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Titlebook: Ordinary Differential Equations and Mechanical Systems; Jan Awrejcewicz Book 2014 Springer International Publishing Switzerland 2014 Hamil

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发表于 2025-3-21 18:42:44 | 显示全部楼层 |阅读模式
书目名称Ordinary Differential Equations and Mechanical Systems
编辑Jan Awrejcewicz
视频video
概述Contains a diverse selection of chapters, ranging from the first and the second order ODEs to bifurcation to modeling.Richly illustrates each chapter with a number of examples that don‘t depend on a p
图书封面Titlebook: Ordinary Differential Equations and Mechanical Systems;  Jan Awrejcewicz Book 2014 Springer International Publishing Switzerland 2014 Hamil
描述.This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomial form, theory and criteria of similarity, modeling approaches, phase plane and phase space concepts, stability optimization and ending on chaos and synchronization..Presenting both an overview of the theory of the introductory differential equations in the context of applicability and a systematic treatment of modeling of numerous engineering and physical problems through linear and non-linear ODEs, the volume is self-contained, yet serves both scientific and engineering interests. The presentation relies on a general treatment, analytical and numerical methods, concrete examples and engineering intuition..The scientific background used is well balanced between elementary and advanced level, making it as a unique self-contained source for both theoretically and application oriented graduate and doctoral students, university teachers, researchers and engineers of mechanical, civil and m
出版日期Book 2014
关键词Hamiltonian systems; Jacobi-Levi-Civita equation; Krylov method; Legendre equation; Peano and Cauchy-Pic
版次1
doihttps://doi.org/10.1007/978-3-319-07659-1
isbn_softcover978-3-319-35289-3
isbn_ebook978-3-319-07659-1
copyrightSpringer International Publishing Switzerland 2014
The information of publication is updating

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h chapter with a number of examples that don‘t depend on a p.This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and
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Theory and Criteria of Similarity,one could carry out measurements in labs by means of modern apparatus. The obtained results should be reliable, i.e. there should exist the possibility of either direct or indirect transition to the real object.
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Second-Order ODEs,and they have a direct physical meaning. In addition, there exist some direct methods to deal with the second-order differential equations without their reduction to a set of first-order equations [59, 130, 160, 242].
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Jan Awrejcewiczd model. There are at least two reasons for this. First, it is only the newborn, that is individuals of age zero, that are susceptible to this mode of disease transmission. Consequently, the newborn must be taken into account in some way that distinguishes them from the rest of the population. Secon
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Jan Awrejcewiczlow and would supply the requirements of the fish for only a few minutes, so oxygen uptake from the environment is approximately equal to oxygen utilization. The swim bladder, however, can act as an oxygen store (as well as a float, sound guide and sound generating organ), the oxygen in the bladder
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