strange attractor plot

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2
down vote

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s = NDSolve[{

    Derivative[1][x][t] == -y[t] - z[t],

    Derivative[1][y][t] == x[t] + 0.1 y[t],

    Derivative[1][z][t] == .01 + z[t] (x[t] - 14),

    x[0] == z[0] == 0, y[0] == 0}, {x, y, z}, {t, 0, 400},     MaxSteps -> [Infinity]]; Show[ParametricPlot3D[Evaluate[{x[t], y[t], z[t]} /. s], {t, 0, 400},    PlotPoints -> 2000,    PlotStyle -> Directive[Thick, RGBColor[0, 0, 0]],    ColorFunction -> (ColorData["SolarColors", #1] &)],   Graphics3D[{ColorData["SolarColors"][0],     Sphere[First[({x[t], y[t], z[t]} /. s) /. t -> 0], 1]}],   RotationAction -> "Clip", Boxed

-> False, SphericalRegion -> False,   Axes -> False, ImageSize -> 500]

When I do this code it only shows a picture of part of the Rossler attractor https://en.wikipedia.org/wiki/R%C3%B6ssler_attractor, even though the derivatives are correct. What's going wrong?

asked Nov 17 at 17:24

Forever Mozart

1153

1

Add the PlotRange -> All option to Graphics3D.
– Rohit Namjoshi
Nov 17 at 17:29

@RohitNamjoshi still not working for me
– Forever Mozart
Nov 17 at 17:43

1

That is odd. What version of Mathematica are you running? I am on 11.3.0 for Mac OS X x86 (64-bit) (March 7, 2018). When I add that option I see this.
– Rohit Namjoshi
Nov 17 at 17:49

@RohitNamjoshi It is the latest version. Can you send me the complete code you entered? I may be doing something wrong (I'm new to this).
– Forever Mozart
Nov 17 at 17:56

I copied exactly what you posted and added PlotRange -> All as the last argument to Plot. Perhaps you have some previously bound symbol that is interfering. Try evaluating ClearAll["Global*"]` first.
– Rohit Namjoshi
Nov 17 at 18:12

|
show 2 more comments

up vote
2
down vote

favorite

s = NDSolve[{

    Derivative[1][x][t] == -y[t] - z[t],

    Derivative[1][y][t] == x[t] + 0.1 y[t],

    Derivative[1][z][t] == .01 + z[t] (x[t] - 14),

    x[0] == z[0] == 0, y[0] == 0}, {x, y, z}, {t, 0, 400},     MaxSteps -> [Infinity]]; Show[ParametricPlot3D[Evaluate[{x[t], y[t], z[t]} /. s], {t, 0, 400},    PlotPoints -> 2000,    PlotStyle -> Directive[Thick, RGBColor[0, 0, 0]],    ColorFunction -> (ColorData["SolarColors", #1] &)],   Graphics3D[{ColorData["SolarColors"][0],     Sphere[First[({x[t], y[t], z[t]} /. s) /. t -> 0], 1]}],   RotationAction -> "Clip", Boxed

-> False, SphericalRegion -> False,   Axes -> False, ImageSize -> 500]

When I do this code it only shows a picture of part of the Rossler attractor https://en.wikipedia.org/wiki/R%C3%B6ssler_attractor, even though the derivatives are correct. What's going wrong?

asked Nov 17 at 17:24

Forever Mozart

1153

1

Add the PlotRange -> All option to Graphics3D.
– Rohit Namjoshi
Nov 17 at 17:29

@RohitNamjoshi still not working for me
– Forever Mozart
Nov 17 at 17:43

1

That is odd. What version of Mathematica are you running? I am on 11.3.0 for Mac OS X x86 (64-bit) (March 7, 2018). When I add that option I see this.
– Rohit Namjoshi
Nov 17 at 17:49

@RohitNamjoshi It is the latest version. Can you send me the complete code you entered? I may be doing something wrong (I'm new to this).
– Forever Mozart
Nov 17 at 17:56

I copied exactly what you posted and added PlotRange -> All as the last argument to Plot. Perhaps you have some previously bound symbol that is interfering. Try evaluating ClearAll["Global*"]` first.
– Rohit Namjoshi
Nov 17 at 18:12

|
show 2 more comments

up vote
2
down vote

favorite

s = NDSolve[{

    Derivative[1][x][t] == -y[t] - z[t],

    Derivative[1][y][t] == x[t] + 0.1 y[t],

    Derivative[1][z][t] == .01 + z[t] (x[t] - 14),

    x[0] == z[0] == 0, y[0] == 0}, {x, y, z}, {t, 0, 400},     MaxSteps -> [Infinity]]; Show[ParametricPlot3D[Evaluate[{x[t], y[t], z[t]} /. s], {t, 0, 400},    PlotPoints -> 2000,    PlotStyle -> Directive[Thick, RGBColor[0, 0, 0]],    ColorFunction -> (ColorData["SolarColors", #1] &)],   Graphics3D[{ColorData["SolarColors"][0],     Sphere[First[({x[t], y[t], z[t]} /. s) /. t -> 0], 1]}],   RotationAction -> "Clip", Boxed

