Display Abstract

Title The structure of unstable sets for delayed monotone feedback

Name Tibor Krisztin
Country Hungary
Email krisztin@math.u-szeged.hu
Co-Author(s) Gabriella Vas
Submit Time 2014-03-31 18:00:53
Session
Special Session 5: Differential delay equations
Contents
We consider the delay differential equation $\dot x8t)= f(x(t), x(t-1))$ with a monotone feedback condition on the smooth $f:\mathbb{R}^2 \to \mathbb{R}$. It is shown that certain stable and unstable manifolds of periodic orbits and stationary points intersect transversally. This plays a key role in the description of the geometric structure of the global attractor.