A Few Animations (Using MATLAB):
vdp3D1.mp4, vdp3D2.mp4, vdp3D.mp4, vdpPwS.mp4: Behavior of the Van der Pol oscillator. The system is written:
dY/dt = [y2 ; μ(1-y12) y2-y1]
for μ varying from 0 to 2.5.
(1) [t,(y1,y2)], (2) [y1,y2], (3) [t,y1,y2], (4) Spectra.
The last movie above shows the Power Spectrum of the variables: y1 and y2 for the previous van der Pol oscillator where μ varies from 0 to 2.5. (16')
vdp3DL.mp4: Behavior of Van der Pol oscillator:
dY/dt = [y2 ; μ(1-y12) y2-y1]
for μ = -0.8,....,2.4. (22')
CHsignals.mp4: Cohen class Time-Frequency Distribution of a signal that consists of (1) two slighly different Gabor atoms whose internal frequencies progressively increase, (2) a Dirac, (3) a sinusoid, (4) a noise that increases at each sequence repetition.(23').