Some Examples of MATLAB mfiles:
PIM01M02
Some Words About:  

Heading n°  Subject  Documents, or Matlab mfiles.  Page  Fig 
§1.8 §1.9 §1.9.2 
Bifurcations. In the text hereafter the bifurcations concern singularities with codimension greater than 1.  Cusp and Generalized Hopf bifurcations  39  
Matlab reminders: Matrix powers and exponentials, Eigenvalues, Singular Value Decomposition, Vector and Matrix Norms (mfile):  MatlabMathematicsReminders.m (Reminders that can be skipped). 
1. Each MATLAB mfile group gives an independent simulation.
2. The last mfile (to the right or bottom) of each group runs the simulations.
3. Heading n° indicates the corresponding book sections §.
4. All the SWFfiles are embedded in HTML pages.
PART I  Chap.1 Chap.2  

Heading n°  Content  Matlab mfiles (or swf, wmv)  Page  Fig. 
§1.12  Elementary example of nonlinear system resolution (mfiles):  nonlineareq.m solution.m  49  
Example of Nonlinear Equations with Jacobian (mfiles):  nleqwj.m solveroutine0.m  
Example of Nonlinear Equations with Analytic Jacobian (mfiles):  rosenbrockobj.m solveroutine1.m  
§1.7  Julia Sets (mfiles):  JuliaSet.m JuliaSequence.m  66  
§1.38 §1.35.2 
Some nonlinear systems: Lorenz, Duffing, Chua circuit, Colpitts oscillator, Rayleigh oscillator, Van der Pol oscillator (for μ=0.2, μ=1, μ=10), and Henon attractor (mfiles): 
lorenzeqs.m duffing.m Chua.m Colpitts.m Rayleigh.m vdpeq1.m vdpeq2.m vdpeq3.m henonmap.m attractLIST.m (This file starts the simulations)  212 191 
1.33 1.35 
§1.38  Plot Van der Pol oscillator for both values μ=0.2, μ=1 (mfiles):  vdpeq1.m vdpeq2.m vdpeq3.m vdpSUB.m  212  1.116 
§1.38  Evaluate Van der Pol oscillator for μ varying from 0 to 2 (mfiles):  vdpeqMU.m vdpAnim.m [t,(y_{1},y_{2})]; [y_{1}, y_{2}]  212  1.116 1.117 1.118 
§1.38  Evaluate Van der Pol oscillator for μ varying from 0 to 2.5. Show [t,y_{1},y_{2}] (mfiles):  vdpeqMU.m vdpAnim3D.m  212  1.118 
§1.38  Movies of previous simulation (swf.file, wmvfile, 16'):  vdp3D.swf: 4 movies. (vdp3D.wmv: [t,y_{1},y_{2}], vdp3D1.wmv : [t,(y_{1},y_{2})], vdp3D2.wmv: [y_{1},y_{2}]) 
212  1.116 1.117 1.118 
§1.38  Evaluate Van der Pol oscillator for μ varying from 1.8 to 2.5. [t,y_{1},y_{2}] (mfiles):  vdpeqMU.m vdp3DLong.m  212  
§1.11.2  Linear system examples: center, nodesink, spiralsource, 2 saddles (mfiles):  Group of five pairs of mfiles below: 
44  
 Center (mfiles):  center.m centerDyn.m  
