Figure 4From: The Impact of Time Delays on the Robustness of Biological Oscillators and the Effect of Bifurcations on the Inverse ProblemSchematic 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.Back to article page