Predicting the onset of period-doubling bifurcations via dominant eigenvalue extracted from autocorrelation

Key Points

• The dominant eigenvalue serves as a key predictor for the onset of period-doubling bifurcations, enabling better forecasting.
• With a clear correlation established, the method can enhance understanding of dynamic systems and their behaviors.
• Analysis of autocorrelation in temporal data was pivotal in deriving valuable insights regarding bifurcation onset.
• This approach may enable timely measures in dynamic systems, highlighting the potential for practical applications.