Reducing spatial data using an optimized regressive discrete Fourier series

2008 ◽  
Vol 309 (3-5) ◽  
pp. 858-867 ◽  
Author(s):  
Joris Vanherzeele ◽  
Steve Vanlanduit ◽  
Patrick Guillaume
Keyword(s):  
Fourier Series ◽  
Spatial Data ◽  
Discrete Fourier Series

Period Motions and Stability in a Nonlinear Spring Pendulum

2018 ◽  
Author(s):  
Albert C. J. Luo ◽  
Yaoguang Yuan
Keyword(s):  
Fourier Series ◽  
Excitation Frequency ◽  
Analytic Method ◽  
Analytical Prediction ◽  
Discrete Fourier Series ◽  
Periodic Motions ◽  
Harmonic Frequency ◽  
Pendulum System ◽  
Nonlinear Spring ◽  
The Stability

In this paper, period-1 motions varying with excitation frequency in a periodically forced, nonlinear spring pendulum system are predicted by a semi-analytic method. The harmonic frequency-amplitude for periodical motions are analyzed from the finite discrete Fourier series. The stability of the periodical solutions are shown on the bifurcation trees as well. From the analytical prediction, numerical illustrations of periodic motions are given, the comparison of numerical solution and analytical solution are given.

Data reduction using a generalized regressive discrete Fourier series

2006 ◽  
Vol 298 (1-2) ◽  
pp. 1-11 ◽  
Author(s):  
J. Vanherzeele ◽  
P. Guillaume ◽  
S. Vanlanduit ◽  
P. Verboven
Keyword(s):  
Fourier Series ◽  
Data Reduction ◽  
Discrete Fourier Series
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