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Titlebook: Geometrical Methods in the Theory of Ordinary Differential Equations; V. I. Arnold Book 1988Latest edition Springer Science+Business Media

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發(fā)表于 2025-3-21 19:54:05 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Geometrical Methods in the Theory of Ordinary Differential Equations
編輯V. I. Arnold
視頻videohttp://file.papertrans.cn/384/383659/383659.mp4
叢書名稱Grundlehren der mathematischen Wissenschaften
圖書封面Titlebook: Geometrical Methods in the Theory of Ordinary Differential Equations;  V. I. Arnold Book 1988Latest edition Springer Science+Business Media
描述Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, aswell as all users of the theory of differential equations.
出版日期Book 1988Latest edition
關(guān)鍵詞Mathematica; bifurcation; differential equation; hamiltonian system; ordinary differential equation; part
版次2
doihttps://doi.org/10.1007/978-1-4612-1037-5
isbn_softcover978-1-4612-6994-6
isbn_ebook978-1-4612-1037-5Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer Science+Business Media New York 1988
The information of publication is updating

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0072-7830 progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hov
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Book 1988Latest editionhas been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theo
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Geologic Soul: An Ethic of Underworld Forceat the result is very sensitive to the smallest change in the model. In such a case, an arbitrarily small change in the model (say, a small change of the vector field defining a differential equation) leads to another model with essentially different properties. A result like this cannot be transfer
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