It has been observed that the system shows a period doubling route to chaos.
The system exhibits a period doubling route and a quasiperiodic route to chaos in different regions of excitation frequency.
A period doubling route to chaos is observed in certain frequency ranges, which is explained by a harmonic balance analysis.
The transitions to chaos can occur either via a period-doubling route or via a process involving intermittency.
At constant gas flow, bubble-formation exhibited a classic period-doubling route to chaos with increasing potential.
Feigenbaum's analysis provides"universal" scaling laws and statistics which characterize turbulent motions" arising via the period-doubling route.
As can be seen from the figures, the FOIM system shows routine period doubling route to chaos and shows chaotic oscillations for (q ge 0.975).
Important features of classical chaos, such as SDIC and the period doubling route to chaos, appear to be absent from quantum systems.
Using mass-transfer coupling with identical reactors, chaos occurs by the period doubling route as the strength of the coupling is increased.
Considering an external perturbation, many authors have investigated chaos through different routes, such as, period doubling route [36] to chaos, quasiperiodic route [37] to chaos, crisis route [38] to chaos and intermittency route [39] to chaos.
