American Institute of Mathematical Sciences

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2011, 2011(Special): 1440-1447. doi: 10.3934/proc.2011.2011.1440

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

Zhuoqin Yang 1, and  Tingting Guan 2,

1. 

School of Mathematics and System Sciences, Beihang University, Beijing 100191
2. 

School of Mathematics and System Sciences and LMIB, Beihang University, Beijing, 100191, China

Received  July 2010 Revised  April 2011 Published  October 2011

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: Fast/slow dynamic analysis, Complex bursting, different time scales.
Mathematics Subject Classification: Primary: 37G15, 74H60; Secondary: 92B20.
Citation: Zhuoqin Yang, Tingting Guan. Bifurcation analysis of complex bursting induced by two different time-scale slow variables. Conference Publications, 2011, 2011 (Special) : 1440-1447. doi: 10.3934/proc.2011.2011.1440
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