Lecture Notes in Mathematics

Oscillatory Integrals and Phenomena Beyond all Algebraic Orders

with Applications to Homoclinic Orbits in Reversible Systems

Authors: Lombardi, Eric

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About this book

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.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $74.99
price for USA in USD
  • ISBN 978-3-540-44971-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA in USD
  • ISBN 978-3-540-67785-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Oscillatory Integrals and Phenomena Beyond all Algebraic Orders
Book Subtitle
with Applications to Homoclinic Orbits in Reversible Systems
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1741
Copyright
2000
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-44971-3
DOI
10.1007/BFb0104102
Softcover ISBN
978-3-540-67785-7
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVIII, 418
Topics