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Titlebook: Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles; Maoan Han,Pei Yu Book 2012 Springer-Verlag London Limited 2012 Hamilton

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發(fā)表于 2025-3-21 19:21:29 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles
編輯Maoan Han,Pei Yu
視頻videohttp://file.papertrans.cn/669/668027/668027.mp4
概述Intertwines classic topics with new results to provide extensive coverage of the area.An ample amount of worked out examples and user-friendly algorithms are supplied for both theory and application.I
叢書(shū)名稱Applied Mathematical Sciences
圖書(shū)封面Titlebook: Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles; Maoan Han,Pei Yu Book 2012 Springer-Verlag London Limited 2012 Hamilton
描述.Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopf bifurcation from a center or a focus? is integral to the theory of bifurcation of limit cycles, for which normal form theory is a central tool. Although Hopf bifurcation has been studied for more than half a century, and normal form theory for over 100 years, efficient computation in this area is still a challenge with implications for Hilbert’s 16th problem..This book introduces the most recent developments in this field and provides major advances in fundamental theory of limit cycles. Split into two parts, the first focuses on? the study of limit cycles bifurcating from Hopf singularity using normal form theory with later application to Hilbert’s 16th problem, while the second considers near Hamiltonian systems using Melnikov function as the main mathematical tool. .Classic topics with new results are presented in a clear and concise manner and are accompanied by the liberal use of illustrations throughout. Containing a wealth of examples and structured algo
出版日期Book 2012
關(guān)鍵詞Hamiltonian systems; Hilbert’s 16th problem; Melnikov function; dynamical system theory; normal form; the
版次1
doihttps://doi.org/10.1007/978-1-4471-2918-9
isbn_softcover978-1-4471-5830-1
isbn_ebook978-1-4471-2918-9Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer-Verlag London Limited 2012
The information of publication is updating

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發(fā)表于 2025-3-21 21:49:40 | 只看該作者
,Application (I)—Hilbert’s 16th Problem,roblem. Attention is given to general cubic order and higher order systems are considered to find the maximal number of limit cycles possible for such systems i.e., to find the lower bound of the Hilbert number for certain vector fields. The Liénard system is also investigated and critical periods o
板凳
發(fā)表于 2025-3-22 01:49:03 | 只看該作者
Finding More Limit Cycles Using Melnikov Functions,nic loops. A generalized theorem is presented. In particular, two polynomial systems are studied. By using the theorems and results obtained in Chaps.?.–9 it is shown that one system can have seven limit cycles while the other can have five limit cycles.
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Maoan Han,Pei Yue morphological approach of . (1963) to provide a conscious framework (as opposed to intuition) of all steps in the design process. Parameters of essential qualities and quantities, and parameter steps of possible solutions for the requisite parameters, are identified so that the stages of identific
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發(fā)表于 2025-3-23 03:11:52 | 只看該作者
Maoan Han,Pei Yu in industry in order to get a deeper understanding of the interdependencies in design practice influencing design productivity. The overall aim of this project is to outline a model of group design processes as a basis for further development of systematic design with special emphasis on teamwork..
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發(fā)表于 2025-3-23 06:12:13 | 只看該作者
Maoan Han,Pei Yu in industry in order to get a deeper understanding of the interdependencies in design practice influencing design productivity. The overall aim of this project is to outline a model of group design processes as a basis for further development of systematic design with special emphasis on teamwork..
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