 NodeSink (mfiles):  nodesink.m nodesinkDyn.m  
 Spiral Source (mfiles):  spiralsource.m spiralsourceDyn.m  
 Saddle 1 (mfiles):  saddle1.m saddle1Dyn.m  
 Saddle 2 (mfiles):  saddle2.m saddle2Dyn.m  
§1.11.3  Example of nonlinear system with a (supercritical) Hopf bifurcation (mfiles):  46  1.22  
§1.11.3  Movie of the simulation above (swf.file, wmvfile, 3'):  46  
§1.25  Example of the restricted threebody problem (mfiles):  events.m fct_tbp.m threebodyproblem.m  196  
§1.35.2.1  The first example of blue sky orbit underlying catatrophe (Blue Sky Bifurcation, Blue Sky Catastrophe) is the model of N.Gavrilov and A.Shilnikov, 2000 (mfiles):  BSCgeneric.m BSCdemoG.m  192  1.103 
§1.35.2.1  Animation for the above model where β varies between 0.18 and 10, with μ=0.456, η=0.0357 (swf.file, wmvfile, 1'' 05'): 
192  
§1.20 §1.22 §1.26.2 §1.27 
Torus (genus1) whose surface is traversed by a point with a regular trajectory (mfiles):  TorusPQ.m (see also animation of a genus1 whose radii change genus1m.swf) 
72 80 102 103 108 
1.49 
Orbit of a nonlinear system (including Hopf Bifurcation), γ= 1,..,1, μ= 0.5,..,3 (mfile): CAUTION: Consider as an exercise the question: Is the simulation Dynamic2.mvalid or not? Movie of "Dynamic2" simulation above. CAUTION:: same question as above (swf.file, wmvfile, 13'): 
Dynamic2.m OrbitDyn2.swf (OrbitDyn2.wmv) 
X  
§1.9.21  Cusp (singularity) Diagram example (mfile):  CuspDiag.m  39  X 
§1.30.1  Logistic dynamic for alpha=3.5,...,4 (mfiles):  logis.m logeqsimu.m  115  
§1.30.1  Movie of the basic dynamic (observe the revolution of points) (swf.file, wmvfile, 1"06'):  logmapDyn.swf (logmapDyn.wmv)  116  
§1.30.3  Logistic orbit (mfiles):  logisticorbit.m  119  
§1.31.0.2  Lyapunov Exponent of Logistic orbit (Lce) (mfiles):  LyapLog1.m  128  
§1.31.1  Iterative maps of logistic equation (mfiles):  bosn.m humpdemo.m  129  
§1.31.6  10 iterative maps of logistic equation (mfiles):  fct_eqs.m bosses.m  142  
§1.31.1  Iterative maps (sliders mfiles):  fct_eqs.m inter.m Huslider.m  129  
Initial values and logistic map (sliders mfiles):  logis.m inter1l.m Lslider.m  
§4.1.2  Logistic map and histogram varying with alpha (mfiles):  hyyt.m hylog.m  336  
§4.1.1  Spectra, Poincaré sections, histograms of the logistic map for alpha=3.5,..,4 (mfiles):  hyyt.m ehsp.m  331  
§1.37.26  Power spectrum for alpha=2.6,..,3.6 (mfiles):  pppp.m densipp.m pppslid.m  209  X 
