Patterns Of Synchrony In Complex Networks Of Adaptively Coupled Oscillators

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Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators

Author : Rico Berner
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.

Bio-Inspired Information Pathways

Author : Martin Ziegler
Publisher : Springer Nature
ISBN 13 : 3031367057
Total Pages : 439 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Bio-Inspired Information Pathways by : Martin Ziegler

Download or read book Bio-Inspired Information Pathways written by Martin Ziegler and published by Springer Nature. This book was released on with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Python for Scientific Computing and Artificial Intelligence

Author : Stephen Lynch
Publisher : CRC Press
ISBN 13 : 100088967X
Total Pages : 334 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Python for Scientific Computing and Artificial Intelligence by : Stephen Lynch

Download or read book Python for Scientific Computing and Artificial Intelligence written by Stephen Lynch and published by CRC Press. This book was released on 2023-06-15 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Python for Scientific Computing and Artificial Intelligence is split into 3 parts: in Section 1, the reader is introduced to the Python programming language and shown how Python can aid in the understanding of advanced High School Mathematics. In Section 2, the reader is shown how Python can be used to solve real-world problems from a broad range of scientific disciplines. Finally, in Section 3, the reader is introduced to neural networks and shown how TensorFlow (written in Python) can be used to solve a large array of problems in Artificial Intelligence (AI). This book was developed from a series of national and international workshops that the author has been delivering for over twenty years. The book is beginner friendly and has a strong practical emphasis on programming and computational modelling. Features: No prior experience of programming is required. Online GitHub repository available with codes for readers to practice. Covers applications and examples from biology, chemistry, computer science, data science, electrical and mechanical engineering, economics, mathematics, physics, statistics and binary oscillator computing. Full solutions to exercises are available as Jupyter notebooks on the Web. Support Material GitHub Repository of Python Files and Notebooks: https://github.com/proflynch/CRC-Press/ Solutions to All Exercises: Section 1: An Introduction to Python: https://drstephenlynch.github.io/webpages/Solutions_Section_1.html Section 2: Python for Scientific Computing: https://drstephenlynch.github.io/webpages/Solutions_Section_2.html Section 3: Artificial Intelligence: https://drstephenlynch.github.io/webpages/Solutions_Section_3.html

Controlling Synchronization Patterns in Complex Networks

Author : Judith Lehnert
Publisher : Springer
ISBN 13 : 3319251155
Total Pages : 213 pages
Book Rating : 4.3/5 (192 download)

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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 and published by Springer. This book was released on 2015-11-06 with total page 213 pages. 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.

From Structure to Function in Neuronal Networks: Effects of Adaptation, Time-Delays, and Noise

Author : Serhiy Yanchuk
Publisher : Frontiers Media SA
ISBN 13 : 288976138X
Total Pages : 214 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis From Structure to Function in Neuronal Networks: Effects of Adaptation, Time-Delays, and Noise by : Serhiy Yanchuk

Download or read book From Structure to Function in Neuronal Networks: Effects of Adaptation, Time-Delays, and Noise written by Serhiy Yanchuk and published by Frontiers Media SA. This book was released on 2022-05-06 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Delay Controlled Partial Synchronization in Complex Networks

Author : Jakub Sawicki
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.

Chimera States in Complex Networks

Author : Eckehard Schöll
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:

Multiscale Modelling of Rhythm, Pattern and Information Generation: from Genome to Physiome

Author : Shangbin Chen
Publisher : Frontiers Media SA
ISBN 13 : 2889637468
Total Pages : 197 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Multiscale Modelling of Rhythm, Pattern and Information Generation: from Genome to Physiome by : Shangbin Chen

Download or read book Multiscale Modelling of Rhythm, Pattern and Information Generation: from Genome to Physiome written by Shangbin Chen and published by Frontiers Media SA. This book was released on 2020-06-08 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems

Author : Elbert E. N. Macau
Publisher : Springer
ISBN 13 : 3319785125
Total Pages : 232 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems by : Elbert E. N. Macau

Download or read book A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems written by Elbert E. N. Macau and published by Springer. This book was released on 2018-06-14 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects recent developments in nonlinear and complex systems. It provides up-to-date theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers symmetry groups, conservation laws, risk reduction management, barriers in Hamiltonian systems, and synchronization and chaotic transient. Illustrating mathematical modeling applications to nonlinear physics and nonlinear engineering, the book is ideal for academic and industrial researchers concerned with machinery and controls, manufacturing, and controls. · Introduces new concepts for understanding and modeling complex systems; · Explains risk reduction management in complex systems; · Examines the symmetry group approach to understanding complex systems; · Illustrates the relation between transient chaos and crises.