-> False, SphericalRegion -> False,   Axes -> False, ImageSize -> 500]

When I do this code it only shows a picture of part of the Rossler attractor https://en.wikipedia.org/wiki/R%C3%B6ssler_attractor, even though the derivatives are correct. What's going wrong?

asked Nov 17 at 17:24

Forever Mozart

1153

s = NDSolve[{

    Derivative[1][x][t] == -y[t] - z[t],

    Derivative[1][y][t] == x[t] + 0.1 y[t],

    Derivative[1][z][t] == .01 + z[t] (x[t] - 14),

    x[0] == z[0] == 0, y[0] == 0}, {x, y, z}, {t, 0, 400},     MaxSteps -> [Infinity]]; Show[ParametricPlot3D[Evaluate[{x[t], y[t], z[t]} /. s], {t, 0, 400},    PlotPoints -> 2000,    PlotStyle -> Directive[Thick, RGBColor[0, 0, 0]],    ColorFunction -> (ColorData["SolarColors", #1] &)],   Graphics3D[{ColorData["SolarColors"][0],     Sphere[First[({x[t], y[t], z[t]} /. s) /. t -> 0], 1]}],   RotationAction -> "Clip", Boxed

-> False, SphericalRegion -> False,   Axes -> False, ImageSize -> 500]

When I do this code it only shows a picture of part of the Rossler attractor https://en.wikipedia.org/wiki/R%C3%B6ssler_attractor, even though the derivatives are correct. What's going wrong?

plotting

asked Nov 17 at 17:24

Forever Mozart

1153

asked Nov 17 at 17:24

Forever Mozart

1153

asked Nov 17 at 17:24

Forever Mozart

1153

asked Nov 17 at 17:24

Forever Mozart

1153

asked Nov 17 at 17:24

Forever Mozart

1153

1

Add the PlotRange -> All option to Graphics3D.
– Rohit Namjoshi
Nov 17 at 17:29

@RohitNamjoshi still not working for me
– Forever Mozart
Nov 17 at 17:43

1

That is odd. What version of Mathematica are you running? I am on 11.3.0 for Mac OS X x86 (64-bit) (March 7, 2018). When I add that option I see this.
– Rohit Namjoshi
Nov 17 at 17:49

@RohitNamjoshi It is the latest version. Can you send me the complete code you entered? I may be doing something wrong (I'm new to this).
– Forever Mozart
Nov 17 at 17:56

I copied exactly what you posted and added PlotRange -> All as the last argument to Plot. Perhaps you have some previously bound symbol that is interfering. Try evaluating ClearAll["Global*"]` first.
– Rohit Namjoshi
Nov 17 at 18:12

|
show 2 more comments

1

Add the PlotRange -> All option to Graphics3D.
– Rohit Namjoshi
Nov 17 at 17:29

@RohitNamjoshi still not working for me
– Forever Mozart
Nov 17 at 17:43

1

That is odd. What version of Mathematica are you running? I am on 11.3.0 for Mac OS X x86 (64-bit) (March 7, 2018). When I add that option I see this.
– Rohit Namjoshi
Nov 17 at 17:49

@RohitNamjoshi It is the latest version. Can you send me the complete code you entered? I may be doing something wrong (I'm new to this).
– Forever Mozart
Nov 17 at 17:56

I copied exactly what you posted and added PlotRange -> All as the last argument to Plot. Perhaps you have some previously bound symbol that is interfering. Try evaluating ClearAll["Global*"]` first.
– Rohit Namjoshi
Nov 17 at 18:12

Add the PlotRange -> All option to Graphics3D.
– Rohit Namjoshi
Nov 17 at 17:29

@RohitNamjoshi still not working for me
– Forever Mozart
Nov 17 at 17:43

That is odd. What version of Mathematica are you running? I am on 11.3.0 for Mac OS X x86 (64-bit) (March 7, 2018). When I add that option I see this.
– Rohit Namjoshi
Nov 17 at 17:49

@RohitNamjoshi It is the latest version. Can you send me the complete code you entered? I may be doing something wrong (I'm new to this).
– Forever Mozart
Nov 17 at 17:56