§1.37.26  Movie of the power spectrum for alpha=3.35,..,3.575, lobes (swf.file, wmvfile, 1"56'):  psd1.swf (psd1.wmv)  209  X 
§1.37.26  Movie of the power spectrum for alpha=3.5,..,4 (swf.file, wmvfile, 1"05'):  psd2.swf (psd2.wmv)  209  X 
Chap.2  Basic tutorial for the Matlab SVDfunction, i.e. the Singular Value Decomposition (mfile): 
svdEXP.m  227  
§2.1  Chaotic Dynamics resulting from Delay model & R.May equation. (Note that in the following mfiles, the Matlab svdfunction mentioned above is not directly used). 
(ref. to Medio.1992)  228  
§2.1   1.Delay model, α=5 (mfiles):  medioeq.m medio05.m  234  2.8 2.9 2.10 2.11 
§2.1   2.Delay model, α=4.95 (mfiles):  medioeq.m medio0495.m  233  2.7 
§2.1   3.Delay model, α=4.85 (mfiles):  medioeq.m medio0485.m  233  2.6 
§2.1   4.Delay model, α=4.75 (mfiles):  medioeq.m medio0475.m  233  2.5 
§2.1   5.Delay model, α=4.5 (mfiles): perioddoubling 
medioeq.m medio045.m  232  2.4 
§2.1   6.Delay model, α=4.35 (mfiles):  medioeq.m medio0435.m  232  2.3 
§2.1   7.Delay model, α=4 (mfiles):  medioeq.m medio04.m  232  2.2 
 8.Delay model, α=3 (mfiles):  medioeq.m medio03.m  
§2.1   Dynamic view for alpha varying from 3 to 5 (mfiles):  medioeq.m medioanim.m  228  2.2 ↓ 2.10 
§2.1   Movie of the previous dynamic (swf.file, wmvfile, 1"39'):  medio.swf (medio.wmv)  228  2.2 ↓ 2.10 
§2.2.2   Attractor reconstructed by using Singular Spectrum Analysis [Delay model & May equation for alpha=5] (mfiles):  medioeq.m BT5med.m  239  2.12 
§2.2.3  Singular Spectrum Analysis applied to the cac40 stockindex (2806 daily values, Jan 1988  April 1998) (mfiles):  cac40.m BTcac40.m  241  2.15 
§2.3.1  Histograms of (Pseudo) fractional brownian motion; fBm, 1st and 2nddifference (sliders mfiles):  WhiteNoise.m GenBrownian.m interMB.m MBhslider.m (cf. detrending, nthdifference)  244  2.19 
§2.3.1  Movie of above simulation, loop on H=0.2,..,1 (swf.file, wmvfile, 53'):  fBM1.swf (fBM1.wmv)  244  2.19 
§2.3.3  Simulation of a (pseudo) fract. brownian motion walk in a plane for H=0.5 (m.file):  WhiteNoise.m GenBrownian.m fBmX.m  250  2.21 
§2.3.3  Movie of a bidimensional (pseudo) brownian motion, H=0.53 (swf.file, wmvfile, 11"):  Walk2D.swf (Walk2D.wmv) 11minutes  252  2.21 
§2.3.3  Movie of a (pseudo) 3dimensional fract. brownian motion, H=0.5 (swf.file, wmvfile, 11"):  Walk3D.swf (Walk3D.wmv) 11minutes  252  2.22 
PIIS03S04
PART II  Chap.3 Chap.4  

