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Titlebook: Nonlinear Dynamics and Chaotic Phenomena: An Introduction; Bhimsen K. Shivamoggi Book 2014Latest edition Springer Science+Business Media D

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發(fā)表于 2025-3-21 19:31:10 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Nonlinear Dynamics and Chaotic Phenomena: An Introduction
編輯Bhimsen K. Shivamoggi
視頻videohttp://file.papertrans.cn/668/667421/667421.mp4
概述Second edition of a book that has stood its ground and proved its worth over the years.Strong middle ground between elementary undergraduate texts on the one hand and advance level monographs on the o
叢書名稱Fluid Mechanics and Its Applications
圖書封面Titlebook: Nonlinear Dynamics and Chaotic Phenomena: An Introduction;  Bhimsen K. Shivamoggi Book 2014Latest edition Springer Science+Business Media D
描述.This book starts with a discussion of nonlinear ordinary differential equations, bifurcation theory and Hamiltonian dynamics. It then embarks on a systematic discussion of the traditional topics of modern nonlinear dynamics ?-- integrable systems, Poincaré maps, chaos, fractals and strange attractors. The Baker’s transformation, the logistic map and Lorenz system are discussed in detail in view of their central place in the subject. There is a detailed discussion of solitons centered around the Korteweg-deVries equation in view of its central place in integrable systems. Then, there is a discussion of the Painlevé property of nonlinear differential equations which seems to provide a test of integrability. Finally, there is a detailed discussion of the application of fractals and multi-fractals to fully-developed turbulence -- a problem whose understanding has been considerably enriched by the application of the concepts and methods of modern nonlinear dynamics. On the application side, there is a special emphasis on some aspects of fluid dynamics and plasma physics reflecting the author’s involvement in these areas of physics. A few exercises have been provided that range from sim
出版日期Book 2014Latest edition
關(guān)鍵詞chaos; nonlinear dynamics
版次2
doihttps://doi.org/10.1007/978-94-007-7094-2
isbn_softcover978-94-017-7711-7
isbn_ebook978-94-007-7094-2Series ISSN 0926-5112 Series E-ISSN 2215-0056
issn_series 0926-5112
copyrightSpringer Science+Business Media Dordrecht 2014
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:35:10 | 只看該作者
Nonlinear Ordinary Differential Equations,ects (namely, ellipse). However, there is a class of problems like the fluid turbulence which involves growth of objects of irregular shape (fractals and multi-fractals, see Chaps.?. and?.) and cannot be studied via smooth solutions of DE’s.
板凳
發(fā)表于 2025-3-22 00:51:26 | 只看該作者
Integrable Systems,the phase space. A dynamical system is said to be ., if left to itself for long enough, it will pass in an erratic manner close to nearly all the dynamical states compatible with conservation of energy.
地板
發(fā)表于 2025-3-22 05:05:09 | 只看該作者
Book 2014Latest editionstematic discussion of the traditional topics of modern nonlinear dynamics ?-- integrable systems, Poincaré maps, chaos, fractals and strange attractors. The Baker’s transformation, the logistic map and Lorenz system are discussed in detail in view of their central place in the subject. There is a d
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發(fā)表于 2025-3-22 09:13:22 | 只看該作者
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發(fā)表于 2025-3-22 13:13:30 | 只看該作者
Chaos in Conservative Systems,aotic and regular orbits intricately interspersed among each other (Helleman in Fundamental Problems in Statistical Mechanics, vol.?5, North-Holland, ..) Chaotic motion appears via homoclinic intersections of unstable manifolds, and chaotic orbits fill sets which have a fractal character (see Chap.?.).
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發(fā)表于 2025-3-22 20:45:56 | 只看該作者
0926-5112 ation side, there is a special emphasis on some aspects of fluid dynamics and plasma physics reflecting the author’s involvement in these areas of physics. A few exercises have been provided that range from sim978-94-017-7711-7978-94-007-7094-2Series ISSN 0926-5112 Series E-ISSN 2215-0056
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發(fā)表于 2025-3-23 00:43:18 | 只看該作者
Bhimsen K. Shivamoggisden; the Palaeontologic Institute and Museum of Humboldt University, Berlin (East Germany); the Institute for Geology and Palaeontology of Martin-Luther-Universit?t, Halle-Wittenberg, Domstra?e 5, East Germany; the British Museum (Natural History), London.
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發(fā)表于 2025-3-23 04:44:08 | 只看該作者
Bhimsen K. Shivamoggisden; the Palaeontologic Institute and Museum of Humboldt University, Berlin (East Germany); the Institute for Geology and Palaeontology of Martin-Luther-Universit?t, Halle-Wittenberg, Domstra?e 5, East Germany; the British Museum (Natural History), London.
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發(fā)表于 2025-3-23 07:03:01 | 只看該作者
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