| Abstract: |
| Morse-Smale transversality plays a crucial role in the description of the global attractors of a class of scalar parabolic partial differential equation on the circle. The crucial component necessary to prove transversality is a nodal property that this class of PDEs share with the technically completely unrelated family of scalar delay equations with monotone feedback. In the talk I will explore the way in which the nodal property can be used in order to prove Morse-Smale transversality for delay equations and I will present the array of possibilities that this unlocks for the study of global dynamics. |
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