Fig. 8
Absence of chaotic behavior in the SAC-SPOC model across parameter space. (A) Lyapunov exponents remain consistently below the chaos threshold (0.005, red dashed line) across a wide range of APCT/Tem1T ratios and crosstalk values. (B) Time series for three representative parameter sets (Original, Extreme Values, and Maximum Asymmetry) all exhibit regular dynamics without chaotic signatures. (C) Phase space portrait of MCCT vs KinA for the original parameter set demonstrating a stable limit cycle. (D) Power spectrum analysis showing discrete frequency peaks characteristic of regular (non-chaotic) dynamics for all parameter sets. (E) Bifurcation diagram with increasing crosstalk strength reveals limited period-doubling but no route to chaos. (F) Correlation dimension values remain well below 2.0 across parameter space, further confirming the absence of chaotic attractors. Parameters were varied across extensive ranges: APCT/Tem1T (0.01-0.4 \(\mu M\)), Mad2T/Bub2T (0.02-0.6 \(\mu M\)), ka (0.0035-0.112 \(\mu M^{-1}s^{-1}\)), kcat (0.003-0.1 \(s^{-1}\)), and crosstalk (0.1-200).
