Sentence examples for double cascade from inspiring English sources
Necessary and sufficient conditions of consensus problem for double cascade integrator system are known well.
Top of the list should be the twin attractions of Gullfoss, a double cascade that thunders down a narrow ravine, and Geysir, the original hot-water spout after which all others are named.
Yosemite's sights are so iconic – the shining sheer face of El Capitan, the dramatically cleft Half Dome, the thundering double cascade of Yosemite Falls – that suddenly finding yourself among them is like stumbling uninvited into the middle of the Last Supper.
Three scenarios of transitions between chaotic and regular motion are observed: period doubling cascade, type 3 intermittency and boundary crisis.
Previous work shows evidence for FDC in Liley's mesoscopic model of the electroencephalogram, which is related to an inverse period doubling cascade [1].
In the latter case, the transition to bursting involves a period doubling cascade to chaos, a feature shared by other models as well [15, 16].
As the parameter is decreased further toward the bursting zone, the model enters a period-doubling cascade leading to chaos [20, 43].
However, no period doubling cascade emerges due to change of the type of period two fixed points and occurrence of Hopf bifurcation associated with period two fixed points.
When monitoring the system parameters, some striking phenomena are found including period doubling cascade bifurcation, reverse bifurcations, merging crises, offset boosting, coexisting bifurcations and hysteresis.
Generation of FDC has also been associated with an inverse period doubling cascade in our previous work, and it could be possible that similar mechanisms control FDC for high (p_{ee}) values.
Furthermore, it is suggested that there are at least two different routes to chaos depending on the ratio of the forcing frequency is considerably higher than the structural natural frequency, the suggested route to chaos is via a period doubling cascade.
