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Figure 4 | EURASIP Journal on Bioinformatics and Systems Biology

Figure 4

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

Figure 4

Schematic change of the real parts of the two eigenvalues of an originally stable fixed point . (a) has two negative real eigenvalues (compare also Figure 2). At , they coalesce to a pair of complex conjugate eigenvalues whose real part increases with Ï„. The system undergoes a Hopf bifurcation and the fixed point becomes unstable when this real part crosses the -axis at . For large time delays, the two eigenvalues are real from and approach the values 0 and . (b) Similar course, , has a pair of complex conjugate eigenvalues.

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