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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
(
0 ) actually follow the unstable singular solution
(
= 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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