Delay Coupled Complex Systems

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Delay-Coupled Complex Systems

Valentin Flunkert
Delay Coupled Complex Systems Book PDF

Author : Valentin Flunkert
Publisher : Springer Science & Business Media
Page : 181 pages
File Size : 50,6 Mb
Release : 2011-06-25
Category : Science
ISBN : 9783642202506

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Delay-Coupled Complex Systems by Valentin Flunkert Pdf

This work addresses time-delay in complex nonlinear systems and, in particular, its applications in complex networks; its role in control theory and nonlinear optics are also investigated. Delays arise naturally in networks of coupled systems due to finite signal propagation speeds and are thus a key issue in many areas of physics, biology, medicine, and technology. Synchronization phenomena in these networks play an important role, e.g., in the context of learning, cognitive and pathological states in the brain, for secure communication with chaotic lasers or for gene regulation. The thesis includes both novel results on the control of complex dynamics by time-delayed feedback and fundamental new insights into the interplay of delay and synchronization. One of the most interesting results here is a solution to the problem of complete synchronization in general networks with large coupling delay, i.e., large distances between the nodes, by giving a universal classification of networks that has a wide range of interdisciplinary applications.

Complex Time-Delay Systems

Fatihcan M. Atay
Complex Time Delay Systems Book PDF

Author : Fatihcan M. Atay
Publisher : Springer
Page : 328 pages
File Size : 44,7 Mb
Release : 2010-03-10
Category : Science
ISBN : 9783642023293

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Complex Time-Delay Systems by Fatihcan M. Atay Pdf

One of the major contemporary challenges in both physical and social sciences is modeling, analyzing, and understanding the self-organization, evolution, behavior, and eventual decay of complex dynamical systems ranging from cell assemblies to the human brain to animal societies. The multi-faceted problems in this domain require a wide range of methods from various scienti?c disciplines. There is no question that the inclusion of time delays in complex system models considerably enriches the challenges presented by the problems. Although this inclusion often becomes inevitable as real-world applications demand more and more realistic m- els, the role of time delays in the context of complex systems so far has not attracted the interest it deserves. The present volume is an attempt toward ?lling this gap. There exist various useful tools for the study of complex time-delay systems. At the forefront is the mathematical theory of delay equations, a relatively mature ?eld in many aspects, which provides some powerful techniques for analytical inquiries, along with some other tools from statistical physics, graph theory, computer science, dynamical systems theory, probability theory, simulation and optimization software, and so on. Nevertheless, the use of these methods requires a certain synergy to address complex systems problems, especially in the presence of time delays.

Delay Controlled Partial Synchronization in Complex Networks

Jakub Sawicki
Delay Controlled Partial Synchronization in Complex Networks Book PDF

Author : Jakub Sawicki
Publisher : Springer Nature
Page : 166 pages
File Size : 47,7 Mb
Release : 2019-11-30
Category : Science
ISBN : 9783030340766

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Delay Controlled Partial Synchronization in Complex Networks by Jakub Sawicki Pdf

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.

Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors

Christos Volos,Sajad Jafari,Jacques Kengne,Jesus M. Munoz-Pacheco,Karthikeyan Rajagopal
Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self excited Attractors Book PDF

Author : Christos Volos,Sajad Jafari,Jacques Kengne,Jesus M. Munoz-Pacheco,Karthikeyan Rajagopal
Publisher : MDPI
Page : 290 pages
File Size : 50,5 Mb
Release : 2019-05-03
Category : Technology & Engineering
ISBN : 9783038978985

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Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors by Christos Volos,Sajad Jafari,Jacques Kengne,Jesus M. Munoz-Pacheco,Karthikeyan Rajagopal Pdf

In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.

Selforganization in Complex Systems: The Past, Present, and Future of Synergetics

Günter Wunner,Axel Pelster
Selforganization in Complex Systems The Past Present and Future of Synergetics Book PDF

Author : Günter Wunner,Axel Pelster
Publisher : Springer
Page : 364 pages
File Size : 53,7 Mb
Release : 2015-12-26
Category : Technology & Engineering
ISBN : 9783319276359

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Selforganization in Complex Systems: The Past, Present, and Future of Synergetics by Günter Wunner,Axel Pelster Pdf

This proceedings volume contains talks and poster presentations from the International Symposium "Self-Organization in Complex Systems: The Past, Present, and Future of Synergetics", which took place at Hanse-Wissenschaftskolleg, an Institute of Advanced Studies, in Delmenhorst, Germany, during the period November 13 - 16, 2012. The Symposium was organized in honour of Hermann Haken, who celebrated his 85th birthday in 2012. With his fundamental theory of Synergetics he had laid the mathematical-physical basis for describing and analyzing self-organization processes in a diversity of fields of research. The quest for common and universal principles of self-organization in complex systems was clearly covered by the wide range of interdisciplinary topics reported during the Symposium. These extended from complexity in classical systems and quantum systems over self-organisation in neuroscience even to the physics of finance. Moreover, by combining a historical view with a present status report the Symposium conveyed an impression of the allure and potency of this branch of research as well as its applicability in the future.