Complexity And Control: Towards A Rigorous Behavioral Theory Of Complex Dynamical Systems

Author : Vladimir G Ivancevic
Publisher : World Scientific
ISBN 13 : 981463588X
Total Pages : 610 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Complexity And Control: Towards A Rigorous Behavioral Theory Of Complex Dynamical Systems by : Vladimir G Ivancevic

Download or read book Complexity And Control: Towards A Rigorous Behavioral Theory Of Complex Dynamical Systems written by Vladimir G Ivancevic and published by World Scientific. This book was released on 2014-11-07 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book Complexity and Control: Towards a Rigorous Behavioral Theory of Complex Dynamical Systems is a graduate-level monographic textbook, intended to be a novel and rigorous contribution to modern Complexity Theory.This book contains 11 chapters and is designed as a one-semester course for engineers, applied and pure mathematicians, theoretical and experimental physicists, computer and economic scientists, theoretical chemists and biologists, as well as all mathematically educated scientists and students, both in industry and academia, interested in predicting and controlling complex dynamical systems of arbitrary nature.

Synchronization in Science and Technology

Author : Ilʹi︠a︡ Izrailevich Blekhman
Publisher : American Society of Mechanical Engineers
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Synchronization in Science and Technology by : Ilʹi︠a︡ Izrailevich Blekhman

Download or read book Synchronization in Science and Technology written by Ilʹi︠a︡ Izrailevich Blekhman and published by American Society of Mechanical Engineers. This book was released on 1988 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes examples and applications of synchronization, and gives the problem a working mathematical formulation. It presents the basic principles and results, as well as some of the open problems. It is intended for a wide range of specialists who may encounter nonlinear vibrations problems: mathematicians, engineers, physicists, chemists, and biologists, as well as students in these fields. Topics covered include: General Formulation of the Problems and Characteristics of the Basic Mathematical Apparatus for the Synchronization Theory of Dynamic Systems, Synchronization of Technological and Natural Objects, and Mathematical Apparatus and Principal Results of the General Theory of Synchronization of Weakly Coupled Dynamic Objects.

Nonlinear Dynamics and Applications

Author : Santo Banerjee
Publisher : Springer Nature
ISBN 13 : 3030997928
Total Pages : 1433 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Nonlinear Dynamics and Applications by : Santo Banerjee

Download or read book Nonlinear Dynamics and Applications written by Santo Banerjee and published by Springer Nature. This book was released on 2022-10-06 with total page 1433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers recent trends and applications of nonlinear dynamics in various branches of society, science, and engineering. The selected peer-reviewed contributions were presented at the International Conference on Nonlinear Dynamics and Applications (ICNDA 2022) at Sikkim Manipal Institute of Technology (SMIT) and cover a broad swath of topics ranging from chaos theory and fractals to quantum systems and the dynamics of the COVID-19 pandemic. Organized by the SMIT Department of Mathematics, this international conference offers an interdisciplinary stage for scientists, researchers, and inventors to present and discuss the latest innovations and trends in all possible areas of nonlinear dynamics.

Synchronization in Oscillatory Networks

Author : Grigory V. Osipov
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.

Neuromodulation Using Spatiotemporally Complex Patterns

Author : Hemant Bokil
Publisher : Frontiers Media SA
ISBN 13 : 283255413X
Total Pages : 142 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Neuromodulation Using Spatiotemporally Complex Patterns by : Hemant Bokil

Download or read book Neuromodulation Using Spatiotemporally Complex Patterns written by Hemant Bokil and published by Frontiers Media SA. This book was released on 2024-09-18 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent studies have highlighted that stimulation of the nervous system with spatiotemporal patterns may engage the nervous system in fundamentally different ways than can be achieved with conventional single-frequency stimulation. Coordinated Reset deep brain stimulation (DBS) may affect synaptic plasticity and result in long-lasting (after stimulation is turned off) effects. Spatio-temporal paired pulse stimulation can be used to induce spike timing dependent strengthening or weakening of synaptic connections between brain regions for therapeutic purposes. Burst stimulation may enable cell-type specific targeting, as recently shown in rodent models of DBS for Parkinson’s Disease and in thalamic DBS in humans. Burst stimulation has also shown promise in spinal cord for chronic pain and vagus nerve stimulation for cardiac applications. And multiple hierarchies of temporal patterning may have their own unique effect on the nervous system as evidenced by data on intermittent theta-burst transcranial magnetic stimulation for the control of depression.

