Extraction, through filter‐diagonalization, of general quantum eigenvalues or classical normal mode frequencies from a small number of residues or a short‐time segment of a signal. I. Theory and application to a quantum‐dynamics model

1995 ◽  
Vol 102 (20) ◽  
pp. 8011-8022 ◽  
Author(s):  
Michael R. Wall ◽  
Daniel Neuhauser
Keyword(s):  
Normal Mode ◽  
Quantum Dynamics ◽  
Dynamics Model ◽  
Time Segment ◽  
Filter Diagonalization ◽  
General Quantum ◽  
Short Time

scholarly journals Optimal Perturbations of an Oceanic Vortex Lens

Fluids ◽  
2018 ◽  
Vol 3 (3) ◽  
pp. 63 ◽  
Author(s):  
Thomas Meunier ◽  
Claire Ménesguen ◽  
Xavier Carton ◽  
Sylvie Le Gentil ◽  
Richard Schopp
Keyword(s):  
Normal Mode ◽  
Growth Rates ◽  
Time Interval ◽  
Time Intervals ◽  
Horizontal Structure ◽  
Azimuthal Wave ◽  
Wave Numbers ◽  
Non Linear ◽  
Long Time ◽  
Short Time

The stability properties of a vortex lens are studied in the quasi geostrophic (QG) framework using the generalized stability theory. Optimal perturbations are obtained using a tangent linear QG model and its adjoint. Their fine-scale spatial structures are studied in details. Growth rates of optimal perturbations are shown to be extremely sensitive to the time interval of optimization: The most unstable perturbations are found for time intervals of about 3 days, while the growth rates continuously decrease towards the most unstable normal mode, which is reached after about 170 days. The horizontal structure of the optimal perturbations consists of an intense counter-shear spiralling. It is also extremely sensitive to time interval: for short time intervals, the optimal perturbations are made of a broad spectrum of high azimuthal wave numbers. As the time interval increases, only low azimuthal wave numbers are found. The vertical structures of optimal perturbations exhibit strong layering associated with high vertical wave numbers whatever the time interval. However, the latter parameter plays an important role in the width of the vertical spectrum of the perturbation: short time interval perturbations have a narrow vertical spectrum while long time interval perturbations show a broad range of vertical scales. Optimal perturbations were set as initial perturbations of the vortex lens in a fully non linear QG model. It appears that for short time intervals, the perturbations decay after an initial transient growth, while for longer time intervals, the optimal perturbation keeps on growing, quickly leading to a non-linear regime or exciting lower azimuthal modes, consistent with normal mode instability. Very long time intervals simply behave like the most unstable normal mode. The possible impact of optimal perturbations on layering is also discussed.

Short Time Segment Price Forecasts Using Spline Fit Interactions

2006 ◽  
pp. 111-115
Author(s):  
Ke Xu ◽  
Jun Chen ◽  
Jian Yao ◽  
Zhaoyang Zhao ◽  
Tao Yu ◽  
...  
Keyword(s):  
Time Segment ◽  
Short Time

scholarly journals Quantum Dynamics with Short-Time Trajectories and Minimal Adaptive Basis Sets

2017 ◽  
Vol 13 (7) ◽  
pp. 3085-3096 ◽  
Author(s):  
Maximilian A. C. Saller ◽  
Scott Habershon
Keyword(s):  
Quantum Dynamics ◽  
Basis Sets ◽  
Short Time

Adaptive Servo Control Based on LQR for Flexible Master-Slave System

2011 ◽  
Vol 130-134 ◽  
pp. 2433-2437
Author(s):  
Bai Long Jia ◽  
Ying Liu ◽  
Yukinori Kobayashi
Keyword(s):  
Vibration Suppression ◽  
Servo Control ◽  
Slave System ◽  
Dynamics Model ◽  
Servo Controller ◽  
The Stability ◽  
Short Time ◽  
Short Time Delay ◽  
Input Torque ◽  
Master Slave System

In this study, an adaptive servo controller based on LQR is designed for flexible master-slave system (FMSS). A dynamics model, observer and servo controller based on LQR is built respectively. According to the parameter sensitive experiments, adaptive servo controller based on LQR is designed. This research focuses on the performance of rapid response and vibration suppression. Experimental results indicate that adaptive servo controller, which suppresses the saturation of the input torque to ensure the stability, has achieved short time delay and adequate vibration suppression.

scholarly journals Quantifying spatial correlations of general quantum dynamics

2015 ◽  
Vol 17 (6) ◽  
pp. 062001 ◽  
Author(s):  
Ángel Rivas ◽  
Markus Müller
Keyword(s):  
Quantum Dynamics ◽  
Spatial Correlations ◽  
General Quantum
Sign in / Sign up

Export Citation Format

Share Document