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Talk Abstract
Delay of bifurcation phenomena and their analysis

Institute for Mathematics and Its Applications
Jiangzhong Su, Univ. of Texas at Arlington

The phenomena of delay of bifurcation occur in some fast-slow problems (or simply slow passage problems) where a parameter is slowly changing resulting in changes of static stability. The solutions of the equation ($\varepsilon$   $\neq$   0 ) actually follow the unstable singular solution ($\varepsilon$    =    0 )until some integral conditions are satisfied. We consider several interesting cases including the FitzHugh-Nagumo Equation, FHN model with periodic forcing and particularly a system with one simple eigenvalue which slowly passes zero.

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