- #1
marellasunny
- 255
- 3
Is it possible for a surface to be obtained as the solution for a system of differential equations in a 3d phase space?
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?
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?