Sentence examples for limit cycle change from inspiring English sources

The same class can be obtained in different ways, by changing the location of the points A and B. To explore the effects of the location of the path on the shape of the timeseries, we investigated how the amplitude and frequency of the stable limit cycle change across the unfolding.

In Scenario 3 (see Figure 6 and Video S3 with Video Legends S1), the phase flows (linear point attractors and limit cycle) change only at critical moments during the functional process due to the slow change of σ(t).

The corresponding limit cycle changes δγ are variations in the infinite-dimensional vector obtained by concatenating the periodic time series of each clock component.

A pulse stimulation displaces the trajectory away from the limit cycle, producing a change both in the phase θ and the transversal variable σ, that we will refer to as the amplitude variable.

It has been observed in this study that in addition to the linear stability characteristic the nonlinear stability behaviour (depicted by the position of generalized Hopf points and occurrences of limit cycles) also changes significantly as the axial heat flux changes from uniform to non-uniform even though the total heat rate provided remains same.

Theoretical analyses and numerical simulations show that the peak amplitudes may be strongly reduced at large detuning or large nonlinear stiffness, and when intensity of the random disorder increase, the steady-state solution may change from a limit cycle to a diffused limit cycle, and even change to a chaos one.

Theoretical analyses and numerical simulations show that when the intensity of the random excitation increases, the non-trivial steady state solution may change from a limit cycle to a diffused limit cycle.

Theoretical analyses and numerical calculations show that when the intensity of random excitation increases, the steady-state solution may change from a limit cycle to a diffused limit cycle.

The cause of the limit cycle is analysed and the abrupt change in target orientations at two consecutive reaction instants is then identified to be the condition for shifting the target from the real location to the virtual one.

It is found that when the random noise intensity increases, the steady state solution may change form a limit cycle to a diffused limit cycle, and the system may have two different stable steady state solutions for the same excitation under certain conditions.

In addition, the control approach is demonstrated to be able to track and prevent the onset of new limit cycle thermoacoustic oscillations resulting from the changes of fuel flow rate.