ISCS 2014: Interdisciplinary Symposium on Complex Systems

Ali Sanayei,Otto E. Rössler,Ivan Zelinka
ISCS 2014 Interdisciplinary Symposium on Complex Systems Book PDF

Author : Ali Sanayei,Otto E. Rössler,Ivan Zelinka
Publisher : Springer
Page : 362 pages
File Size : 45,8 Mb
Release : 2014-08-28
Category : Technology & Engineering
ISBN : 9783319107592

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ISCS 2014: Interdisciplinary Symposium on Complex Systems by Ali Sanayei,Otto E. Rössler,Ivan Zelinka Pdf

The book you hold in your hands is the outcome of the “2014 Interdisciplinary Symposium on Complex Systems” held in the historical city of Florence. The book consists of 37 chapters from 4 areas of Physical Modeling of Complex Systems, Evolutionary Computations, Complex Biological Systems and Complex Networks. All 4 parts contain contributions that give interesting point of view on complexity in different areas in science and technology. The book starts with a comprehensive overview and classification of complexity problems entitled Physics in the world of ideas: Complexity as Energy” , followed by chapters about complexity measures and physical principles, its observation, modeling and its applications, to solving various problems including real-life applications. Further chapters contain recent research about evolution, randomness and complexity, as well as complexity in biological systems and complex networks. All selected papers represent innovative ideas, philosophical overviews and state-of-the-art discussions on aspects of complexity. The book will be useful as an instructional material for senior undergraduate and entry-level graduate students in computer science, physics, applied mathematics and engineering-type work in the area of complexity. The book will also be valuable as a resource of knowledge for practitioners who want to apply complexity to solve real-life problems in their own challenging applications.

Dynamics of Complex Autonomous Boolean Networks

David P. Rosin
Dynamics of Complex Autonomous Boolean Networks Book PDF

Author : David P. Rosin
Publisher : Springer
Page : 208 pages
File Size : 42,5 Mb
Release : 2014-12-31
Category : Science
ISBN : 9783319135786

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Dynamics of Complex Autonomous Boolean Networks by David P. Rosin Pdf

This thesis focuses on the dynamics of autonomous Boolean networks, on the basis of Boolean logic functions in continuous time without external clocking. These networks are realized with integrated circuits on an electronic chip as a field programmable gate array (FPGA) with roughly 100,000 logic gates, offering an extremely flexible model system. It allows fast and cheap design cycles and large networks with arbitrary topologies and coupling delays. The author presents pioneering results on theoretical modeling, experimental realization, and selected applications. In this regard, three classes of novel dynamic behavior are investigated: (i) Chaotic Boolean networks are proposed as high-speed physical random number generators with high bit rates. (ii) Networks of periodic Boolean oscillators are home to long-living transient chimera states, i.e., novel patterns of coexisting domains of spatially coherent (synchronized) and incoherent (desynchronized) dynamics. (iii) Excitable networks exhibit cluster synchronization and can be used as fast artificial Boolean neurons whose spiking patterns can be controlled. This work presents the first experimental platform for large complex networks, which will facilitate exciting future developments.

Controlling Synchronization Patterns in Complex Networks

Judith Lehnert
Controlling Synchronization Patterns in Complex Networks Book PDF

Author : Judith Lehnert
Publisher : Springer
Page : 203 pages
File Size : 47,6 Mb
Release : 2015-11-06
Category : Science
ISBN : 9783319251158

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Controlling Synchronization Patterns in Complex Networks by Judith Lehnert Pdf

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.

Qualitative Analysis and Control of Complex Neural Networks with Delays

Zhanshan Wang,Zhenwei Liu,Chengde Zheng
Qualitative Analysis and Control of Complex Neural Networks with Delays Book PDF

Author : Zhanshan Wang,Zhenwei Liu,Chengde Zheng
Publisher : Springer
Page : 388 pages
File Size : 55,8 Mb
Release : 2015-07-18
Category : Technology & Engineering
ISBN : 9783662474846

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Qualitative Analysis and Control of Complex Neural Networks with Delays by Zhanshan Wang,Zhenwei Liu,Chengde Zheng Pdf

This book focuses on the stability of the dynamical neural system, synchronization of the coupling neural system and their applications in automation control and electrical engineering. The redefined concept of stability, synchronization and consensus are adopted to provide a better explanation of the complex neural network. Researchers in the fields of dynamical systems, computer science, electrical engineering and mathematics will benefit from the discussions on complex systems. The book will also help readers to better understand the theory behind the control technique and its design.

Dynamics of Quantum Dot Lasers

Christian Otto
Dynamics of Quantum Dot Lasers Book PDF

Author : Christian Otto
Publisher : Springer Science & Business Media
Page : 301 pages
File Size : 41,8 Mb
Release : 2014-01-21
Category : Science
ISBN : 9783319037868

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Dynamics of Quantum Dot Lasers by Christian Otto Pdf

This thesis deals with the dynamics of state-of-the-art nanophotonic semiconductor structures, providing essential information on fundamental aspects of nonlinear dynamical systems on the one hand, and technological applications in modern telecommunication on the other. Three different complex laser structures are considered in detail: (i) a quantum-dot-based semiconductor laser under optical injection from a master laser, (ii) a quantum-dot laser with optical feedback from an external resonator, and (iii) a passively mode-locked quantum-well semiconductor laser with saturable absorber under optical feedback from an external resonator. Using a broad spectrum of methods, both numerical and analytical, this work achieves new fundamental insights into the interplay of microscopically based nonlinear laser dynamics and optical perturbations by delayed feedback and injection.