Heading n°  Content  Matlab mfiles (or swf, wmv)  Page  Fig. 
§3.4.3  Generate data of a unidimensional Gaussian distribution, then, plot its normalized histogram estimate and true density (mfiles): 
EgaussD.m histpd.m EstimDensity.m  281  3.1 
§3.4.3  Epanechnikov, Biquadratic, Gaussian and Cubic kernels (mfile): 
kernels.m  280  X 
§3.6.1.2  Gamma (or Euler) function (mfile):  Eugam.m  301  3.5 
§4.1  Poincaré sections, histograms for a stockindex, white noise, logist. map (mfile): 
cac40.m WhiteNoise.m hyyt.m scatplot.m  331  X 
§4.1.2  Probability Density Function (mfile):  pdf.m  339 336 
4.2 
§4.1.2  Natural measure of probability, ushape convergence (swf.file, wmvfile, 6'): 
Ushape.swf (Ushape.wmv)  339  4.1 4.2 
PIIIP05P06
PART III  Chap.5 Chap.6  

Heading n°  Content  Matlab mfiles (or swf, wmv)  Page  Fig. 
§ 5.3  Fourier Transform example that shows Fourier coefficients in the complex plane, periodicity, periodogram, and power (Years/cycle) (datfile, mfile):  sunspot.dat FFTperiodicity.m (this file is based on a Matlab.7 demo)  X  
Power Spectrum via Periodogram of signal (200Hz) embedded in additive noise (mfile):  periodogramEXP.m (this file is an example of the use of Matlab periodogram.m)  X  
Magnitude and Phase of Transformed Data (mfile):  magphase.m  
§ 5.3  Sum of Wave functions (mfile):  Waves.m  351  X 
§ 5.5.1  Integral of Morlet Wave (mfile):  wavesurf.m  356  5.4 
Nonnormalized Window (mfile):  arbitrarywindow.m  371  5.13  
§ 5.7.4  Normalized Gauss window (mfile):  gausswindow.m  371  
§ 5.7.4  Gauss window with its derivative x10˛ (mfiles):  gaussDgauss.m  371  5.13 5.14 
§ 5.11.1  Graphs of four window types (mfile):  windows.m  387  5.24 
Simultaneous spread variations of a window and a wave function (sliders mfile):  inter32.m gabfon2.m g2slider.m  
Simultaneous translation of a window and a wave function (sliders mfile):  inter3.m gabfonc.m gslider.m  
2 Gabor functions (or Gabor atoms) (mfile):  gaboret.m  355  5.3  
§ 5.7.1  1^{st} tutorial about the Matlab convolution function conv(mfile): 
ConvolutionM01.m  
§ 5.7.1  2^{nd} tutorial about the Matlab convolution function conv(u,v)and convolution matrix function convmtx(b,n)(mfile): 
ConvolutionM02.m Example of convolution matrix for a vector b in the Galois field GF(4), representing the numerator coefficients for a digital filter. 

