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  1. ranyai12
    • 3 years ago
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    @Spacelimbus

  2. Spacelimbus
    • 3 years ago
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    hmm I can't see the error myself yet, my only guess could be with the fixated values.

  3. ranyai12
    • 3 years ago
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    i know that the 3 is wrong but idk why

  4. Spacelimbus
    • 3 years ago
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    The Jacobian Matrix looks right to me too, have you tried with different fixated values? other critical points I mean, I see you have found three of them.

  5. ranyai12
    • 3 years ago
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    yea and they all seem to be wrong somehow one of the values in the jacobian end up being wrong

  6. Spacelimbus
    • 3 years ago
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    so it seems like the critical points are the problem then, not your setup.

  7. Spacelimbus
    • 3 years ago
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    \[\Large x'=y \\ \Large y'=3x-3x^3 \] yes?

  8. ranyai12
    • 3 years ago
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    yea

  9. ranyai12
    • 3 years ago
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    but my critical points are correct because in a previous question it asked to solve for all the critical points and this was a follow up question

  10. Spacelimbus
    • 3 years ago
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    yes I see.

  11. Spacelimbus
    • 3 years ago
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    \[\Large J(x,y)=\left[\begin{matrix}0 & 1 \\ -9x^2+3 & 0\end{matrix}\right]\]

  12. ranyai12
    • 3 years ago
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    I caught my mistake!!!

  13. Spacelimbus
    • 3 years ago
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    oh? Mind to share?

  14. Spacelimbus
    • 3 years ago
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    I haven't seen it yet.

  15. ranyai12
    • 3 years ago
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    when i plugged in the critical poiints into the jacobian there was an algebraic error so the jacobian wouldve been 0 1 -6 0

  16. Spacelimbus
    • 3 years ago
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    point (1,0) huh?

  17. ranyai12
    • 3 years ago
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    yea

  18. Spacelimbus
    • 3 years ago
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    hmm I understand it for that point, but I am not sure why point (0,0) shouldn't work, if it's in fact a critical point.

  19. ranyai12
    • 3 years ago
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    because this question is asking for the first critical point we found, which we had to put in order from lowest value ot highest, and so we had to use (-1,0)

  20. Spacelimbus
    • 3 years ago
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    Oh I understand, I wasn't aware of that. (-: Well, well done!

  21. ranyai12
    • 3 years ago
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    Thank you!!!

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spraguer (Moderator)
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