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Institute for Mathematics and Its Applications

Talk abstract:

Delay of bifurcation phenomena and their analysis

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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