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Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations

About this Title

Hans-Otto Walther

Publication: Memoirs of the American Mathematical Society
Publication Year: 1989; Volume 79, Number 402
ISBNs: 978-0-8218-2467-2 (print); 978-1-4704-0822-0 (online)
DOI: https://doi.org/10.1090/memo/0402
MathSciNet review: 979430
MSC: Primary 58F32; Secondary 34K15, 58F15, 58F22

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Table of Contents

Chapters

  • Introduction
  • Preliminaries
  • I. Hyperbolic periodic solutions
  • II. On hyperbolic fixed points
  • III. Poincaré maps and solutions close to $x_a$
  • IV. Heteroclinic connections between periodic orbits, homoclinic points of Poincaré maps, transversality
  • V. On chaotic behavior