| 书目名称 | Oscillatory Integrals and Phenomena Beyond all Algebraic Orders |
| 副标题 | with Applications to |
| 编辑 | Eric Lombardi |
| 视频video | |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | During the last two decades, in several branches of science (water waves, crystal growth, travelling waves in one dimensional lattices, splitting of separatrices,...) different problems appeared in which the key point is the computation of exponentially small terms. This self-contained monograph gives new and rigorous mathematical tools which enable a systematic study of such problems. Starting with elementary illuminating examples, the book contains (i) new asymptotical tools for obtaining exponentially small equivalents of oscillatory integrals involving solutions of nonlinear differential equations; (ii) implementation of these tools for solving old open problems of bifurcation theory such as existence of homoclinic connections near resonances in reversible systems. |
| 出版日期 | Book 2000 |
| 关键词 | Eigenvalue; Oscillatory integrals; differential equation; exponential equivalents; homoclinic connection |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0104102 |
| isbn_softcover | 978-3-540-67785-7 |
| isbn_ebook | 978-3-540-44971-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2000 |
发表于 2025-3-21 16:33:52