§ 5.7.1  Schematic representationof the convolution of an arbitrary curve with a sliding wave function (sliders mfiles): 
interwav1.m wav1.m wav1slider.m  368  5.11 
§ 5.7.1  Movie of previous files (swf.file, wmvfile, 12'):  Convo.swf (Convo.wmv)  368  5.11 
cwt. cwt1.mused is not a version of Wavelab or Matlab7. Hereafter, The mfile CWT.mused belongs to Wavelab802. 

§ 5.5.3 § 5.17.1 
Five Gausspseudowavelet transforms of a stockindex (mfiles): Attention: a Gausspseudowavelet is obviously not a true wavelet in a strict sense (since it does not fulfil the criteria) but allows to point out the wavelet contruction mechanism by means of a useful counterexample. 
cac40.m cwt1.m ^{(*)} CACechel.m wtfcacgauss.m^{(*)} ^{(*)}Revised on 3 September 2010. 
358 448 449 450 451 452 453 455 456 
5.6 5.43 5.44 5.45 5.46 5.47 5.48 5.49 
§ 5.17.1  Five Morlet wavelet transforms of a stockindex (mfiles):  cac40.m cwt1.m CACechel.m wtfcacmorlet.m Revised on 3 September 2010. 
456 455 
5.48 5.49 X 
§ 5.17  Image of the Continuous Wavelet Transform of a signal that consists of: (1) two slighly different Gabor atoms whose internal frequencies progressively increase, (2) a Dirac, (3) a sinusoid, (4) and a noise that increases at each repeated sequence. (23') (mfiles): 
CWT.m^{(*)} ImageCWT.m^{(*)} CWTanimSig.m ^{(*)}mfiles belonging to Wavelab802. 
448 449 450 451 452 453 455 456 
X 
§ 5.17  Movie of the previous files of the Continous Wavelet Transform. (swffile, wmvfile, 23'):  CWTsig.swf (CWTsig.wmv)  X  
§ 5.17  Display in the TimeFrequency plane, by Wavelab802, for the signal transients, the Compared Images of Continuous Wavelet Transforms by using: (a) Gauss, (b) DerGauss, (c) Sombrero, (d) Morlet. (mfiles): 
CWT.m^{(*)} ImageCWT.m^{(*)} CWTtrsComp.m ^{(*)}from Wavelab802. 
X  
§ 5.17  Display, for the signal transients, the Continuous Wavelet Transforms by using a Morlet wavelet. Image displayed in the TimeFrequency plane.(mfiles): 
CWT.m^{(*)} ImageCWT.m^{(*)} CWTtrs.m ^{(*)}from Wavelab802. 
X  
§ 5.10.3  Example of a spectrogram for the signal transients(mfiles): 
transients.asc SpectrogTrans.m  381  
§ 5.18  WignerVille TimeFrequency Distribution of the signal "transients" (mfiles):  wvdist.m transients.asc wgtrans.m (TimeFrequency plane: [0,1] vs. [0,1])  456  X 
§ 5.18  WignerVille TimeFrequency Distribution of 2 Gabor atoms (mfiles):  wvdist.m wg2ats.m (TF. plane: [0,1] vs. [0,1/2]).  458  X 
§ 5.18  WignerVille TimeFrequency Distribution of 2 slighly different Gabor atoms whose internal frequencies progressively increase (mfiles):  wvdist.m wg2atsmv.m (TF. plane: [0,1] vs. [0,1]).  458  X 
§ 5.18  Movie of above files, observe the (calculation) interference terms (swffile, wmvfile, 4'):  WGatoms.swf (WGatoms.wmv) (TF. plane: [0,1] vs. [0,1]).  458  X 
§ 5.18  Same WignerVille Dist. but in the TimeFrequency plane: [0,1] vs. [0,1/2] (mfiles):  wvdist.m wg2atsmvHALF.m (TF. plane: [0,1] vs. [0,1/2]).  458  
§ 5.18  Movie of the files above (swffile, wmvfile, 4'):  WGatomsHALF.swf (WGatomsHALF.wmv)  458  
AliasFree Generalized Discrete TimeFrequency Distribution of 2 Gabor atoms (mfiles):  tfdist.m td2ats.m  X  
§ 5.18.1  Cohen class TimeFrequency Distribution of 2 Gabor atoms (mfiles):  ShapeLike.m ^{(5)} CohenDist.m Interpol2.m repCH.m 
459  5.51 
§ 5.18.1  Cohen class TimeFrequency Distribution of 2 slighly different Gabor atoms whose internal frequencies progressively increase (mfiles):  ShapeLike.m CohenDist.m Interpol2.m repCHmv.m  459  X 
§ 5.18.1  Movie of the previous files of the Cohen class TimeFrequency Dist. (swffile, wmvfile, 4'):  ChGatoms.swf (ChGatoms.wmv compare with its spectrogram: SpectgAts.swf)  459  X 
Comparison of Representations In the TimeFrequency Plane: a) Cohen Dist. b) WignerVille Dist., c) Spectrogam. for a same basic signal consisting of: two slighly different Gabor atoms whose internal frequencies progressively increase. (4'). 
COMPsigBasic.html^{(*)} ^{(*)}Page including 4 swf animations. 

