How to get explict parametric function

#1 Posted: 7/19/2021 1:23:38 AM

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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Вячеслав Мезенцев 12/30/2021 10:46:00 PM

#2 Posted: 7/19/2021 2:11:15 AM

Вячеслав Мезенцев

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You can get discrete values and then interpolate them.

The Dadras Attractor.sm (15 KiB) downloaded 41 time(s).

Russia ☭ forever, Viacheslav N. Mezentsev

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Oscar Campo 7/19/2021 9:02:00 AM

#3 Posted: 7/19/2021 3:37:19 AM

netsonicyxf

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Thank you for the numerical solution.

How to get symbolic solution?

#4 Posted: 7/19/2021 6:23:27 AM

Вячеслав Мезенцев

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Not sure if chaos can be described symbolically.

Russia ☭ forever, Viacheslav N. Mezentsev

#5 Posted: 7/27/2021 2:53:30 AM

Alvaro Diaz Falconi

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Hi. For show the four plots at once.

DadrasAttractor.sm (46 KiB) downloaded 35 time(s).

Best regards.
Alvaro.

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Fridel Selitsky 7/27/2021 3:46:00 AM

#6 Posted: 7/27/2021 2:58:38 AM

netsonicyxf

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Thanks for the 3D image

#7 Posted: 12/30/2021 10:20:32 PM

Вячеслав Мезенцев

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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 KiB) downloaded 34 time(s).
The Aizawa Attractor.sm (21 KiB) downloaded 28 time(s).

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 Diaz Falconi 12/31/2021 10:14:00 AM, NDTM Amarasekera 12/31/2021 6:05:00 AM, Fridel Selitsky 12/31/2021 3:12:00 AM, Andrey Ivashov 12/31/2021 7:05:00 AM

#8 Posted: 1/1/2022 8:53:16 AM

Fridel Selitsky

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The Aizawa Attractor animation
Calculation points are equidistant

Aizawa Attractor.sm (15 KiB) downloaded 23 time(s).

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Вячеслав Мезенцев 1/1/2022 12:22:00 PM

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How to get explict parametric function

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