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EURASIP Journal on Bioinformatics and Systems Biology
Figure 1 | EURASIP Journal on Bioinformatics and Systems Biology

Figure 1

From: The Impact of Time Delays on the Robustness of Biological Oscillators and the Effect of Bifurcations on the Inverse Problem

Figure 1

Nullclines of an activator inhibitor oscillator model. If the system has a single fixed point which is unstable, there exists a stable limit cycle around according to the Poincaré-Bendixson theorem. A necessary condition for to be unstable is the location between the minimum and the maximum of nullcline 1, which corresponds to the positivity of the element in the Jacobian matrix .

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