§ 5.18.1  Cohen class TimeFrequency 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) and a noise that increases at each repeated sequence. (23') (mfiles):  ShapeLike.m CohenDist.m Interpol2.m CHMultSig.m^{(*)} ^{(*)}Revised on 3 september 2010. 
461  X 
§ 5.18.1  Movie of the previous files of the Cohen class TimeFrequency Dist. (swffile, wmvfile, 4'):  CHsignals.swf (CHsignals.wmv) (compare with its WignerVille dist.: WIGsignalsFULL.swf (WIGsignalsFULL.wmv) (TF plane [0,1] vs. [0,1]) WIGsignalsHALF.swf (WIGsignalsHALF.wmv) ([0,1] vs. [0,1/2]). See interference terms.  X X 

Comparison of Representations In the TimeFrequency Plane: a) Cohen Dist. b) WignerVille Dist., c) Continuous Wavelet Transf. for a same signal consisting of: (1) two slighly different Gabor atoms whose internal frequencies progressively increase, (2) a Dirac, (3) a sinusoid, (4) and a noise that increases at each repeated sequence. (23'). 
COMPsig.html^{(*)} ^{(*)}Page including 4 swf animations. 

§ 5.18.1  Cohen class TimeFrequency Distribution of the signal "transients" (mfiles):  ShapeLike.m CohenDist.m Interpol2.m transients.asc ConhenDisttransients.m  X  
§ 5.18.1  Cohen class TimeFrequency Distribution of the topologist's sine curve (mfiles):  ShapeLike.m CohenDist.m Interpol2.m topoCH.m  X  
§ 5.18.1  Cohen class TimeFrequency Distribution of the signal "linchirp" (mfiles):  ShapeLike.m CohenDist.m Interpol2.m linchirp.asc ConhenDistlinchirp.m  X  
§ 5.18.1  Cohen class TimeFrequency Distribution of 2048 Data of cac40 1stdifferences (mfiles):  ShapeLike.m CohenDist.m Interpol2.m cac40.m ConhenDistCAC.m  X  
§ 5.18.1  Cohen class TimeFrequency Distribution of 2847 Data of cac40 1stdifferences (mfiles):  Cohen class TimeFrequency Distribution of 2847 Data of cac40 1stdifferences (mfiles): ShapeLike.m CohenDist.m Interpol2.m cac40.m ConhenDistCAC2847.m  X  
§ 5.18.1  List of classic signals available as asc files (or via txtfiles):  transients info.txt,  linchirp,  tweet,  sunspots,  greasy,  caruso info.txt,  HochNMR info.txt,  RaphNMR info.txt,  esca info.txt. 
transients.asc (or via transients.txt) linchirp.asc (or via linchirp.txt) tweet.asc (or via tweet.txt) sunspots.asc (or via sunspots.txt) greasy.asc (or via greasy.txt) caruso.asc (or via caruso.txt) HochNMR.asc (or via HochNMR.txt) RaphNMR.asc (or via RaphNMR.txt) esca.asc (or via esca.txt) 

§ 5.18.1  Plot these signals in only one picture of nine subplots (mfile):  Signals9.m (demo using the above asc signals)  X  
§ 5.18.1  Plot individually each one of the above signals: (mfiles):  sg1plot.m (transients) sg2plot.m (linchirp) sg3plot.m (tweet) sg4plot.m (sunspots) sg5plot.m (greasy) sg6plot.m (caruso) sg7plot.m (HochNMR) sg8plot.m (RaphNMR) sg9plot.m (esca) 
X X X X X X X X X 

Plot in only one picture the nine firstreturn map subplots of each one of previous signals (ascfiles, mfiles)  transients.asc linchirp.asc tweet.asc sunspots.asc greasy.asc caruso.asc HochNMR.asc RaphNMR.asc esca.asc FRMSignals.m (demo) 
X  
§ 5.18.1  Cohen class TimeFrequency Distribution of the signal greasyanalyzed on a segment of 512 data scrolling pointby point along the entire signal made of 8192 data. Each sample is resized (mfiles) 
greasy.asc ShapeLike.m CohenDist.m Interpol2.m CohenGREASYanim.m 6 minutes 30 s 
X  
§ 5.18.1  Movie of the above mfiles (swf file  embedded in html page, and wmv file): 
greasyCH.swf 6 minutes 30s (greasyCH.wmv Midresolution, 36Mo) 
X X 

§ 5.18.1  Cohen class TimeFrequency Distribution of the signal tweetanalyzed on a segment of 512 data scrolling pointby point along the entire signal made of 8192 data. Each sample is resized (mfiles) 
tweet.asc ShapeLike.m CohenDist.m Interpol2.m CohenTWEETanim.m 8 minutes 32 s 
X  
§ 5.18.1  Movie of the above animation (swf, wmv files): 
tweetCH.swf 8 minutes 32s (tweetCH.wmv Midresolution, 66Mo) 
X X 

§ 5.18.1  Cohen class TimeFrequency Distribution of the signal tweetanalyzed on a shorter segment of 256 data scrolling pointbypoint along the entire signal made of 8192 data. Each sample is resized (mfiles) 
tweet.asc ShapeLike.m CohenDist.m Interpol2.m CohenTWEETanim256.m  
§ 5.18.1  Movie of the above animation (swf, wmv files):  tweet256CH.swf 8 minutes 49s (tweet256CH.wmv Midresolution, 51Mo) 

§ 5.18.1  Cohen class TimeFrequency Distribution of the signal Carusoanalyzed on a segment of 512 data scrolling pointby point along the entire signal formed of 50.000 data. Each sample is resized (mfiles): 
caruso.asc ShapeLike.m CohenDist.m Interpol2.m CohenCARUSOanim.m 36 minutes 47 s 
X  
§ 5.18.1  Movie of the above animation (swf, wmv files): 
carusoCH.swf 36 minutes 47s (carusoCH.wmv Midresolution, 208Mo) 
X X 

