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How to get explict parametric function

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#1 Posted: 2021/7/19 01:23:38
netsonicyxf

netsonicyxf

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

THX
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#2 Posted: 2021/7/19 02:11:15
Вячеслав Мезенцев

Вячеслав Мезенцев

1,532 likes in 1,838 posts.

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You can get discrete values and then interpolate them.

Click to enlarge

The Dadras Attractor.sm (15.16 KiB) downloaded 668 time(s).
Russia ☭ forever, Viacheslav N. Mezentsev
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Oscar Campo 2021/7/19 09:02:00
#3 Posted: 2021/7/19 03:37:19
netsonicyxf

netsonicyxf

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Thank you for the numerical solution.

How to get symbolic solution?
#4 Posted: 2021/7/19 06:23:27
Вячеслав Мезенцев

Вячеслав Мезенцев

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Not sure if chaos can be described symbolically.
Russia ☭ forever, Viacheslav N. Mezentsev
#5 Posted: 2021/7/27 02:53:30
Alvaro

Alvaro

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Hi. For show the four plots at once.

Clipboard01.jpg

DadrasAttractor.sm (46.22 KiB) downloaded 670 time(s).

Best regards.
Alvaro.
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Fridel Selitsky 2021/7/27 03:46:00
#6 Posted: 2021/7/27 02:58:38
netsonicyxf

netsonicyxf

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Thanks for the 3D image
#7 Posted: 2021/12/30 22:20:32
Вячеслав Мезенцев

Вячеслав Мезенцев

1,532 likes in 1,838 posts.

Group: Moderator

Wrote

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 (20.15 KiB) downloaded 663 time(s).
The Aizawa Attractor.sm (21.51 KiB) downloaded 646 time(s).

Click to enlarge Click to enlarge

Links:

1. https://github.com/tmhglnd/strange-attractor-synth
2. https://www.deviantart.com/chaoticatmospheres/gallery/44050549/strange-attractors
3. The Aizawa Attractor (youtube)
Russia ☭ forever, Viacheslav N. Mezentsev
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Alvaro 2021/12/31 10:14:00, NDTM Amarasekera 2021/12/31 06:05:00, Fridel Selitsky 2021/12/31 03:12:00, Andrey Ivashov 2021/12/31 07:05:00
#8 Posted: 2022/1/1 08:53:16
Fridel Selitsky

Fridel Selitsky

520 likes in 451 posts.

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The Aizawa Attractor animation
Calculation points are equidistant


Aizawa Attractor.sm (15.78 KiB) downloaded 645 time(s).
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