|
|||||
|
|
Global dynamics of delay differential equations |
|
| Authors: | Tibor Krisztin |
| Affiliation: | (1) Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, H-6720 Szeged, Hungary |
| Abstract: | In this survey paper the delay differential equation  (t) = −μx(t) + g(x(t − 1)) is considered with μ ≥ 0 and a smooth real function g satisfying g(0) = 0. It is shown that the dynamics generated by this simple-looking equation can be very rich. The dynamics is completely understood only for a small class of nonlinearities. Open problems are formulated. Supported in part by the Hungarian NFSR, Grant No. T049516. |
| Keywords: | delay differential equation global attractor feedback condition discrete Lyapunov functional unstable set periodic orbit heteroclinic orbit Morse decomposition |
| 本文献已被 SpringerLink 等数据库收录！ | |