In stability analysis how to construct the jacobian matrix?











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I'm a bit confused if we have $dfrac{dx}{dt}=z+3y+x^2$ and $dfrac{dy}{dt}=z^2$ what will be the components of the Jacobian matrix?










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  • Jacobian of what?
    – Federico
    Nov 23 at 17:13










  • as @Moo said something is missing in the problem
    – Isham
    Nov 23 at 17:49










  • Let's make it a bit clear. if we have two functions: first one depends only on x, second one depends on y and r. What will be the jacobian matrix for this case? I'm applying stability analysis to some physical system but I'm confused on constructing the jacobian. Hope it's clear now.
    – TheDreamer
    Nov 23 at 17:52















up vote
0
down vote

favorite












I'm a bit confused if we have $dfrac{dx}{dt}=z+3y+x^2$ and $dfrac{dy}{dt}=z^2$ what will be the components of the Jacobian matrix?










share|cite|improve this question
























  • Jacobian of what?
    – Federico
    Nov 23 at 17:13










  • as @Moo said something is missing in the problem
    – Isham
    Nov 23 at 17:49










  • Let's make it a bit clear. if we have two functions: first one depends only on x, second one depends on y and r. What will be the jacobian matrix for this case? I'm applying stability analysis to some physical system but I'm confused on constructing the jacobian. Hope it's clear now.
    – TheDreamer
    Nov 23 at 17:52













up vote
0
down vote

favorite









up vote
0
down vote

favorite











I'm a bit confused if we have $dfrac{dx}{dt}=z+3y+x^2$ and $dfrac{dy}{dt}=z^2$ what will be the components of the Jacobian matrix?










share|cite|improve this question















I'm a bit confused if we have $dfrac{dx}{dt}=z+3y+x^2$ and $dfrac{dy}{dt}=z^2$ what will be the components of the Jacobian matrix?







differential-equations jacobian stability-theory






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share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Nov 23 at 17:15









Yadati Kiran

1,245417




1,245417










asked Nov 23 at 17:05









TheDreamer

11




11












  • Jacobian of what?
    – Federico
    Nov 23 at 17:13










  • as @Moo said something is missing in the problem
    – Isham
    Nov 23 at 17:49










  • Let's make it a bit clear. if we have two functions: first one depends only on x, second one depends on y and r. What will be the jacobian matrix for this case? I'm applying stability analysis to some physical system but I'm confused on constructing the jacobian. Hope it's clear now.
    – TheDreamer
    Nov 23 at 17:52


















  • Jacobian of what?
    – Federico
    Nov 23 at 17:13










  • as @Moo said something is missing in the problem
    – Isham
    Nov 23 at 17:49










  • Let's make it a bit clear. if we have two functions: first one depends only on x, second one depends on y and r. What will be the jacobian matrix for this case? I'm applying stability analysis to some physical system but I'm confused on constructing the jacobian. Hope it's clear now.
    – TheDreamer
    Nov 23 at 17:52
















Jacobian of what?
– Federico
Nov 23 at 17:13




Jacobian of what?
– Federico
Nov 23 at 17:13












as @Moo said something is missing in the problem
– Isham
Nov 23 at 17:49




as @Moo said something is missing in the problem
– Isham
Nov 23 at 17:49












Let's make it a bit clear. if we have two functions: first one depends only on x, second one depends on y and r. What will be the jacobian matrix for this case? I'm applying stability analysis to some physical system but I'm confused on constructing the jacobian. Hope it's clear now.
– TheDreamer
Nov 23 at 17:52




Let's make it a bit clear. if we have two functions: first one depends only on x, second one depends on y and r. What will be the jacobian matrix for this case? I'm applying stability analysis to some physical system but I'm confused on constructing the jacobian. Hope it's clear now.
– TheDreamer
Nov 23 at 17:52















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