資料來源:
Syndetics
Oscillatory integrals and phenomena beyond all algebraic orders : with applications to homoclinic orbits in reversible systems / Eric Lombardi
- 作者： Lombardi, Eric.
- 其他作者：
- 其他題名：
- Springer e-books
- With applications to homoclinic orbits in reversible systems
- 出版： New York : Springer c2000
- 叢書名： Lecture notes in mathematics ,1741
- 主題： Bifurcation theory. , Differential equations, Nonlinear--Numerical solutions. , Differentiable dynamical systems.
- ISBN： 9783540677857 (paper)
- URL：
電子書
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讀者標籤：
- 系統號： 005167701 | 機讀編目格式
館藏資訊
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.