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Synchronization and Waves in Active Media

Synchronization and Waves in Active Media PDF Author: Jan Frederik Totz
Publisher: Springer
ISBN: 3030110575
Category : Science
Languages : en
Pages : 164

Book Description
The interplay between synchronization and spatio-temporal pattern formation is central for a broad variety of phenomena in nature, such as the coordinated contraction of heart tissue, associative memory and learning in neural networks, and pathological synchronization during Parkinson disease or epilepsy. In this thesis, three open puzzles of fundametal research in Nonlinear Dynamics are tackled: How does spatial confinement affect the dynamics of three-dimensional vortex rings? What role do permutation symmetries play in the spreading of excitation waves on networks? Does the spiral wave chimera state really exist? All investigations combine a theoretical approach and experimental verification, which exploit an oscillatory chemical reaction. A novel experimental setup is developed that allows for studying networks with N > 1000 neuromorphic relaxation oscillators. It facilitates the free choice of network topology, coupling function as well as its strength, range and time delay, which can even be chosen as time-dependent. These experimental capabilities open the door to a broad range of future experimental inquiries into pattern formation and synchronization on large networks, which were previously out of reach.

Synchronization and Waves in Active Media

Synchronization and Waves in Active Media PDF Author: Jan Frederik Totz
Publisher: Springer
ISBN: 3030110575
Category : Science
Languages : en
Pages : 164

Book Description
The interplay between synchronization and spatio-temporal pattern formation is central for a broad variety of phenomena in nature, such as the coordinated contraction of heart tissue, associative memory and learning in neural networks, and pathological synchronization during Parkinson disease or epilepsy. In this thesis, three open puzzles of fundametal research in Nonlinear Dynamics are tackled: How does spatial confinement affect the dynamics of three-dimensional vortex rings? What role do permutation symmetries play in the spreading of excitation waves on networks? Does the spiral wave chimera state really exist? All investigations combine a theoretical approach and experimental verification, which exploit an oscillatory chemical reaction. A novel experimental setup is developed that allows for studying networks with N > 1000 neuromorphic relaxation oscillators. It facilitates the free choice of network topology, coupling function as well as its strength, range and time delay, which can even be chosen as time-dependent. These experimental capabilities open the door to a broad range of future experimental inquiries into pattern formation and synchronization on large networks, which were previously out of reach.

Synchronization and Waves in Confined Complex Active Media

Synchronization and Waves in Confined Complex Active Media PDF Author: Jan Frederik Totz
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Book Description


Nonlinear Waves in Active Media

Nonlinear Waves in Active Media PDF Author: Jüri Engelbrecht
Publisher: Springer Science & Business Media
ISBN: 3642747892
Category : Science
Languages : en
Pages : 284

Book Description
TIlis volume contains the contributions to the Euromech Colloquium No. 241 on Nonlinear Waves in Active Media at the Institute of Cybernetics of the Estonian Academy of Sciences, Tallinn, Estonia, USSR, September 27-30, 1988. The Co-chairmen of the Euromech Colloquium felt that it would be a good service to the community to publish these proceedings. First, the topic itself dealing with various wave processes with energy influx is extremely interesting and attracted a much larger number of participants than usual - a clear sign of its importance to the scientific community. Second, Euromech No. 241 was actually the first Euromech Colloquium held in the Soviet Union and could thus be viewed as a milestone in the extending scientific contacts between East and West. At the colloquium 50 researchers working in very different branches of sci ence met to lecture on their results and to discuss problems of common interest. An introductory paper by I. Engelbrecht presents the common motivation and background of the topics covered. Altogether 36 speakers presented their lectures, of which 30 are gathered here. The remaining six papers which will appear elsewhere are listed on page X. In addition, three contributions by authors who could not attend the colloquium are included. The two lectures given by A.S. Mikhailov, V.S. Davydov and V.S. Zykov are here published as one long paper.

Self-Organization

Self-Organization PDF Author: V.I. Krinsky
Publisher: Springer Science & Business Media
ISBN: 3642702104
Category : Science
Languages : en
Pages : 271

Book Description
According to its definition, Synergetics is concerned with systems that produce macroscopic spatial, temporal, or functional structures. Autowaves are·a specific, yet very important, case of spatio-temporal structures. The term "autowave" was coined in the Soviet Union in analogy to the term "auto-oscillator". This is - perhaps too literal - translation of the Russian word "avto-ostsillyatory" (= self oscillator) which in its proper translation means "self-sustained oscillator". These are oscillators, e. g. , clocks, whose internal energy dissipation is compensa ted by a (more or less) continuous power input. Simi larly, the term "autowaves" de notes propagation effects - including waves - in active media, which provide spa tially distributed energy sources and thus may compensate dissipation. An example which is now famous is represented by spiral or concentric waves in a chemically active medium, undergoing the Belousov-Zhabotinsky reaction. This book provides the reader with numerous further examples from physics, chem istry, and biology - e. g. , autowaves of the heart. While the Belousov-Zhabotinsky reaction is now widely known, a number of very important results obtained in the Soviet Union are perhaps less well known. I am particularly glad that this book may help to make readers outside the Soviet Union acquainted with these important exper imental and theoretical findings which are presented in a way which elucidates the common principles underlying this kind of propagation effects. Professor V.

