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The $2$-dimensional attractor of $x’(t)=-𝜇x(t)+f(x(t-1))$
About this Title
Hans-Otto Walther
Publication: Memoirs of the American Mathematical Society
Publication Year:
1995; Volume 113, Number 544
ISBNs: 978-0-8218-2602-7 (print); 978-1-4704-0123-8 (online)
DOI: https://doi.org/10.1090/memo/0544
MathSciNet review: 1230775
MSC: Primary 58F32; Secondary 34K15, 39B12, 58F12
Table of Contents
Chapters
- 1. Introduction
- 2. Notation, preliminaries
- 3. Basic properties of solutions
- 4. Attractors
- 5. Phase space decomposition
- 6. A-priori estimates, phase curves with trivial $\alpha$-limit set, and invariant manifolds
- 7. Graph representation
- 8. Transversals
- 9. Angles along projected phase curves
- 10. The Poincaré-Bendixson Theorem
- 11. Proof of Theorem 7.1(ii)