| Abstract: |
| It is well-known that time-lags or histories sometimes play a essential role in the phenomena and thus many mathematical model with delay-effects are studied mathematically and numerically. It is also well-known that the delay-effects cause an instability or an oscillatory.
In this talk we consider the effects of time-delay for such instabilities from the viewpoint of a finite time blow-up of the solutions and show delay-induced blow-up phenomena for a very simple oscillation model with a constant delay. We also show the emergence of infinity many unstable periodic solutions, while the non-delay system has only one limit cycle.
Finaly we show some numerical examples and give our observations. |
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