Oscillatory Integrals and Phenomena Beyond all Algebraic Orders : With Applications to Homoclinic Orbits in Reversible Systems
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 giv...
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|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serija: | Lecture notes in mathematics
1741 |
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| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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| Edition sous un autre format: | • Oscillatory integrals and phenomena beyond all algebraic orders, with applications to homoclinic orbits in reversible systems, Eric Lombardi, 2000, Berlin, Springer, 1 vol. (XV-412 p.), Lecture notes in mathematics, 3-540-67785-2 • Oscillatory Integrals and Phenomena Beyond all Algebraic Orders, Texte imprimé, 9783662202586 |
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| 100 | 1 | |a Lombardi, Eric, |d 1968-...., |c mathématicien. | |
| 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 [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1741 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a "Exponential tools" for evaluating oscillatory integrals -- Resonances of reversible vector fields -- Analytic description of periodic orbits bifurcating from a pair of simple purely imaginary eigenvalues -- Constructive floquet theory for periodic matrices near a constant one -- Inversion of affine equations around reversible homoclinic connections -- The 02+i? resonance -- The 02+i? resonance in infinite dimensions. Application to water waves -- The (i?0)2i?1 resonance. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 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 | |a Théorie de la bifurcation | ||
| 650 | |a Équations différentielles non linéaires | ||
| 650 | |a Systèmes dynamiques | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse mathématique | ||
| 776 | 0 | |0 069119775 |t Oscillatory integrals and phenomena beyond all algebraic orders |o with applications to homoclinic orbits in reversible systems |f Eric Lombardi |d 2000 |c Berlin |n Springer |p 1 vol. (XV-412 p.) |s Lecture notes in mathematics |z 3-540-67785-2 | |
| 776 | 0 | |t Oscillatory Integrals and Phenomena Beyond all Algebraic Orders |b Texte imprimé |z 9783662202586 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0104102 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-MR7HPX0N-H |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747822042 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0104102 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750838825 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0104102 |z Accès INSA CVL | |
| 997 | |0 943802 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||