Eigenvalues for a system of nonlinear ordinary differential equations

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Greg 2011-10-17

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https://ww2.mathworks.cn/matlabcentral/answers/18513-eigenvalues-for-a-system-of-nonlinear-ordinary-differential-equations

Hello, I'm adapting code from xpp into matlab. Briefly, I have a nonlinear system of ordinary differential equations (the Hodgkin-Huxley model) and I want to compute the eigenvalues under different conditions to get some intuition.

In xpp this is a two-button process. However I'm clueless about how to do this in Matlab (because I'm clueless about how it's actually done). If it were a linear system the e-values would be equal to the e-values of the Jacobian, but since it's nonlinear I'm lost. I'm guessing the solution is necessarily numerical. Can anyone shed some light?

Thanks.

-greg