Synchronization

Stefano Boccaletti,Alexander N. Pisarchik,Charo I. del Genio,Andreas Amann
Synchronization Book PDF

Author : Stefano Boccaletti,Alexander N. Pisarchik,Charo I. del Genio,Andreas Amann
Publisher : Cambridge University Press
Page : 267 pages
File Size : 43,6 Mb
Release : 2018-03-29
Category : Mathematics
ISBN : 9781107056268

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Synchronization by Stefano Boccaletti,Alexander N. Pisarchik,Charo I. del Genio,Andreas Amann Pdf

A modern introduction to synchronization phenomena, combining the development of deep mathematical concepts with illustrative examples and practical applications.

Surface Chaos and Its Applications

Shu Tang Liu,Li Zhang
Surface Chaos and Its Applications Book PDF

Author : Shu Tang Liu,Li Zhang
Publisher : Springer Nature
Page : 395 pages
File Size : 55,9 Mb
Release : 2022-03-03
Category : Technology & Engineering
ISBN : 9789811682292

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Surface Chaos and Its Applications by Shu Tang Liu,Li Zhang Pdf

This book addresses a special topic in the field of nonlinear dynamical systems, develops a new research direction of surface chaos and surface bifurcation. It provides a clear watershed for original nonlinear chaos and bifurcation research. The novel content of this book makes nonlinear system research more systematical and personalized. This book introduces the chaos and bifurcation behavior of surface dynamics in the sense of Li Yorke, the basic properties, Lyapunov exponent and Feigenbaum constant of nonlinear behavior of surface, and obtained the wave behavior of chaotic process in surface motion, the control of surface chaos and bifurcation, and the wide application of surface chaos in engineering technology. Through this book, readers can obtain more abundant and novel contents about surface chaos and surface bifurcation than the existing mixed fitting bifurcation of plane curve and space curve, which can also expand the realm and vision of research.

Dynamics of Nonlinear Time-Delay Systems

Muthusamy Lakshmanan,Dharmapuri Vijayan Senthilkumar
Dynamics of Nonlinear Time Delay Systems Book PDF

Author : Muthusamy Lakshmanan,Dharmapuri Vijayan Senthilkumar
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 44,5 Mb
Release : 2011-01-04
Category : Science
ISBN : 9783642149382

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Dynamics of Nonlinear Time-Delay Systems by Muthusamy Lakshmanan,Dharmapuri Vijayan Senthilkumar Pdf

Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example due to finite switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant. This monograph presents the basics of chaotic time-delay systems and their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics. Special attention is devoted to scalar chaotic/hyperchaotic time-delay systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions. Last but not least, the presentation as a whole strives for a balance between the necessary mathematical description of the basics and the detailed presentation of real-world applications.

Control of Self-Organizing Nonlinear Systems

Eckehard Schöll,Sabine H. L. Klapp,Philipp Hövel
Control of Self Organizing Nonlinear Systems Book PDF

Author : Eckehard Schöll,Sabine H. L. Klapp,Philipp Hövel
Publisher : Springer
Page : 475 pages
File Size : 50,9 Mb
Release : 2016-01-22
Category : Science
ISBN : 9783319280288

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Control of Self-Organizing Nonlinear Systems by Eckehard Schöll,Sabine H. L. Klapp,Philipp Hövel Pdf

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.

Philosophy of Complex Systems

Anonim
Philosophy of Complex Systems Book PDF

Author : Anonim
Publisher : Elsevier
Page : 952 pages
File Size : 45,5 Mb
Release : 2011-05-23
Category : Philosophy
ISBN : 0080931227

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Philosophy of Complex Systems by Anonim Pdf

The domain of nonlinear dynamical systems and its mathematical underpinnings has been developing exponentially for a century, the last 35 years seeing an outpouring of new ideas and applications and a concomitant confluence with ideas of complex systems and their applications from irreversible thermodynamics. A few examples are in meteorology, ecological dynamics, and social and economic dynamics. These new ideas have profound implications for our understanding and practice in domains involving complexity, predictability and determinism, equilibrium, control, planning, individuality, responsibility and so on. Our intention is to draw together in this volume, we believe for the first time, a comprehensive picture of the manifold philosophically interesting impacts of recent developments in understanding nonlinear systems and the unique aspects of their complexity. The book will focus specifically on the philosophical concepts, principles, judgments and problems distinctly raised by work in the domain of complex nonlinear dynamical systems, especially in recent years. -Comprehensive coverage of all main theories in the philosophy of Complex Systems -Clearly written expositions of fundamental ideas and concepts -Definitive discussions by leading researchers in the field -Summaries of leading-edge research in related fields are also included