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

Hyberbolic periodic solutions, heteroclinic connections, and transversal homoclinic points in autonomous differential delay equations / Hans-Otto Walther.

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Bibliographic Details
Main Author: Walther, Hans-Otto (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 1989.
Series:Memoirs of the American Mathematical Society ; Volume 79, no. 402.
Subjects:
Delay differential equations.
Chaotic behavior in systems.
Chaotic behavior in systems
Delay differential equations
Online Access:Click for online access
Table of Contents:
  • Contents
  • Introduction
  • Preliminaries
  • Chapter I: Hyperbolic periodic solutions
  • 1. Periodic solutions
  • 2. Linearization
  • 3. Translation by variational equations along periodic solutions
  • 4. Eigenvalues as zeros of analytic functions
  • 5. Zeros of q[sub(a)]
  • 6. Hyperbolicity
  • 7. Comparison results
  • Chapter II: On hyperbolic fixed points
  • 1. Local invariant manifolds
  • 2. Proof of Proposition 1.1
  • Chapter III: Poincare' maps and solutions close to x[sub(a)]
  • 1. Poincare'maps

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