| 書目名稱 | Hamiltonian and Lagrangian Flows on Center Manifolds |
| 副標題 | with Applications to |
| 編輯 | Alexander Mielke |
| 視頻video | http://file.papertrans.cn/421/420642/420642.mp4 |
| 叢書名稱 | Lecture Notes in Mathematics |
| 圖書封面 |  |
| 描述 | The theory of center manifold reduction is studied in thismonograph in the context of (infinite-dimensional) Hamil-tonian and Lagrangian systems. The aim is to establish a"natural reduction method" for Lagrangian systems totheircenter manifolds. Nonautonomous problems are considered aswell assystems invariant under the action of a Lie group (including the case of relative equilibria).The theory is applied to elliptic variational problemsoncylindrical domains. As a result, all bounded solutionsbifurcatingfrom a trivial state can be described by areduced finite-dimensional variational problem of Lagrangiantype. This provides a rigorousjustification of rod theoryfrom fully nonlinear three-dimensionalelasticity.The book will be of interest to researchers working inclassical mechanics, dynamical systems, elliptic variationalproblems, and continuum mechanics. It begins with theelements of Hamiltonian theory and center manifold reductionin order to make the methods accessible to non-specialists,from graduatestudent level. |
| 出版日期 | Book 1991 |
| 關(guān)鍵詞 | Bifurcation; Center Manifold; Hamiltonian and Langrangian Systems; Lie group; Nonlinear Elasticity; Varia |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0097544 |
| isbn_softcover | 978-3-540-54710-5 |
| isbn_ebook | 978-3-540-46441-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1991 |
|Archiver|手機版|小黑屋|
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