Effects of propagation delay in coupled oscillators under direct–indirect coupling: Theory and experiment

2021 ◽  
Vol 31 (7) ◽  
pp. 073115
Author(s):  
Nirmalendu Hui ◽  
Debabrata Biswas ◽  
Tanmoy Banerjee ◽  
Jürgen Kurths
Keyword(s):  
Coupled Oscillators ◽  
Propagation Delay ◽  
Coupling Theory ◽  
Indirect Coupling ◽  
Theory And Experiment

Effects of local oscillator frequency on intersegmental coordination in the lamprey locomotor CPG: theory and experiment

1996 ◽  
Vol 76 (6) ◽  
pp. 4094-4103 ◽  
Author(s):  
K. A. Sigvardt ◽  
T. L. Williams
Keyword(s):  
Coupled Oscillators ◽  
Intact Animal ◽  
Local Oscillator ◽  
Ventral Root ◽  
Phase Lag ◽  
Intersegmental Coordination ◽  
Glutamate Concentration ◽  
Phase Lags ◽  
Theory And Experiment

1. Experiments have been performed on in vitro preparations of lamprey spinal cord bathed in D-glutamate, which induces a pattern of activity recorded from ventral roots that is similar to that seen in the intact animal during swimming. The frequency of fictive swimming increases with increasing D-glutamate concentration, but intersegmental phase lag remains unaffected. 2. The effects on intersegmental phase lags of unequal activation of the rostral and caudal halves of a preparation were determined. Unequal activation was produced by placing a diffusion barrier in the middle of the chamber and perfusing the two halves with different concentrations of D-glutamate. 3. Within the rostral compartment, the phase lag increased from control when the rostral D-glutamate concentration was higher than the caudal concentration, and decreased from control when it was lower. By contrast, the phase lags within the caudal compartment did not depend on the ratio of D-glutamate concentration between the two compartments. 4. The frequency of the ventral root activity during differential activation was not significantly different from that of control experiments that had the same concentration as in the rostral compartment. 5. The results are discussed within the context of the mathematical analysis of chains of coupled oscillators by Kopell and Ermentrout and other current theories about the mechanisms of intersegmental coordination in the lamprey.

Noise limitations of Brillouin two-beam coupling: theory and experiment

1992 ◽  
Vol 9 (3) ◽  
pp. 391 ◽  
Author(s):  
Shmuel Sternklar ◽  
Yaakov Glick ◽  
Steven Jackel
Keyword(s):  
Coupling Theory ◽  
Beam Coupling ◽  
Theory And Experiment

Scaling Behavior of Laser Population Dynamics with Time-Delayed Coupling: Theory and Experiment

2005 ◽  
Vol 94 (8) ◽  
Author(s):  
Min-Young Kim ◽  
Rajarshi Roy ◽  
Joan L. Aron ◽  
Thomas W. Carr ◽  
Ira B. Schwartz
Keyword(s):  
Population Dynamics ◽  
Scaling Behavior ◽  
Coupling Theory ◽  
Delayed Coupling ◽  
Theory And Experiment

scholarly journals Collective motion patterns of swarms with delay coupling: Theory and experiment

2016 ◽  
Vol 93 (3) ◽  
Author(s):  
Klementyna Szwaykowska ◽  
Ira B. Schwartz ◽  
Luis Mier-y-Teran Romero ◽  
Christoffer R. Heckman ◽  
Dan Mox ◽  
...  
Keyword(s):  
Collective Motion ◽  
Coupling Theory ◽  
Motion Patterns ◽  
Theory And Experiment

Karhunen-Loeve Decomposition for Reducing the Order and Monitoring the Dynamics of Coupled Oscillators

2001 ◽  
Author(s):  
Xianghong Ma ◽  
Alexander F. Vakakis ◽  
Lawrence A. Bergman
Keyword(s):  
Coupled Oscillators ◽  
Large Scale ◽  
Order Reduction ◽  
Mode Shapes ◽  
Flexible Systems ◽  
Higher Order Modes ◽  
Orthogonality Relations ◽  
Series Of Experiments ◽  
Theory And Experiment ◽  
Low Order

Abstract Karhunen-Loeve - KL modes are used to discretize the dynamics of a four-bay linear truss. This is achieved by defining global KL modal amplitudes and employing the orthogonality relations between KL modes that are inherent in the KL decomposition. It is found that the KL-based low-order models can capture satisfactory the transient dynamics of the truss, even when only a limited number of them is used for the order reduction. A comparison between the exact and low-order dynamics in the frequency domain reveals that the low-order models capture the leading resonances of the truss. A series of experiments with a practical three-bay truss is then performed to validate the theoretical KL decomposition. A comparison between theory and experiment indicates agreement between the predicted and realized dominant KL mode shapes, but less so in the higher order modes. The reasons for this discrepancy between theory and experiment are discussed, and possible applications of the KL-based order reduction to passive and active control of practical large-scale flexible systems are outlined.

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