Chimera States in Complex Networks

Chimera States in Complex Networks
Title Chimera States in Complex Networks PDF eBook
Author Eckehard Schöll
Publisher Frontiers Media SA
Pages 148
Release 2020-01-03
Genre
ISBN 288963311X

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Chimera Patterns in Networks

Chimera Patterns in Networks
Title Chimera Patterns in Networks PDF eBook
Author Anna Zakharova
Publisher Springer Nature
Pages 243
Release 2020-03-09
Genre Science
ISBN 3030217140

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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.

Complex Networks & Their Applications IX

Complex Networks & Their Applications IX
Title Complex Networks & Their Applications IX PDF eBook
Author Rosa M. Benito
Publisher Springer Nature
Pages 702
Release 2020-12-19
Genre Technology & Engineering
ISBN 3030653471

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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.

Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators

Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators
Title Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators PDF eBook
Author Rico Berner
Publisher Springer Nature
Pages 210
Release 2021-05-31
Genre Science
ISBN 303074938X

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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.

Delay Controlled Partial Synchronization in Complex Networks

Delay Controlled Partial Synchronization in Complex Networks
Title Delay Controlled Partial Synchronization in Complex Networks PDF eBook
Author Jakub Sawicki
Publisher Springer Nature
Pages 175
Release 2019-11-30
Genre Science
ISBN 3030340767

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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, Swarming and Emergent Behaviors in Complex Networks and Neuroscience

Synchronization, Swarming and Emergent Behaviors in Complex Networks and Neuroscience
Title Synchronization, Swarming and Emergent Behaviors in Complex Networks and Neuroscience PDF eBook
Author Andrea Duggento
Publisher Frontiers Media SA
Pages 279
Release 2022-03-24
Genre Science
ISBN 2889745031

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Computation in Complex Networks

Computation in Complex Networks
Title Computation in Complex Networks PDF eBook
Author Clara Pizzuti
Publisher MDPI
Pages 352
Release 2021-09-02
Genre Technology & Engineering
ISBN 3036506829

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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