How do I find steady state of nonlinear odes in a symbolic representation using MATLAB?

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Yuhong Jin 2019-11-22

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评论： Walter Roberson 2019-11-22

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I have two differential equations:

dAdt = -0.1*A^2+0.3*B

and

dBdt = 0.1*A^2-0.3*B

initial values are

A(0)=1, B(0)=0

How can I find a symbolic representation at steady state: dAdt=0, using MATLAB

Thank you very much!

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Walter Roberson 2019-11-22

If there is a symbolic representation of the steady state, it would have to be in terms of something like JacobiAM -- an inherently complex-valued system with an infinite number of solutions, that has mostly complex-valued solutions but sometimes has a real solution. When I look at it, it looks to me as if in this case there are no real-valued solutions.

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