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Oscillatory Integrals and Phenomena Beyond all Algebraic Orders - with Applications to Homoclinic Orbits in Reversible Systems (Paperback, 2000 ed.)
Loot Price: R1,745
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Oscillatory Integrals and Phenomena Beyond all Algebraic Orders - with Applications to Homoclinic Orbits in Reversible Systems (Paperback, 2000 ed.)
Series: Lecture Notes in Mathematics, 1741
Expected to ship within 10 - 15 working days
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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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