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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Bibliografske podrobnosti
Glavni avtor: Lombardi, Eric, 1968-...., mathématicien
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serija:Lecture notes in mathematics 1741
Teme:
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Sporočilo: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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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
Kazalo:
  • "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.