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Nonlinear Stokes Phenomena
Edited by: Yu. S. Il'yashenko
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Advances in Soviet Mathematics
1993; 287 pp; hardcover
Volume: 14
ISBN-10: 0-8218-4112-2
ISBN-13: 978-0-8218-4112-9
List Price: US$141
Member Price: US$112.80
Order Code: ADVSOV/14
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The nonlinear Stokes phenomenon occurs in the local theory of differential equations (or, more concisely, local dynamics) and finds application in singularity theory. This book contains a number of papers on this subject, including a survey that begins with Stokes' pioneering works on linear theory and discusses the work of Voronin.

Readership

Research mathematicians.

Table of Contents

  • Yu. S. Il'yashenko -- Nonlinear Stokes phenomena
  • P. M. Elizarov, Yu. S. Il'yashenko, A. A. Shcherbakov, and S. M. Voronin -- Finitely generated groups of germs of one-dimensional conformal mappings, and invariants for complex singular points of analytic foliations of the complex plane
  • P. M. Elizarov -- Tangents to moduli maps
  • S. M. Voronin -- The Darboux-Whitney theorem and related questions
  • Yu. S. Il'yashenko and S. Yu. Yakovenko -- Nonlinear Stokes phenomena in smooth classification problems
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