How to perform a Bifurcation Analysis of a two parameter family matrix?












0












$begingroup$


Perform a Bifurcation Analysis for the following two parameter family function.



begin{bmatrix}a&1\b&1end{bmatrix}



Plot the bifurcation in the a-b plane rather than the Trace-Determinant plane.



I have only ever performed one parameter bifurcation analysis before, and I am really not sure how to perform this analysis. An help at all would be greatly appreciated!










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$endgroup$












  • $begingroup$
    Can I suggest learning how to do a bifurcation analysis before actually doing it ?
    $endgroup$
    – onurcanbektas
    Dec 5 '18 at 5:00
















0












$begingroup$


Perform a Bifurcation Analysis for the following two parameter family function.



begin{bmatrix}a&1\b&1end{bmatrix}



Plot the bifurcation in the a-b plane rather than the Trace-Determinant plane.



I have only ever performed one parameter bifurcation analysis before, and I am really not sure how to perform this analysis. An help at all would be greatly appreciated!










share|cite|improve this question









$endgroup$












  • $begingroup$
    Can I suggest learning how to do a bifurcation analysis before actually doing it ?
    $endgroup$
    – onurcanbektas
    Dec 5 '18 at 5:00














0












0








0





$begingroup$


Perform a Bifurcation Analysis for the following two parameter family function.



begin{bmatrix}a&1\b&1end{bmatrix}



Plot the bifurcation in the a-b plane rather than the Trace-Determinant plane.



I have only ever performed one parameter bifurcation analysis before, and I am really not sure how to perform this analysis. An help at all would be greatly appreciated!










share|cite|improve this question









$endgroup$




Perform a Bifurcation Analysis for the following two parameter family function.



begin{bmatrix}a&1\b&1end{bmatrix}



Plot the bifurcation in the a-b plane rather than the Trace-Determinant plane.



I have only ever performed one parameter bifurcation analysis before, and I am really not sure how to perform this analysis. An help at all would be greatly appreciated!







ordinary-differential-equations analysis graphing-functions matrix-equations bifurcation






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share|cite|improve this question











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share|cite|improve this question










asked Dec 4 '18 at 18:07









Jarod JohsnonJarod Johsnon

1




1












  • $begingroup$
    Can I suggest learning how to do a bifurcation analysis before actually doing it ?
    $endgroup$
    – onurcanbektas
    Dec 5 '18 at 5:00


















  • $begingroup$
    Can I suggest learning how to do a bifurcation analysis before actually doing it ?
    $endgroup$
    – onurcanbektas
    Dec 5 '18 at 5:00
















$begingroup$
Can I suggest learning how to do a bifurcation analysis before actually doing it ?
$endgroup$
– onurcanbektas
Dec 5 '18 at 5:00




$begingroup$
Can I suggest learning how to do a bifurcation analysis before actually doing it ?
$endgroup$
– onurcanbektas
Dec 5 '18 at 5:00










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