Monthly Best Of on 06/04/2003




Tridimensional visualization of the Verhulst dynamics

Jean-François COLONNA
www.lactamme.polytechnique.fr
jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France
france telecom, France Telecom R&D

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Contents of this page:


1-The 128 most referenced Pictures:



Color display of a tridimensional function
1-970 reference(s)
Welcome aboard A VIRTUAL SPACE-TIME TRAVEL MACHINE
2-739 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-485 reference(s)
Jean-François Colonna
4-446 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
5-413 reference(s)
Artistic view of the prime numbers
6-361 reference(s)
Tridimensional integration of the phase rotation of the wavelet transform of a bidimensional fractal field
7-356 reference(s)
From Pluto to the Sun (non linear scales)
8-327 reference(s)
The Lorenz attractor
9-317 reference(s)
Quark and gluon structure of a nucleon
10-280 reference(s)
Phase rotation of the wavelet transform of a bidimensional fractal field
11-246 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
12-228 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
13-228 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors)
14-221 reference(s)
Rotation about X and Y axes of the Jeener's triple Klein bottle
15-213 reference(s)
Artistic view of the Big Bang
16-211 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
17-210 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
18-209 reference(s)
The Birth of the Universe
19-206 reference(s)
Tridimensional integration of the phase rotation of the wavelet transform of a bidimensional fractal field
20-197 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
21-195 reference(s)
Paradoxal Monument Valley at sunset
22-184 reference(s)
Wavelet filtering of a bidimensional fractal field
23-181 reference(s)
Double impossible staircase
24-179 reference(s)
Rotation about the Y (vertical)axis of the Jeener's triple Klein bottle that can also be viewed as a set of 4x3 stereograms
25-178 reference(s)
12 evenly distributed points on a sphere -an Icosahedron- by means of simulated annealing
26-173 reference(s)
Cauliflowers, seaweeds, shells,... with fog
27-171 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
28-170 reference(s)
The generalized Ulam spiral displaying 100 numbers
29-168 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
30-161 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
31-157 reference(s)
Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
32-156 reference(s)
Artistic view of the tridimensional integration of the phase rotation of the wavelet transform of a bidimensional fractal field
33-152 reference(s)
Artistic view of the tridimensional integration of the phase rotation of the wavelet transform of a bidimensional fractal field
34-150 reference(s)
Texture animation by means of the generalized Fourier filtering process
35-150 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
36-149 reference(s)
An Archimedes spiral displaying 1000 numbers
37-148 reference(s)
Electron-positron scattering
38-148 reference(s)
Quark and gluon dynamics of the nucleon
39-136 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
40-128 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
41-128 reference(s)
Botticelli anomaly on the Moon
42-127 reference(s)
Electron diffraction
43-126 reference(s)
The CMAP logo
44-125 reference(s)
The Bonan-Jeener's triple Klein bottle
45-125 reference(s)
Earthquake with multifractal mountains
46-124 reference(s)
Mountains at sunrise
47-123 reference(s)
Zollner optical illusion
48-122 reference(s)
Black dots (inside random white squares)on a square lattice
49-122 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
50-118 reference(s)
Synthesis of bidimensional geometrical textures
51-117 reference(s)
The Eratosthene sieve displaying 100x100 numbers
52-116 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
53-116 reference(s)
Rotation about the X axis of the Lorenz attractor
54-116 reference(s)
N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light)
55-115 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
56-115 reference(s)
Archimedes spirals
57-109 reference(s)
Starship and black hole
58-108 reference(s)
Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
59-106 reference(s)
Psychedelic hypercube
60-106 reference(s)
Hypercube
61-106 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
62-105 reference(s)
Along the border of the Mandelbrot set
63-105 reference(s)
Computation of the Lorenz attractor on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
64-105 reference(s)
Zoom in on mountains (with 3D clipping, bird's-eye view)
65-105 reference(s)
Tridimensional zoom in on the Mandelbrot set
66-104 reference(s)
N-body problem integration (N=2)displaying a perfect Keplerian orbit
67-102 reference(s)
Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-
68-102 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
69-101 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
70-101 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
71-100 reference(s)
The erection of the Babel Tower
72-100 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
73-100 reference(s)
Artistic view of the Bonan-Jeener's triple Klein bottle
74-100 reference(s)
Electron-neutrino scattering
75-98 reference(s)
Forward tridimensional integration of the wavelet filtering of a bidimensional fractal field
76-97 reference(s)
Bidimensional zoom in on the Z=Zeta(Z)iteration with display of the arguments
77-97 reference(s)
The first two iterations of the construction of the von Koch curve
78-96 reference(s)
Wavelet reconstruction of a bidimensional fractal field using the 16 first dilatations
79-96 reference(s)
The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
80-96 reference(s)
Artistic view of the Hydrogen atom
81-95 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
82-94 reference(s)
The three pendulums and three magnets problem computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
83-92 reference(s)
The iterative process used to generate fractal mountains (16 iterations)
84-92 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
85-90 reference(s)
The random walk of photons escaping the Sun
86-90 reference(s)
The generalized Ulam spiral displaying 1024 numbers
87-90 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
88-90 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
89-89 reference(s)
Carnival in motion
90-89 reference(s)
Alien
91-88 reference(s)
Happy birthday
92-87 reference(s)
Lorenz butterfly
93-87 reference(s)
The eye of God -an artistic view of the Solar System-
94-86 reference(s)
The Klein bottle
95-85 reference(s)
Zoom in on the von Koch curve
96-83 reference(s)
A twisting rope
97-83 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
98-83 reference(s)
A higly symmetrical system (a bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle)can lost very fast the memory of its initial symmetry -with display of velocity histograms-
99-82 reference(s)
Impossible structure
100-82 reference(s)
Tridimensional fractal structure
101-82 reference(s)
Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
102-81 reference(s)
The CMAP logo
103-81 reference(s)
A tridimensional periodical fluid with display of velocity histograms
104-80 reference(s)
The irreversibility of the numerical bidimensional billiard
105-80 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
106-79 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
107-78 reference(s)
Flames
108-76 reference(s)
Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
109-76 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
110-76 reference(s)
Artistic view of the Jeener's triple Klein bottle
111-76 reference(s)
Animation of a sunrise on mountains
112-74 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
113-74 reference(s)
A shell (Jeener surface 1)in motion
114-73 reference(s)
Brownian motion of a few heavy slow particles inside a gaz of fast light particles
115-71 reference(s)
Forward tridimensional integration of the wavelet filtering of a bidimensional fractal field with cross-section
116-71 reference(s)
Exploding tridimensional fractal aggregate
117-70 reference(s)
An arbitrary surface (Jeener surface 2)in motion
118-70 reference(s)
The Earth, the Life and the Sun
119-69 reference(s)
Morning sun pool
120-69 reference(s)
La Génèse (1974)
121-69 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
122-69 reference(s)
Texture animation by means of Fourier filtering of a random walk process
123-68 reference(s)
Waltzing Monument Valley
124-68 reference(s)
More and more craters on the Moon
125-68 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
126-68 reference(s)
Backward tridimensional integration of the wavelet filtering of a bidimensional fractal field
127-68 reference(s)
Zoom in on light clouds
128-68 reference(s)