§ 5.18.1  Display together the Cohen Distributions of the long signals above: tweet, greasy, Caruso (swf files):  CHlongSigs.html This page may be slow to display (∑≈230Mo). 
Matching Pursuit by using Wavelab802:  

Heading n°  Content  Zipfiles of Matlab mfiles 
Page  Fig 
§6.2.1  1a. Example of animation of an Atomic Decomposition into Cosine Packets by Matching Pursuit of the signal Linchirp, 512 data. (zipfile): 
This zipped folder named animMPCPresidual.zip includes 23 files. mpCPLinchirp.m runs the Demo.  495 496 497 
X 
§6.2.2  1b. Example of animation of an Atomic Decomposition into Wavelet Packets by Matching Pursuit of the signal Linchirp, 512 data. (zipfile): 
This zipped folder named animMPWPresidual.zip includes 23 files. mpWPLinchirp.m runs the Demo.  497 498 499 
X 
§5.14.5  2a. A Demo of Matching Pursuit applied to the signal transients, which displays: 1. Cosine Packet Synthesis Table; 2. Cosine Pack. Residuals Table; 3. Compression Numbers; 4. Phase plane. (zipfile): 
This zipped folder named animMPCPDisplay.zip includes 31 files. DemoMPCPtransients.m runs the Demo.  424 426 
X X 
§5.14.5  2b. A Demo of Matching Pursuit applied to the signal transients, which displays: 1. Wavelet Packet Synthesis Table; 2. Wavelet Packet Residuals Table; 3. Compression Numbers; 4. Phase plane. (zipfile) 
This zipped folder named animMPWPDisplay.zip includes 31 files. DemoMPWPtransients.m runs the Demo.  424 426 
X X 
5. In PIIIP05P06 above the file ShapeLike.m was missing, it has been added.
6. For now, the Mallat & Zhang version of the Matching Pursuit Algorithm (i.e. timefrequency atom dictionaries, or stochastic atom dictionaries..) is not shown here.
PIVE07E08
PART IV  Chap.7 Chap.8  

Heading n°  Content  Matlab mfiles (or swf, wmv)  Page  Fig. 
§7.3.2  Reminders about CobbDouglas and CES production functions:  Production fcts. or via pdf file  532 540 564 603 

§7.3  Reference Solow Model (1956) and Steady State (mfiles):  ces.m cobbdouglas.m Vest.m netVest.m TnestVest2.m SolowR.m  531 532 
X 
§7.3.2  Animation of Solow Model (1956) when the savings rate s varies (sliders, mfiles):  cobbdouglas.m VestCB.m netVestCB.m TnestVestCB.m SolowSUB.m SwSLID.m  531  X 
§7.3.2  Movie of previous files (swffile, wmvfile, 08'):  slw.swf (slw.wmv)  531  X 
§7.12  Some words about:  Goodwin Model (1967)  592  
§7.12  Goodwin Model (1967) (mfiles):  goodwin.m good1sim.m  592  
§7.12  Goodwin Model (1990) (mfiles):  goodwin2.m good2sim.m  592 
1.Each MATLAB mfile group gives an independent simulation.
2. The last mfile (to the right or bottom) of each group runs the simulations.
3. Heading n° indicates the corresponding book sections §.
4. All the SWFfiles are embedded in HTML pages.
5. In PIIIP05P06 above the file
ShapeLike.mwas missing, it has been added.
6. For now, the Mallat & Zhang versions of the Matching Pursuit Algorithm (i.e. timefrequency atom dictionaries, or stochastic atom dictionaries.. ) is not shown here.
7.Some mfiles use syntaxes developed via versions anterior to Matlab.7.0. R14.
8.This material is only intented for didactic uses.
Examples of movie (menu): views
Views of each animation swf web page
 Reach swf files to save as target ..
 Reach wmv files to save as target ..
 Adobe Shockwave player is required to display swf files, if needed download it here
Revised on 4 Sept. 2011.