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Author: Giulia Ruzzene Publisher: ISBN: Category : Languages : en Pages : 96
Book Description
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.
Author: Giulia Ruzzene Publisher: ISBN: Category : Languages : en Pages : 96
Book Description
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.
Author: Anna Zakharova Publisher: Springer Nature ISBN: 3030217140 Category : Science Languages : en Pages : 243
Book Description
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.
Author: Eckehard Schöll Publisher: Springer ISBN: 3319280287 Category : Science Languages : en Pages : 478
Book Description
The book summarizes the state-of-the-art of research on control of self-organizing nonlinear systems with contributions from leading international experts in the field. The first focus concerns recent methodological developments including control of networks and of noisy and time-delayed systems. As a second focus, the book features emerging concepts of application including control of quantum systems, soft condensed matter, and biological systems. Special topics reflecting the active research in the field are the analysis and control of chimera states in classical networks and in quantum systems, the mathematical treatment of multiscale systems, the control of colloidal and quantum transport, the control of epidemics and of neural network dynamics.
Author: Valeri M. Mladenov Publisher: Springer ISBN: 3319086723 Category : Computers Languages : en Pages : 416
Book Description
This book constitutes the refereed proceedings of the 22nd International Conference on Nonlinear Dynamics of Electronic Systems, NDES 2014, held in Albena, Bulgaria, in July 2014. The 47 revised full papers presented were carefully reviewed and selected from 65 submissions. The papers are organized in topical sections on nonlinear oscillators, circuits and electronic systems; networks and nonlinear dynamics and nonlinear phenomena in biological and physiological systems.
Author: Rosa M. Benito Publisher: Springer Nature ISBN: 3030653471 Category : Technology & Engineering Languages : en Pages : 702
Book Description
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.
Author: Ying-Cheng Lai Publisher: Springer Science & Business Media ISBN: 144196987X Category : Mathematics Languages : en Pages : 499
Book Description
The aim of this Book is to give an overview, based on the results of nearly three decades of intensive research, of transient chaos. One belief that motivates us to write this book is that, transient chaos may not have been appreciated even within the nonlinear-science community, let alone other scientific disciplines.
Author: Arthur T. Winfree Publisher: Springer Science & Business Media ISBN: 3662224925 Category : Mathematics Languages : en Pages : 543
Book Description
As 1 review these pages, the last of them written in Summer 1978, some retrospec tive thoughts come to mind which put the whole business into better perspective for me and might aid the prospective reader in choosing how to approach this volume. The most conspicuous thought in my mind at present is the diversity of wholly independent explorations that came upon phase singularities, in one guise or another, during the past decade. My efforts to gather the published literature during the last phases of actually writing a whole book about them were almost equally divided between libraries of Biology, Chemistry, Engineering, Mathematics, Medicine, and Physics. A lot of what 1 call "gathering " was done somewhat in anticipation in the form of cönjecture, query, and prediction based on analogy between developments in different fields. The consequence throughout 1979 was that our long-suffering publisher re peatedly had to replace such material by citation of unexpected flurries of papers giving substantive demonstration. 1 trust that the authors of these many excellent reports, and especially of those I only found too late, will forgive the brevity of allusion I feIt compelled to observe in these substitutions. A residue of loose ends is largely collected in the index under "QUERIES. " It is c1ear to me already that the materials I began to gather several years ago represented only the first flickering of what turns out to be a substantial conflagration.
Author: Giulia Ruzzene
Author: Giulia Ruzzene
Author: Eckehard Schöll
Author: Anna Zakharova
Author: Eckehard Schöll
Author: Valeri M. Mladenov
Author: Jan Sieber
Author: Rosa M. Benito
Author: Ying-Cheng Lai
Author: Plamen Ch. Ivanov
Author: Arthur T. Winfree