Degenerate Routes to Chaos

Phys. Rev. E 48, R4156 (1993)https://ireap.umd.edu/10.1103/PhysRevE.48.R41561993Journal ArticleComplex and Emergent Systems

We present examples of simple dynamical systems containing alternative routes to chaos which are degenerate with a period-doubling route. The existence of degenerate routes implies the possibility of having more entangled dynamical behaviors hidden in observations based on a single-variable time series, possibly requiring, therefore, special care to discriminate them. A model system allowing the investigation of transitions between degenerate routes is also considered.