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Offline netsonicyxf  
#1 Posted : 19 July 2021 07:23:38(UTC)
netsonicyxf


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Click to enlarge

How to get explict parametric function, like x=x(t), y=y(t), z=z(t) from above equations?

THX

Edited by moderator 31 December 2021 04:46:51(UTC)  | Reason: Not specified

thanks 1 user thanked netsonicyxf for this useful post.
on 31/12/2021(UTC)

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Offline uni  
#2 Posted : 19 July 2021 08:11:15(UTC)
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You can get discrete values and then interpolate them.

Click to enlarge

The Dadras Attractor.sm (16kb) downloaded 22 time(s).

Edited by user 31 December 2021 04:47:29(UTC)  | Reason: Not specified

Russia ☭ forever
Viacheslav N. Mezentsev
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on 19/07/2021(UTC)
Offline netsonicyxf  
#3 Posted : 19 July 2021 09:37:19(UTC)
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Thank you for the numerical solution.

How to get symbolic solution?
Offline uni  
#4 Posted : 19 July 2021 12:23:27(UTC)
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Not sure if chaos can be described symbolically.
Russia ☭ forever
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Offline Razonar  
#5 Posted : 27 July 2021 08:53:30(UTC)
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Hi. For show the four plots at once.

Clipboard01.jpg

DadrasAttractor.sm (47kb) downloaded 19 time(s).

Best regards.
Alvaro.
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on 27/07/2021(UTC)
Offline netsonicyxf  
#6 Posted : 27 July 2021 08:58:38(UTC)
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Thanks for the 3D image
Offline uni  
#7 Posted : 31 December 2021 04:20:32(UTC)
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Originally Posted by: netsonicyxf Go to Quoted Post
How to get explict parametric function, like x=x(t), y=y(t), z=z(t) from above equations?

Now it is possible.

Dadras Attractor.sm (21kb) downloaded 18 time(s).
The Aizawa Attractor.sm (22kb) downloaded 10 time(s).

Click to enlarge Click to enlarge

Links:

1. https://github.com/tmhglnd/strange-attractor-synth
2. https://www.deviantart.c...50549/strange-attractors
3. The Aizawa Attractor (youtube)

Edited by user 31 December 2021 04:43:58(UTC)  | Reason: Not specified

Russia ☭ forever
Viacheslav N. Mezentsev
thanks 4 users thanked uni for this useful post.
on 31/12/2021(UTC),  on 31/12/2021(UTC),  on 31/12/2021(UTC),  on 31/12/2021(UTC)
Offline Ber7  
#8 Posted : 01 January 2022 14:53:16(UTC)
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The Aizawa Attractor animation
Calculation points are equidistant


Aizawa Attractor.sm (16kb) downloaded 8 time(s).
thanks 1 user thanked Ber7 for this useful post.
on 01/01/2022(UTC)
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