scholarly journals Introduction to the discrete Fourier series considering both mathematical and engineering aspects - A linear-algebra approach

2015 ◽  
Vol 2 (1) ◽  
pp. 1064560
Author(s):  
Ludwig Kohaupt
Keyword(s):  
Fourier Series ◽  
Linear Algebra ◽  
Discrete Fourier Series ◽  
Algebra Approach

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

An easy linear algebra approach to the eigenvalues of the Bernoulli-Laplace model of diffusion

1995 ◽  
Vol 64 (2) ◽  
pp. 150-153 ◽  
Author(s):  
Holger W. Gollan ◽  
Wolfgang Lempken
Keyword(s):  
Linear Algebra ◽  
Algebra Approach
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