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Nonlinear Waves In Active Media


Nonlinear Waves In Active Media
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Nonlinear Waves In Active Media


Nonlinear Waves In Active Media
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Author : Jüri Engelbrecht
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Waves In Active Media written by Jüri Engelbrecht and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


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.



Nonlinear Waves In Active Media


Nonlinear Waves In Active Media
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Author : Jüri Engelbrecht
language : en
Publisher:
Release Date : 1983

Nonlinear Waves In Active Media written by Jüri Engelbrecht and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Nonlinear waves categories.




Nonlinear Wave Processes In Excitable Media


Nonlinear Wave Processes In Excitable Media
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Author : Arunn V. Holden
language : en
Publisher: Springer
Release Date : 2013-12-21

Nonlinear Wave Processes In Excitable Media written by Arunn V. Holden and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-21 with Science categories.


Proceedings of a NATO ARW held in Leeds, UK, September 11-15, 1989



Synchronization And Waves In Active Media


Synchronization And Waves In Active Media
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Author : Jan Frederik Totz
language : en
Publisher: Springer
Release Date : 2019-01-18

Synchronization And Waves In Active Media written by Jan Frederik Totz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-18 with Science categories.


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.



Nonlinear Waves 3


Nonlinear Waves 3
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Author : Andrei V. Gaponov-Grekhov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Waves 3 written by Andrei V. Gaponov-Grekhov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


Since 1972 the Schools on Nonlinear Physics in Gorky have been a meeting place for Soviet Scientists working in this field. Since 1989 the proceedings appear in English. They present a good cross section of nonlinear physics in the USSR. This third volume emerged from material presented at the 1989 School. It contains sections dealing with nonlinear problems in physics and astrophysics, quantum and solid state physics, dynamical chaos and self-organization.



Nonlinear Wave Dynamics


Nonlinear Wave Dynamics
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Author : J. Engelbrecht
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Nonlinear Wave Dynamics written by J. Engelbrecht and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Technology & Engineering categories.


At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc.



Spiral Symmetry


Spiral Symmetry
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Author : Istv n Hargittai
language : en
Publisher: World Scientific
Release Date : 1992

Spiral Symmetry written by Istv n Hargittai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.


A collection of essays explores the aesthetic, graphic, literary, scientific, mathematical, and computer-related aspects of the spiral in nature and in the man-made world.



An Introduction To Asymmetric Solitary Waves


An Introduction To Asymmetric Solitary Waves
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Author : Jüri Engelbrecht
language : en
Publisher: Longman Scientific and Technical
Release Date : 1991

An Introduction To Asymmetric Solitary Waves written by Jüri Engelbrecht and has been published by Longman Scientific and Technical this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.


The main aim of this book is to cover the fundamentals of asymmetric solitary waves. The preliminary part contains the ordered classification of solitary waves and the derivation of evolution equations. As a basis, nonlinear conservative systems are decribed with special attention given to the formation of solitary (mainly symmetric) waves from initial data. The main part of the book describes wave motion with certain energy influx leading to asymmetric solitary waves. Two cases are treated separately - systems perturbed by energy influx and systems with essential energy influx.



Electromagnetic Phenomena In Matter


Electromagnetic Phenomena In Matter
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Author : Igor N. Toptygin
language : en
Publisher: John Wiley & Sons
Release Date : 2015-02-09

Electromagnetic Phenomena In Matter written by Igor N. Toptygin and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-09 with Science categories.


Modern electrodynamics in different media is a wide branch of electrodynamics which combines the exact theory of electromagnetic fields in the presence of electric charges and currents with statistical description of these fields in gases, plasmas, liquids and solids; dielectrics, conductors and superconductors. It is widely used in physics and in other natural sciences (such as astrophysics and geophysics, biophysics, ecology and evolution of terrestrial climate), and in various technological applications (radio electronics, technology of artificial materials, laser-based technological processes, propagation of bunches of charges particles, linear and nonlinear electromagnetic waves, etc.). Electrodynamics of matter is based on the exact fundamental (microscopic) electrodynamics but is supplemented with specific descriptions of electromagnetic fields in various media using the methods of statistical physics, quantum mechanics, physics of condensed matter (including theory of superconductivity), physical kinetics and plasma physics. This book presents in one unique volume a systematic description of the main electrodynamic phenomena in matter: - A large variety of theoretical approaches used in describing various media - Numerous important manifestations of electrodynamics in matter (magnetic materials, superconductivity, magnetic hydrodynamics, holography, radiation in crystals, solitons, etc.) - A description of the applications used in different branches of physics and many other fields of natural sciences - Describes the whole complexity of electrodynamics in matter including material at different levels. - Oriented towards 3-4 year bachelors, masters, and PhD students, as well as lectures, and engineers and scientists working in the field. - The reader will need a basic knowledge of general physics, higher mathematics, classical mechanics and microscopic (fundamental) electrodynamics at the standard university level - All examples and problems are described in detail in the text to help the reader learn how to solve problems - Advanced problems are marked with one asterisk, and the most advanced ones with two asterisks. Some problems are recommended to be solved first, and are are marked by filled dots; they are more general and important or contain results used in other problems.



Optical Solitons In Fibers


Optical Solitons In Fibers
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Author : Akira Hasegawa
language : en
Publisher: Springer
Release Date : 2006-04-11

Optical Solitons In Fibers written by Akira Hasegawa and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Science categories.


Latest developments associated with two currently active and very important theoretical and practical topics in nonlinear optics, namely solitons and fibers, are considered in this volume. Solitons as analytical solutions of nonlinear partial differential equations were established in 1967, and only five years later Hasegawa and Tappert predicted for the first time theoretically that solitons could be generated in a dielectric fiber. In practical terms, this work, pursued mainly at the AT&T Bell Laboratories, points to technological advances allowing for an economic and undistorted propagation of signals which will revolutionize telecommunications. Starting from an elementary level readily accessible to undergraduates, the author, a pioneer in the field, provides a clear and up-to-date exposition of both the theoretical background and the most recent experimental results in this new and rapidly evolving field. This well-written book is well suited for undergraduate or graduate lecture courses, and makes easy reading not only for the researcher but also for the interested physicist, mathematician, and engineer.