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Titlebook: Dissipative Solitons in Reaction Diffusion Systems; Mechanisms, Dynamics Andreas W. Liehr Book 2013 Springer-Verlag Berlin Heidelberg 2013

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书目名称Dissipative Solitons in Reaction Diffusion Systems
副标题Mechanisms, Dynamics
编辑Andreas W. Liehr
视频video
概述Most comprehensive book on localized solutions in reaction diffusion systems.Covers all the related theoretical aspects in a closed concept.Provides a reference to researchers and a text to graduate s
丛书名称Springer Series in Synergetics
图书封面Titlebook: Dissipative Solitons in Reaction Diffusion Systems; Mechanisms, Dynamics Andreas W. Liehr Book 2013 Springer-Verlag Berlin Heidelberg 2013
描述.Why writing a book about a specialized task of the large topic of complex systems? And who will read it? The answer is simple: The fascination for a didactically valuable point of view, the elegance of a closed concept and the lack of a comprehensive disquisition..The fascinating part is that field equations can have localized solutions exhibiting the typical characteristics of particles. Regarding the field equations this book focuses on, the field phenomenon of localized solutions can be described in the context of a particle formalism, which leads to a set of ordinary differential equations covering the time evolution of the position and the velocity of each particle. Moreover, starting from these particle dynamics and making the transition to many body systems, one considers typical phenomena of many body systems as shock waves and phase transitions, which themselves can be described as field phenomena. Such transitions between different level of modelling are well known from conservative systems, where localized solutions of quantum field theory lead to the mechanisms of elementary particle interaction and from this to field equations describing the properties of matter. Howe
出版日期Book 2013
关键词Bifurcation theory; Order parameter equations; Reduced dynamics; Self-organization; Structure formation
版次1
doihttps://doi.org/10.1007/978-3-642-31251-9
isbn_softcover978-3-642-42984-2
isbn_ebook978-3-642-31251-9Series ISSN 0172-7389 Series E-ISSN 2198-333X
issn_series 0172-7389
copyrightSpringer-Verlag Berlin Heidelberg 2013
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Cooperation and the Weighing of Interestsas-discharge system. These systems exhibit dissipative solitons in the form of self-organized localized concentration spots and current density filaments, respectively. The chapter discusses the experiments and concentrates on the phenomena being directly related to the particle-like characteristics
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https://doi.org/10.1007/978-3-030-16279-5minimal requirement for structure formation? Therefore the considerations start with discussing the dynamics resulting from a cubic non-linearity which leads to the concept of bifurcations and bistability. Taking spatial coupling into account one finds periodic structures and stationary fronts. Exte
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Cooperatives in Economic Literature—context the central concept of critical modes is introduced and discussed on basis of single dissipative solitons and their basic bound states. These considerations lead to analytic expression for the drift- and rotational velocities of the structures in the vicinity of the bifurcation point. In par
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Geert Bouckaert,B. Guy Peters,Koen Verhoestnalysis. This approach results into a reduction of the field dynamics to the position and excitation of the respective propagator mode where the interaction between dissipative solitons can be regarded approximately as classical central force. Starting from the reduced dynamics, scattering and the f
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