Amplitude modulation control of escape from a potential well

2014 ◽  
Vol 378 (16-17) ◽  
pp. 1104-1112 ◽  
Author(s):  
R. Chacón ◽  
A. Martínez García-Hoz ◽  
J.J. Miralles ◽  
P.J. Martínez
Keyword(s):  
Amplitude Modulation ◽  
Potential Well ◽  
Modulation Control

Multiple-S-Shaped Critical Manifold and Jump Phenomena in Low Frequency Forced Vibration with Amplitude Modulation

2019 ◽  
Vol 29 (05) ◽  
pp. 1930012 ◽  
Author(s):  
Yue Yu ◽  
Qianqian Wang ◽  
Qinsheng Bi ◽  
C. W. Lim
Keyword(s):  
Amplitude Modulation ◽  
Large Amplitude ◽  
Low Frequency ◽  
Slow Variable ◽  
Critical Manifold ◽  
Singular Orbit ◽  
Modulation Control ◽  
Cycle Oscillation ◽  
Tuning Frequency ◽  
Complex Mechanical Systems

Motivated by the forced harmonic vibration of complex mechanical systems, we analyze the dynamics involving different waves in a double-well potential oscillator coupling amplitude modulation control of low frequency. The combination of amplitude modulation factor significantly enriches the dynamical behaviors on the formation of multiple-S-shaped manifold and multiple jumping phenomena that alternate between epochs of slow and fast motion. We can conduct bifurcation analysis to identify two harmonic vibrations. One is that the singular orbit makes multiple jumps to a fast trajectory segment from one attracting equilibrium to another as the expression of slow variable by using the DeMoivre formula. With the increase of tuning frequency, the system exhibits relaxation-type oscillations whose small amplitude oscillations are produced by nonlinear local cycles together with a distinct large amplitude cycle oscillation accounting for the Melnikov threshold values. The tuning frequency may not only affect the asymptotic expressions for the solution curves near fold singularities but also allow for the large amplitude orbit vibrations near fold-cycle singularities. Numerical analysis for computing critical manifolds and their intersections is used to detect the dynamical features in this paper.

Closed-loop amplitude modulation control of reacting premixed turbulent jet

AIAA Journal ◽  
1991 ◽  
Vol 29 (12) ◽  
pp. 2155-2162 ◽  
Author(s):  
E. Gutmark ◽  
T. P. Parr ◽  
D. M. Hanson-Parr ◽  
K. C. Schadow
Keyword(s):  
Amplitude Modulation ◽  
Closed Loop ◽  
Turbulent Jet ◽  
Loop Amplitude ◽  
Modulation Control

Amplitude modulation control method for bursting dynamics under time-delayed feedback

2021 ◽  
pp. 107754632110359
Author(s):  
Yue Yu ◽  
Ning Wang ◽  
Zhenyu Chen
Keyword(s):  
Amplitude Modulation ◽  
Control Method ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Multiple Time ◽  
Technical Requirements ◽  
Dynamical Behaviors ◽  
Stable Periodic ◽  
Modulation Control ◽  
Time Delayed Feedback

Time-delayed feedback control is one of the important active control methods for complex dynamical behaviors in nonlinear systems. Yet its relationship and effectiveness on multiple time scale dynamics need to be further explored. As a purpose to gain insight into such complexity, we investigate the effectiveness of amplitude modulation in controlling (suppressing or enhancing) bursting oscillations in a classical mechanical oscillator with time-delayed feedback. It is shown how the presence of delay can change the amplitude of the singular cycle oscillations, or suppress them altogether. The results are compared to the conventional periodic perturbation method. In many cases, the amplitudes of periodic solutions under delayed feedback are easier to satisfy the technical requirements. If the delayed feedback is added, stable periodic bursting can be easily accomplished. Therefore, we demonstrate that an effective vibration modulation for bursting dynamics is possible if appropriate time delay and feedback gains are chosen.

GIANT RESONANCES IN A POTENTIAL WELL : A SEMICLASSICAL DESCRIPTION

1987 ◽  
Vol 48 (C2) ◽  
pp. C2-19-C2-26
Author(s):  
X. VIÑAS ◽  
A. GUIRAO
Keyword(s):  
Potential Well ◽  
Giant Resonances
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