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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Oscillatory Integrals and Phenomena Beyond All Algebraic Orders: With Applications to Homoclinic Orbits in Reversible Systems

Oscillatory Integrals and Phenomena Beyond All Algebraic Orders: With Applications to Homoclinic Orbits in Reversible Systems

Lombardi, Eric

Paperback

Series: Lecture Notes in Mathematics, Book 1741

Medical ReferenceGeneral MathematicsPhysics

ISBN10: 3540677852
ISBN13: 9783540677857
Publisher: Springer Nature
Published: Aug 28 2000
Pages: 418
Weight: 1.34
Height: 0.89 Width: 6.14 Depth: 9.21
Language: English
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.

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