book was released on 2021-07-06 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to explain how collective behavior is formed via local interactions under imperfect communication in complex networked systems. It also presents some new distributed protocols or algorithms for complex networked systems to comply with bandwidth limitation and tolerate communication delays. This book will be of particular interest to the readers due to the benefits: 1) it studies the effect of time delay and quantization on the collective behavior by non-smooth analytical technique and algebraic graph theory; 2) it introduces the event-based consensus method under delayed information transmission; In the meantime, it presents some novel approaches to handle the communication constraints in networked systems; 3) it gives some synchronization and control strategies for complex networked systems with limited communication abilities. Furthermore, it provides a consensus recovery approach for multi-agent systems with node failure. Also, it presents interesting results about bipartite consensus and fixed-time/finite-time bipartite consensus of networks with cooperative and antagonistic interactions.

Synchronization and Waves in Active Media

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Publisher : Springer
ISBN 13 : 3030110575
Total Pages : 172 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Synchronization and Waves in Active Media by : Jan Frederik Totz

Download or read book Synchronization and Waves in Active Media written by Jan Frederik Totz and published by Springer. This book was released on 2019-01-18 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interplay between synchronization and spatio-temporal pattern formation is central for a broad variety of phenomena in nature, such as the coordinated contraction of heart tissue, associative memory and learning in neural networks, and pathological synchronization during Parkinson disease or epilepsy. In this thesis, three open puzzles of fundametal research in Nonlinear Dynamics are tackled: How does spatial confinement affect the dynamics of three-dimensional vortex rings? What role do permutation symmetries play in the spreading of excitation waves on networks? Does the spiral wave chimera state really exist? All investigations combine a theoretical approach and experimental verification, which exploit an oscillatory chemical reaction. A novel experimental setup is developed that allows for studying networks with N > 1000 neuromorphic relaxation oscillators. It facilitates the free choice of network topology, coupling function as well as its strength, range and time delay, which can even be chosen as time-dependent. These experimental capabilities open the door to a broad range of future experimental inquiries into pattern formation and synchronization on large networks, which were previously out of reach.

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:

Computational Modelling of the Brain

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Publisher : Springer Nature
ISBN 13 : 3030894398
Total Pages : 361 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Computational Modelling of the Brain by : Michele Giugliano

Download or read book Computational Modelling of the Brain written by Michele Giugliano and published by Springer Nature. This book was released on 2022-04-26 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers an up-to-date overview of essential concepts and modern approaches to computational modelling, including the use of experimental techniques related to or directly inspired by them. The book introduces, at increasing levels of complexity and with the non-specialist in mind, state-of-the-art topics ranging from single-cell and molecular descriptions to circuits and networks. Four major themes are covered, including subcellular modelling of ion channels and signalling pathways at the molecular level, single-cell modelling at different levels of spatial complexity, network modelling from local microcircuits to large-scale simulations of entire brain areas and practical examples. Each chapter presents a systematic overview of a specific topic and provides the reader with the fundamental tools needed to understand the computational modelling of neural dynamics. This book is aimed at experimenters and graduate students with little or no prior knowledge of modelling who are interested in learning about computational models from the single molecule to the inter-areal communication of brain structures. The book will appeal to computational neuroscientists, engineers, physicists and mathematicians interested in contributing to the field of neuroscience. Chapters 6, 10 and 11 are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

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

Delay Controlled Partial Synchronization in Complex Networks

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Publisher : Springer Nature
ISBN 13 : 3030340767
Total Pages : 175 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 175 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.

Cortico-cortical Communication Dynamics

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Publisher : Frontiers E-books
ISBN 13 : 2889192881
Total Pages : 134 pages
Book Rating : 4.8/5 (891 download)

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Book Synopsis Cortico-cortical Communication Dynamics by : Gustavo Deco

Download or read book Cortico-cortical Communication Dynamics written by Gustavo Deco and published by Frontiers E-books. This book was released on 2014-10-17 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nothing provided

Consensus and Synchronization in Complex Networks

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Publisher : Springer
ISBN 13 : 3642333591
Total Pages : 282 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Consensus and Synchronization in Complex Networks by : Ljupco Kocarev

Download or read book Consensus and Synchronization in Complex Networks written by Ljupco Kocarev and published by Springer. This book was released on 2013-01-18 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book for the first time two scientific fields - consensus formation and synchronization of communications - are presented together and examined through their interrelational aspects, of rapidly growing importance. Both fields have indeed attracted enormous research interest especially in relation to complex networks. In networks of dynamic systems (or agents), consensus means to reach an agreement regarding a certain quantity of interest that depends on the state of all dynamical systems (agents). Consensus problems have a long history in control theory and computer sciences, and form the foundation of the field of distributed computing. Synchronization, which defines correlated-in-time behavior between different processes and roots going back to Huygens to the least, is now a highly popular, exciting and rapidly developing topic, with applications ranging from biological networks to mathematical epidemiology, and from processing information in the brain to engineering of communications devices. The book reviews recent finding in both fields and describes novel approaches to consensus formation, where consensus is realized as an instance of the nonlinear dynamics paradigm of chaos synchronization. The chapters are written by world-known experts in both fields and cover topics ranging from fundaments to various applications of consensus and synchronization.

Synchronization in Oscillatory Networks

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Publisher : Springer Science & Business Media
ISBN 13 : 3540712690
Total Pages : 373 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Synchronization in Oscillatory Networks by : Grigory V. Osipov

Download or read book Synchronization in Oscillatory Networks written by Grigory V. Osipov and published by Springer Science & Business Media. This book was released on 2007-08-10 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work systematically investigates a large number of oscillatory network configurations that are able to describe many real systems such as electric power grids, lasers or even the heart muscle, to name but a few. The book is conceived as an introduction to the field for graduate students in physics and applied mathematics as well as being a compendium for researchers from any field of application interested in quantitative models.

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3

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Publisher : Springer
ISBN 13 : 3642340172
Total Pages : 297 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3 by : Santo Banerjee

Download or read book Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3 written by Santo Banerjee and published by Springer. This book was released on 2013-06-12 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. This third volume concentrates on reviewing further relevant contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. This encompasses, but is not limited to, topics such fluctuation relations and chaotic dynamics in physics, fractals and their applications in epileptic seizures, as well as chaos synchronization. Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications.

Fractional Calculus and its Applications in Physics

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Publisher : Frontiers Media SA
ISBN 13 : 2889459586
Total Pages : 93 pages
Book Rating : 4.8/5 (894 download)

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Book Synopsis Fractional Calculus and its Applications in Physics by : Dumitru Baleanu

Download or read book Fractional Calculus and its Applications in Physics written by Dumitru Baleanu and published by Frontiers Media SA. This book was released on 2019-11-15 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Life System Modeling and Simulation

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Publisher : Springer
ISBN 13 : 3540747710
Total Pages : 580 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Life System Modeling and Simulation by : Minrui Fei

Download or read book Life System Modeling and Simulation written by Minrui Fei and published by Springer. This book was released on 2007-08-24 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is part of a two-volume work that constitutes the refereed proceedings of the International Conference on Life System Modeling and Simulation, LSMS 2007, held in Shanghai, China, September 2007. Coverage includes modeling and simulation of societies and collective behavior, computational methods and intelligence in biomechanical systems, tissue engineering and clinical bioengineering, computational intelligence in bioinformatics and biometrics, and brain stimulation.