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Bifurcation analysis of complex bursting induced by two different time-scale slow variables

Pages: 1440 - 1447, Issue Special, September 2011

 Abstract        Full Text (800.8K)              

Zhuoqin Yang - School of Mathematics and System Sciences, Beihang University, Beijing 100191, China (email)
Tingting Guan - School of Mathematics and System Sciences and LMIB, Beihang University, Beijing, 100191, China (email)

Abstract: In Wierschem and Bertram model describing bursting modulated by slow glycolytic oscillation, different complex bursting patterns are produced by interaction of two slow variables with different time scales. Generation mechanisms of the complex bursting patterns with one or multiple short bursts and a long burst, are investigated by an extended fast/slow analysis, when a faster slow variable is considered as a bifurcation parameter of fast subsystem, while a slower slow variable only has an effect on bifurcation curves of the fast subsystem.

Keywords:  Complex bursting, different time scales, Fast/slow dynamic analysis
Mathematics Subject Classification:  Primary: 37G15, 74H60; Secondary: 92B20

Received: July 2010;      Revised: April 2011;      Published: October 2011.