2-The 128 most referenced Pages:



1-demo_14
3757 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
1014 reference(s)
3-An2000.01.Fra
909 reference(s)
4-help.
494 reference(s)
5-AVirtualSpaceTimeTravelMachine.Fra
340 reference(s)
6-AVirtualSpaceTimeTravelMachine.Ang.FV
309 reference(s)
7-Galeries.01.vv
300 reference(s)
8-Commentaires_DefinitionTransformeeDeFourier.01
265 reference(s)
9-Galerie_NewPictures.FV
264 reference(s)
10-present.01.
260 reference(s)
11-ImagesDuVirtuel.01.Fra
248 reference(s)
12-Galerie_DeterministicFractalGeometry.FV
241 reference(s)
13-mail.01.vv
240 reference(s)
14-copyright.01.
230 reference(s)
15-Galerie_BestOf.FV
228 reference(s)
16-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
218 reference(s)
17-Galerie_ArtisticCreation.FV
218 reference(s)
18-GenieLogiciel.01.Fra
213 reference(s)
19-Commentaires_SystemeSolaire.01
192 reference(s)
20-Galerie_CelestialMechanics.FV
187 reference(s)
21-AProposSite.01.Fra
186 reference(s)
22-Galerie_QuantumMechanics.FV
184 reference(s)
23-demo_14.FV
183 reference(s)
24-Galerie_DeterministicChaos
180 reference(s)
25-Galerie_GeneralitiesVisualization.FV
179 reference(s)
26-ExpV_VirE.Fra
179 reference(s)
27-Fractal.01
177 reference(s)
28-Informations_AboutPicturesAnimationsAndFiles.01.Ang
176 reference(s)
29-ImagesDuVirtuel.01.Fra.FV
175 reference(s)
30-Galerie_CelestialMechanics
173 reference(s)
31-hydrogene.61.K.
172 reference(s)
32-AvantPropos.01.Ang
168 reference(s)
33-Galerie_ParticleSystems.FV
166 reference(s)
34-Galerie_QuantumMechanics
165 reference(s)
35-Galerie_NewPictures
165 reference(s)
36-BEST.20000905
165 reference(s)
37-Galerie_DeterministicChaos.FV
164 reference(s)
38-ExpV_VirE.11
160 reference(s)
39-Galerie_NumberTheory.FV
156 reference(s)
40-Galerie_TextureSynthesis.FV
154 reference(s)
41-AVirtualSpaceTimeTravelMachine.Fra.FV
154 reference(s)
42-ExpV_VirE.Ang
150 reference(s)
43-Galerie_DeterministicFractalGeometry
148 reference(s)
44-Commentaires_ModeleIsingBiDimensionnel.01
148 reference(s)
45-Galerie_ArtAndScience.FV
145 reference(s)
46-Galerie_FluidMechanics.FV
142 reference(s)
47-Galerie_Astrophysics.FV
142 reference(s)
48-AnimFractal.01.
140 reference(s)
49-AQuoiServentLesMathematiques.01
139 reference(s)
50-ArtScience.01
138 reference(s)
51-JFC
137 reference(s)
52-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
135 reference(s)
53-RemarquesCerveau.01
134 reference(s)
54-An2000.05.Fra
134 reference(s)
55-ExpV_VirE.01.Fra
133 reference(s)
56-An2000.02.Fra
133 reference(s)
57-Commentaires_DefinitionComplexes.01
132 reference(s)
58-BEST.20030327
132 reference(s)
59-Informations_GoodNewsAndBadNews.01.Ang
131 reference(s)
60-Autostereograms.01.
131 reference(s)
61-Galerie_NewPictures.DIAPO.0001
130 reference(s)
62-Vcatalogue.11
129 reference(s)
63-Galerie_SensitivityToRoundingOffErrors.FV
129 reference(s)
64-Commentaires_EnsembleMandelbrotComplexe.01
129 reference(s)
65-Galerie_ParticleSystems
128 reference(s)
66-MonumentValley.01.Ang
127 reference(s)
67-Galerie_SignalProcessing.FV
123 reference(s)
68-subject.01.
121 reference(s)
69-create.03.
121 reference(s)
