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Controlling Synchronization Patterns in Complex Networks

2015-11-06 Science
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Release : 2015-11-06
Genre : Science
Kind : eBook
Book Rating : 155/5 ( reviews)

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Book Synopsis Controlling Synchronization Patterns in Complex Networks by : Judith Lehnert

Download or read book Controlling Synchronization Patterns in Complex Networks written by Judith Lehnert. This book was released on 2015-11-06. Available in PDF, EPUB and Kindle. Book excerpt: This research aims to achieve a fundamental understanding of synchronization and its interplay with the topology of complex networks. Synchronization is a ubiquitous phenomenon observed in different contexts in physics, chemistry, biology, medicine and engineering. Most prominently, synchronization takes place in the brain, where it is associated with several cognitive capacities but is - in abundance - a characteristic of neurological diseases. Besides zero-lag synchrony, group and cluster states are considered, enabling a description and study of complex synchronization patterns within the presented theory. Adaptive control methods are developed, which allow the control of synchronization in scenarios where parameters drift or are unknown. These methods are, therefore, of particular interest for experimental setups or technological applications. The theoretical framework is demonstrated on generic models, coupled chemical oscillators and several detailed examples of neural networks.

Synchronization and Control in Time-delayed Complex Networks and Spatio-temporal Patterns

2016
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Release : 2016
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Kind : eBook
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Book Synopsis Synchronization and Control in Time-delayed Complex Networks and Spatio-temporal Patterns by : Santo Banerjee

Download or read book Synchronization and Control in Time-delayed Complex Networks and Spatio-temporal Patterns written by Santo Banerjee. This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt:

Delay Controlled Partial Synchronization in Complex Networks

2019-11-30 Science
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Release : 2019-11-30
Genre : Science
Kind : eBook
Book Rating : 767/5 ( reviews)

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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. This book was released on 2019-11-30. 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 Synchrony in Complex Networks of Adaptively Coupled Oscillators

2021-05-31 Science
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Release : 2021-05-31
Genre : Science
Kind : eBook
Book Rating : 38X/5 ( reviews)

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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. This book was released on 2021-05-31. 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 Patterns in Networks

2020-03-09 Science
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Release : 2020-03-09
Genre : Science
Kind : eBook
Book Rating : 140/5 ( reviews)

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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. This book was released on 2020-03-09. 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.

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