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Titlebook: Nonlinear Wave Dynamics; Complexity and Simpl Jüri Engelbrecht Book 1997 Springer Science+Business Media Dordrecht 1997 Mathematica.continu

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发表于 2025-3-21 19:24:21 | 显示全部楼层 |阅读模式
书目名称Nonlinear Wave Dynamics
副标题Complexity and Simpl
编辑Jüri Engelbrecht
视频video
丛书名称Texts in the Mathematical Sciences
图书封面Titlebook: Nonlinear Wave Dynamics; Complexity and Simpl Jüri Engelbrecht Book 1997 Springer Science+Business Media Dordrecht 1997 Mathematica.continu
描述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 c
出版日期Book 1997
关键词Mathematica; continuum mechanics; dynamics; mechanics; modeling; nonlinear wave; soliton; partial different
版次1
doihttps://doi.org/10.1007/978-94-015-8891-1
isbn_softcover978-90-481-4833-2
isbn_ebook978-94-015-8891-1Series ISSN 0927-4529
issn_series 0927-4529
copyrightSpringer Science+Business Media Dordrecht 1997
The information of publication is updating

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发表于 2025-3-21 20:43:32 | 显示全部楼层
Selected case studies,recht, 1991; Engelbrecht and Peipman, 1992). Here we present their ideas in order to demonstrate a phenomenological approach for modelling complicated processes based on analogies and asymptotics for deriving evolution equations.
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Book 1997 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-thi
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Essays: what is all that about,s arise immediately like why this secondary notion is needed, is the primary still basic or has the secondary overshadowing the primary and has it now taken the first (basic) place in our understandings.
发表于 2025-3-22 19:54:15 | 显示全部楼层
0927-4529 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 c978-90-481-4833-2978-94-015-8891-1Series ISSN 0927-4529
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