70-RealNumbers.01.Fra
121 reference(s)
71-BEST.20010925
120 reference(s)
72-BEST.20020828
119 reference(s)
73-VisitesGaleriesEnfouies.01.Ang
116 reference(s)
74-Kepler.02.
116 reference(s)
75-Commentaires_ProblemeDesNCorps.01
116 reference(s)
76-Commentaires_DefinitionQuaternions.01
114 reference(s)
77-An2000.01.Ang
113 reference(s)
78-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
111 reference(s)
79-Commentaires_ProblemeDesNAimants.01
111 reference(s)
80-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
110 reference(s)
81-Galerie_ArtisticCreation.DIAPO.0001
110 reference(s)
82-Galerie_TextureSynthesis
108 reference(s)
83-BEST.20000323
108 reference(s)
84-Galerie_ArtisticCreation
107 reference(s)
85-Galerie_QuantumMechanics.DIAPO.0001
106 reference(s)
86-An2000.11.Fra
106 reference(s)
87-VirtualChaos.01.Fra
105 reference(s)
88-Ariane501.01.Fra
105 reference(s)
89-ArtOrdinateur.01
104 reference(s)
90-VisSci_SciVis.01
103 reference(s)
91-Galerie_NumberTheory
103 reference(s)
92-Commentaires_StructuresVivantesRecursives.01
102 reference(s)
93-Galerie_GeneralitiesVisualization
101 reference(s)
94-VisitesGaleriesEnfouies.01.Fra
100 reference(s)
95-Informations_AboutPicturesAnimationsAndFiles.01.Fra
100 reference(s)
96-Commentaires_SurfaceDeBoy.01
100 reference(s)
97-stereogra.01.c.
99 reference(s)
98-Commentaires_ModeleIsingTriDimensionnel.01
99 reference(s)
99-Galerie_DeterministicFractalGeometry.DIAPO.0001
98 reference(s)
100-Commentaires_KleinBottle.01
98 reference(s)
101-PatrimoineHumanite.02.Fra
97 reference(s)
102-Commentaires_NKleinBottle.01
97 reference(s)
103-Commentaires_EnsembleJuliaComplexe.01
97 reference(s)
104-Galerie_SalonDAutomne.FV
96 reference(s)
105-Commentaires_EnsembleMandelbrotQuaternion.01
96 reference(s)
106-Galerie_DeterministicChaos.DIAPO.0001
95 reference(s)
107-Galerie_CelestialMechanics.DIAPO.0001
95 reference(s)
108-Galerie_ArtAndScience.DIAPO.0001
95 reference(s)
109-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
95 reference(s)
110-Galerie_Astrophysics.DIAPO.0001
94 reference(s)
111-Galerie_ArtAndScience
94 reference(s)
112-AvantPropos.01.Fra
94 reference(s)
113-relativity.01.
93 reference(s)
114-LumiereVirtuelleParadoxale.01
93 reference(s)
115-Galerie_NumberTheory.DIAPO.0001
93 reference(s)
116-Galerie_GeneralitiesVisualization.DIAPO.0001
93 reference(s)
117-ExpV_VirE.01.Ang
93 reference(s)
118-An2000.04.Fra
93 reference(s)
119-Galerie_ParticleSystems.DIAPO.0001
92 reference(s)
120-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
92 reference(s)
121-Galerie_FromTheInfinitelySmallToTheInfinitelyBig
92 reference(s)
122-catalogue.11
91 reference(s)
123-Galerie_SensitivityToRoundingOffErrors
91 reference(s)
124-Galerie_NewPictures.DIAPO.0002
91 reference(s)
125-Galerie_FluidMechanics.DIAPO.0001
91 reference(s)
126-Galerie_FluidMechanics
91 reference(s)
127-MinistreEducationNationale.01.Fra
90 reference(s)
128-ManyChaos.01.Ang
90 reference(s)

And now, enjoy visiting A Virtual Space-Time Travel Machine.




Copyright (c) Jean-François Colonna, 2003-2018.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2003-2018.