Handbook on Biological Networks

Author : Stefano Boccaletti
Publisher : World Scientific
ISBN 13 : 9812838791
Total Pages : 465 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Handbook on Biological Networks by : Stefano Boccaletti

Download or read book Handbook on Biological Networks written by Stefano Boccaletti and published by World Scientific. This book was released on 2010 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Networked systems are all around us. The accumulated evidence of systems as complex as a cell cannot be fully understood by studying only their isolated constituents, giving rise to a new area of interest in research ? the study of complex networks. In a broad sense, biological networks have been one of the most studied networks, and the field has benefited from many important contributions. By understanding and modeling the structure of a biological network, a better perception of its dynamical and functional behavior is to be expected. This unique book compiles the most relevant results and novel insights provided by network theory in the biological sciences, ranging from the structure and dynamics of the brain to cellular and protein networks and to population-level biology.

Rhythms of the Brain

Author : G. Buzsáki
Publisher : Oxford University Press
ISBN 13 : 0199828237
Total Pages : 465 pages
Book Rating : 4.1/5 (998 download)

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Book Synopsis Rhythms of the Brain by : G. Buzsáki

Download or read book Rhythms of the Brain written by G. Buzsáki and published by Oxford University Press. This book was released on 2011 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies of mechanisms in the brain that allow complicated things to happen in a coordinated fashion have produced some of the most spectacular discoveries in neuroscience. This book provides eloquent support for the idea that spontaneous neuron activity, far from being mere noise, is actually the source of our cognitive abilities. It takes a fresh look at the coevolution of structure and function in the mammalian brain, illustrating how self-emerged oscillatory timing is the brain's fundamental organizer of neuronal information. The small-world-like connectivity of the cerebral cortex allows for global computation on multiple spatial and temporal scales. The perpetual interactions among the multiple network oscillators keep cortical systems in a highly sensitive "metastable" state and provide energy-efficient synchronizing mechanisms via weak links. In a sequence of "cycles," György Buzsáki guides the reader from the physics of oscillations through neuronal assembly organization to complex cognitive processing and memory storage. His clear, fluid writing-accessible to any reader with some scientific knowledge-is supplemented by extensive footnotes and references that make it just as gratifying and instructive a read for the specialist. The coherent view of a single author who has been at the forefront of research in this exciting field, this volume is essential reading for anyone interested in our rapidly evolving understanding of the brain.

The Evolution of Rhythm Cognition: Timing in Music and Speech

Author : Andrea Ravignani
Publisher : Frontiers Media SA
ISBN 13 : 2889455009
Total Pages : 391 pages
Book Rating : 4.8/5 (894 download)

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Book Synopsis The Evolution of Rhythm Cognition: Timing in Music and Speech by : Andrea Ravignani

Download or read book The Evolution of Rhythm Cognition: Timing in Music and Speech written by Andrea Ravignani and published by Frontiers Media SA. This book was released on 2018-07-24 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Human speech and music share a number of similarities and differences. One of the closest similarities is their temporal nature as both (i) develop over time, (ii) form sequences of temporal intervals, possibly differing in duration and acoustical marking by different spectral properties, which are perceived as a rhythm, and (iii) generate metrical expectations. Human brains are particularly efficient in perceiving, producing, and processing fine rhythmic information in music and speech. However a number of critical questions remain to be answered: Where does this human sensitivity for rhythm arise? How did rhythm cognition develop in human evolution? How did environmental rhythms affect the evolution of brain rhythms? Which rhythm-specific neural circuits are shared between speech and music, or even with other domains? Evolutionary processes’ long time scales often prevent direct observation: understanding the psychology of rhythm and its evolution requires a close-fitting integration of different perspectives. First, empirical observations of music and speech in the field are contrasted and generate testable hypotheses. Experiments exploring linguistic and musical rhythm are performed across sensory modalities, ages, and animal species to address questions about domain-specificity, development, and an evolutionary path of rhythm. Finally, experimental insights are integrated via synthetic modeling, generating testable predictions about brain oscillations underlying rhythm cognition and its evolution. Our understanding of the cognitive, neurobiological, and evolutionary bases of rhythm is rapidly increasing. However, researchers in different fields often work on parallel, potentially converging strands with little mutual awareness. This research topic builds a bridge across several disciplines, focusing on the cognitive neuroscience of rhythm as an evolutionary process. It includes contributions encompassing, although not limited to: (1) developmental and comparative studies of rhythm (e.g. critical acquisition periods, innateness); (2) evidence of rhythmic behavior in other species, both spontaneous and in controlled experiments; (3) comparisons of rhythm processing in music and speech (e.g. behavioral experiments, systems neuroscience perspectives on music-speech networks); (4) evidence on rhythm processing across modalities and domains; (5) studies on rhythm in interaction and context (social, affective, etc.); (6) mathematical and computational (e.g. connectionist, symbolic) models of “rhythmicity” as an evolved behavior.