Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/74497
Title: Branching analysis of T-periodic solutions in nonlinear biochemical systems using reductive perturbation method
Authors: Babu, B.M.
Inamdar, S.R.
Karimi, I.A. 
Kulkarni, B.D.
Keywords: Bifurcation
Floquet
Hopf point
Period doubling
Perturbation method
T-periodic solution
Torus
Issue Date: 2004
Source: Babu, B.M.,Inamdar, S.R.,Karimi, I.A.,Kulkarni, B.D. (2004). Branching analysis of T-periodic solutions in nonlinear biochemical systems using reductive perturbation method. AIChE Annual Meeting, Conference Proceedings : 7791-7792. ScholarBank@NUS Repository.
Abstract: The application of reductive perturbation method (RPM) towards a detailed analysis of the occurences and bifurcations of various oscillatory patterns in general multi-equation system is discussed. RPM was used to construct a complete bifurcation diagram without resorting to any extensive numerical tracing or analysis. Optimization was used to give the connections between various branches in the parameter space subject to the constraints determined by bifurcation theory. It was found that by applying the Floquet theory and multiple time scales, RPM gives the perturbation equations that enable the determination of the parameter conditions and help in the analysis of bifurcation of T-periodic solutions.
Source Title: AIChE Annual Meeting, Conference Proceedings
URI: http://scholarbank.nus.edu.sg/handle/10635/74497
Appears in Collections:Staff Publications

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