Chimera States in Complex Networks

Chimera States in Complex Networks PDF Author: Eckehard Schöll
Publisher: Frontiers Media SA
ISBN: 288963311X
Category :
Languages : en
Pages : 148

Book Description


Wavelet Analysis And Active Media Technology (In 3 Volumes) - Proceedings Of The 6th International Progress

Wavelet Analysis And Active Media Technology (In 3 Volumes) - Proceedings Of The 6th International Progress PDF Author: Stephane Jaffard
Publisher: World Scientific
ISBN: 981447973X
Category : Computers
Languages : en
Pages : 1680

Book Description
Wavelet analysis and its applications have been one of the fastest growing research areas in the past several years. Wavelet theory has been employed in numerous fields and applications, such as signal and image processing, communication systems, biomedical imaging, radar, air acoustics, and many other areas. Active media technology is concerned with the development of autonomous computational or physical entities capable of perceiving, reasoning, adapting, learning, cooperating, and delegating in a dynamic environment.This book captures the essence of the current state of the art in wavelet analysis and active media technology. It includes nine invited papers by distinguished researchers: P Zhang, T D Bui and C Y Suen from Concordia University, Canada; N A Strelkov and V L Dol'nikov from Yaroslavl State University, Russia; Chin-Chen Chang and Ching-Yun Chang from Taiwan; S S Pandey from R D University, India; and I L Bloshanskii from Moscow State Regional University, Russia.The proceedings have been selected for coverage in:

Wavelet Analysis and Its Applications, and Active Media Technology 2004

Wavelet Analysis and Its Applications, and Active Media Technology 2004 PDF Author: Jian-Ping Li
Publisher: World Scientific
ISBN: 9789812388742
Category : Computers
Languages : en
Pages : 582

Book Description
Wavelet analysis and its applications have been one of the fastest-growing research areas in the past several years. Wavelet theory has been employed in numerous fields and applications, such as signal and image processing, communication systems, biomedical imaging, radar, and air acoustics. Active media technology is concerned with the development of autonomous computational or physical entities capable of perceiving, reasoning, adapting, learning, cooperating, and delegating in a dynamic environment.This book captures the essence of the state of the art in wavelet analysis and its applications and active media technology. At the Congress, invited talks were delivered by distinguished researchers, namely Prof John Daugman of Cambridge University, UK; Prof Bruno Torresani of INRIA, France; Prof Victor Wickerhauser of Washington University, USA, Prof Ning Zhong of the Maebashi Institute of Technology, Japan; Prof John Yen of Pennsylvania State University, USA; and Prof Sankar K Pal of the Indian Statistical Institute, India.

Optical Wave Propagation in Active Media

Optical Wave Propagation in Active Media PDF Author: Habib B. Taouk
Publisher:
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 284

Book Description


Cellular Neural Networks, Multi-scroll Chaos And Synchronization

Cellular Neural Networks, Multi-scroll Chaos And Synchronization PDF Author: Johan A K Suykens
Publisher: World Scientific
ISBN: 9814480959
Category : Science
Languages : en
Pages : 247

Book Description
For engineering applications that are based on nonlinear phenomena, novel information processing systems require new methodologies and design principles. This perspective is the basis of the three cornerstones of this book: cellular neural networks, chaos and synchronization. Cellular neural networks and their universal machine implementations offer a well-established platform for processing spatial-temporal patterns and wave computing. Multi-scroll circuits are generalizations to the original Chua's circuit, leading to chip implementable circuits with increasingly complex attractors. Several applications make use of synchronization techniques for nonlinear systems. A systematic overview is given for Lur'e representable systems with global synchronization criteria for master-slave and mutual synchronization, robust synchronization, H∞ synchronization, time-delayed systems and impulsive synchronization.

Experimental Chaos - Proceedings Of The 3rd Conference

Experimental Chaos - Proceedings Of The 3rd Conference PDF Author: Robert G Harrison
Publisher: World Scientific
ISBN: 981454776X
Category :
Languages : en
Pages : 342

Book Description
This volume, the third in our unique series on experimental chaos, brings together from a broad range of disciplines, some of the exciting developments of the last two years concerned with the observations, measurements and applications of nonlinear dynamical behaviour. Included are chaos, spatio-temporal chaos and patterns, control of chaos, time series analysis and characterization, pattern recognitions and signal processing. The subjects covered include optics, fluids, condensed matter, astrophysics, biological, chemical and medical sciences, engineering, metreorology and oceanography.