Oscillatory integrals and phenomena beyond all algebraic orders : with applications to homoclinic orbits in reversible systems /
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| Author / Creator: | Lombardi, Eric, 1968- |
|---|---|
| Imprint: | Berlin ; New York : Springer, ©2000. |
| Description: | 1 online resource (xv, 412 pages) : illustrations. |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1741 Lecture notes in mathematics (Springer-Verlag) ; 1741. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11065879 |
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| 100 | 1 | |a Lombardi, Eric, |d 1968- |0 http://id.loc.gov/authorities/names/n00013773 |1 http://viaf.org/viaf/233206253 | |
| 245 | 1 | 0 | |a Oscillatory integrals and phenomena beyond all algebraic orders : |b with applications to homoclinic orbits in reversible systems / |c Eric Lombardi. |
| 260 | |a Berlin ; |a New York : |b Springer, |c ©2000. | ||
| 300 | |a 1 online resource (xv, 412 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a computer |b c |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/c | ||
| 338 | |a online resource |b cr |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/cr | ||
| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1741 | |
| 504 | |a Includes bibliographical references (pages 405-410) and index. | ||
| 505 | 0 | |a pt. I. Toolbox for oscillatory integrals -- pt. II. Toolbox for reversible studied near resonances -- pt. III. Applications to homoclinic orbits near resonances in reversible systems. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Bifurcation theory. |0 http://id.loc.gov/authorities/subjects/sh85013940 | |
| 650 | 0 | |a Differential equations, Nonlinear |x Numerical solutions. |0 http://id.loc.gov/authorities/subjects/sh85037908 | |
| 650 | 0 | |a Differentiable dynamical systems. |0 http://id.loc.gov/authorities/subjects/sh85037882 | |
| 650 | 7 | |a Bifurcation theory. |2 fast |0 (OCoLC)fst00831564 | |
| 650 | 7 | |a Differentiable dynamical systems. |2 fast |0 (OCoLC)fst00893426 | |
| 650 | 7 | |a Differential equations, Nonlinear |x Numerical solutions. |2 fast |0 (OCoLC)fst00893478 | |
| 650 | 1 | 7 | |a Bifurcatie. |2 gtt |
| 650 | 7 | |a Equacoes diferenciais ordinarias. |2 larpcal | |
| 650 | 7 | |a Sistemas dinamicos. |2 larpcal | |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Lombardi, Eric, 1968- |t Oscillatory integrals and phenomena beyond all algebraic orders. |d Berlin ; New York : Springer, ©2000 |z 3540677852 |w (DLC) 00058354 |w (OCoLC)44550604 |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1741. | |
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