Shift of bifurcation point due to noise induced parameter.

Banerjee, Sandip; Bhattacharya, Rakhi; Chakrabarti, C.G.

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This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02– 359/2008. We consider a nonlinear model of a continuously stirred bioreactor and study the stability of the equilibrium points with respect to practically important model parameters. We determine regions in the parameter space where the steady states undergo transcritical and Hopf bifurcations. In the latter case, the stability of the emerged limit cycles is also studied. Numerical simulations...

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Bifurcations in a modulation equation for alternans in a cardiac fiber

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While alternans in a single cardiac cell appears through a simple period-doubling bifurcation, in extended tissue the exact nature of the bifurcation is unclear. In particular, the phase of alternans can exhibit wave-like spatial dependence, either stationary or travelling, which is known as alternans. We study these phenomena in simple cardiac models through a modulation equation proposed by Echebarria-Karma. As shown in our previous paper, the zero solution of their equation may...