Chimera States In Complex Networks

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Chimera States In Complex Networks

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Author : Eckehard Schöll
language : en
Publisher: Frontiers Media SA
Release Date : 2020-01-03

Chimera States In Complex Networks written by Eckehard Schöll 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 2020-01-03 with categories.

Chimera Patterns In Networks

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Author : Anna Zakharova
language : en
Publisher: Springer Nature
Release Date : 2020-03-09

Chimera Patterns In Networks written by Anna Zakharova and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-09 with Science categories.

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.

Control Of Chimera States In Oscillator Networks

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Author : Giulia Ruzzene
language : en
Publisher:
Release Date : 2020

Control Of Chimera States In Oscillator Networks written by Giulia Ruzzene and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.

Partial synchronization is an important phenomenon observed in nature and model systems. Chimera states are the most studied type of partially synchronized dynamics and attract interest from many fields of science. In homogeneous networks of identical oscillators, a chimera state is a symmetry broken dynamics in which the oscillators spontaneously split into two complementary groups: one in which they are synchronized and one in which they are not. The quest for chimera states in real-world scenarios has been made challenging by their unstable nature in systems of finite size. Therefore, it became crucial to find ways to control them. In this thesis we propose a new control method based on a pacemaker oscillator. We show how it can control all of the chimeras' instabilities in networks of phase oscillators and we generalized this concept to more complex scenarios by applying it to multiplex networks of phase and FitzHugh-Nagumo oscillators.

Complex Networks Their Applications Ix

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Author : Rosa M. Benito
language : en
Publisher: Springer Nature
Release Date : 2020-12-19

Complex Networks Their Applications Ix written by Rosa M. Benito and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-19 with Technology & Engineering categories.

This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students and practitioners a unique update on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the IX International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2020). The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure, network dynamics; diffusion, epidemics and spreading processes; resilience and control as well as all the main network applications, including social and political networks; networks in finance and economics; biological and neuroscience networks and technological networks.

Computation In Complex Networks

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Author : Clara Pizzuti
language : en
Publisher: MDPI
Release Date : 2021-09-02

Computation In Complex Networks written by Clara Pizzuti and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-02 with Technology & Engineering categories.

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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Author : Jakub Sawicki
language : en
Publisher: Springer Nature
Release Date : 2019-11-30

Delay Controlled Partial Synchronization In Complex Networks written by Jakub Sawicki and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-30 with Science categories.

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.

Synchronization In Networks Of Nonlinear Circuits

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Author : Mattia Frasca
language : en
Publisher: Springer
Release Date : 2018-03-10

Synchronization In Networks Of Nonlinear Circuits written by Mattia Frasca and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-10 with Technology & Engineering categories.

This book addresses synchronization in networks of coupled systems. It illustrates the main aspects of the phenomenon through concise theoretical results and code, allowing readers to reproduce them and encouraging readers to pursue their own experimentation. The book begins by introducing the mathematical representation of nonlinear circuits and the code for their simulation. This is followed by a brief account of the concept of the complex network, which describes the main aspects of complex networks and the main model types, with a particular focus on the code used to study and reproduce the models. The focus then shifts to the process through which independent nonlinear circuits that follow different trajectories without coupling share some properties of their motion: synchronization. The authors present the main techniques for studying synchronization in complex networks, including the major measures, the stability properties and control techniques. The book then moves on to advanced topics in synchronization of complex networks by examining forms of synchronization in which not all the units share the same trajectory, namely chimera states, clustering synchronization, and relay and remote synchronization. Simple codes for experimentation with these topics and control methods are also provided. In closing, the book addresses the problem of synchronization in time-varying networks.

Optimal Design Of The Tweezer Control For Chimera States

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Author : Iryna Omelchenko
language : en
Publisher:
Release Date : 2017

Optimal Design Of The Tweezer Control For Chimera States written by Iryna Omelchenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.

Chimera states are complex spatio-temporal patterns, which consist of coexisting domains of spatially coherent and incoherent dynamics in systems of coupled oscillators. In small networks, chimera states usually exhibit short lifetimes and erratic drifting of the spatial position of the incoherent domain. A tweezer feedback control scheme can stabilize and fix the position of chimera states. We analyse the action of the tweezer control in small nonlocally coupled networks of Van der Pol and FitzHugh-Nagumo oscillators, and determine the ranges of optimal control parameters. We demonstrate that the tweezer control scheme allows for stabilization of chimera states with different shapes, and can be used as an instrument for controlling the coherent domains size, as well as the maximum average frequency difference of the oscillators.

Patterns Of Synchrony In Complex Networks Of Adaptively Coupled Oscillators

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Author : Rico Berner
language : en
Publisher: Springer Nature
Release Date : 2021-05-31

Patterns Of Synchrony In Complex Networks Of Adaptively Coupled Oscillators written by Rico Berner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-31 with Science categories.

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.

Synchronization Swarming And Emergent Behaviors In Complex Networks And Neuroscience

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Author : Andrea Duggento
language : en
Publisher: Frontiers Media SA
Release Date : 2022-03-24

Synchronization Swarming And Emergent Behaviors In Complex Networks And Neuroscience written by Andrea Duggento 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 2022-03-24 with Science categories.