Is it possible for a surface to be obtained as the solution for a system of differential equations in a 3d phase space?(adsbygoogle = window.adsbygoogle || []).push({});

Almost all 3d phase plots I have observed are curves,example the Lorenz system.

Is there a general formula that says that a system of n differential equations would produce a n-dimensional curve in a n-dimensional phase space?

Problem at hand:

I have been provided the individual 2d solution plots for a 3 variable,2 parameter system.Now,with these 2d solution plots,I want to make the 3d phase plot.In the process,I also want to create a system of 3 differential equations.Any suggestions?

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# 3d phase space-surface

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