I copied exactly what you posted and added PlotRange -> All as the last argument to Plot. Perhaps you have some previously bound symbol that is interfering. Try evaluating ClearAll["Global*"]` first.
– Rohit Namjoshi
Nov 17 at 18:12

|
show 2 more comments

1 Answer
1

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oldest

votes

up vote
5
down vote

accepted

Add PlotRange -> All

Show[ParametricPlot3D[Evaluate[{x[t], y[t], z[t]} /. s], {t, 0, 400}, 

  PlotPoints -> 2000, 

  PlotStyle -> Directive[Thick, RGBColor[0, 0, 0]], 

  ColorFunction -> (ColorData["SolarColors", #1] &)], 

 Graphics3D[{ColorData["SolarColors"][0], 

   Sphere[First[({x[t], y[t], z[t]} /. s) /. t -> 0], 1]}], 

 RotationAction -> "Clip", Boxed -> False, SphericalRegion -> False, 

 Axes -> False, ImageSize -> 500, PlotRange -> All]

enter image description here

answered Nov 17 at 18:26

Rohit Namjoshi

63319

add a comment |

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1 Answer
1

active

oldest

votes

1 Answer
1

active

oldest

votes

up vote
5
down vote

accepted

Add PlotRange -> All

Show[ParametricPlot3D[Evaluate[{x[t], y[t], z[t]} /. s], {t, 0, 400}, 

  PlotPoints -> 2000, 

  PlotStyle -> Directive[Thick, RGBColor[0, 0, 0]], 

  ColorFunction -> (ColorData["SolarColors", #1] &)], 

 Graphics3D[{ColorData["SolarColors"][0], 

   Sphere[First[({x[t], y[t], z[t]} /. s) /. t -> 0], 1]}], 

 RotationAction -> "Clip", Boxed -> False, SphericalRegion -> False, 

 Axes -> False, ImageSize -> 500, PlotRange -> All]

enter image description here

answered Nov 17 at 18:26

Rohit Namjoshi

63319

add a comment |

up vote
5
down vote

accepted

Add PlotRange -> All

Show[ParametricPlot3D[Evaluate[{x[t], y[t], z[t]} /. s], {t, 0, 400}, 

  PlotPoints -> 2000, 

  PlotStyle -> Directive[Thick, RGBColor[0, 0, 0]], 

  ColorFunction -> (ColorData["SolarColors", #1] &)], 

 Graphics3D[{ColorData["SolarColors"][0], 

   Sphere[First[({x[t], y[t], z[t]} /. s) /. t -> 0], 1]}], 

 RotationAction -> "Clip", Boxed -> False, SphericalRegion -> False, 

 Axes -> False, ImageSize -> 500, PlotRange -> All]

enter image description here

answered Nov 17 at 18:26

Rohit Namjoshi

63319

add a comment |

up vote
5
down vote

accepted

Add PlotRange -> All

Show[ParametricPlot3D[Evaluate[{x[t], y[t], z[t]} /. s], {t, 0, 400}, 

  PlotPoints -> 2000, 

  PlotStyle -> Directive[Thick, RGBColor[0, 0, 0]], 

  ColorFunction -> (ColorData["SolarColors", #1] &)], 

 Graphics3D[{ColorData["SolarColors"][0], 

   Sphere[First[({x[t], y[t], z[t]} /. s) /. t -> 0], 1]}], 

 RotationAction -> "Clip", Boxed -> False, SphericalRegion -> False, 

 Axes -> False, ImageSize -> 500, PlotRange -> All]

enter image description here

answered Nov 17 at 18:26

Rohit Namjoshi

63319

Add PlotRange -> All

Show[ParametricPlot3D[Evaluate[{x[t], y[t], z[t]} /. s], {t, 0, 400}, 

  PlotPoints -> 2000, 

  PlotStyle -> Directive[Thick, RGBColor[0, 0, 0]], 

  ColorFunction -> (ColorData["SolarColors", #1] &)], 

 Graphics3D[{ColorData["SolarColors"][0], 

   Sphere[First[({x[t], y[t], z[t]} /. s) /. t -> 0], 1]}], 

 RotationAction -> "Clip", Boxed -> False, SphericalRegion -> False, 

 Axes -> False, ImageSize -> 500, PlotRange -> All]

enter image description here

answered Nov 17 at 18:26

Rohit Namjoshi

63319

answered Nov 17 at 18:26

Rohit Namjoshi

63319

answered Nov 17 at 18:26

Rohit Namjoshi

63319

answered Nov 17 at 18:26

Rohit Namjoshi

63319

add a comment |

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