Re: Negative eigenvalues, nonlinear 2x2 system
- From: Fred Krogh <fkrogh@xxxxxxxxxxxxxxxx>
- Date: Mon, 28 May 2007 14:27:57 -0700
victor.herasme@xxxxxxxxx wrote:
Hi,
this might be a silly question for some of you but i want to know. I
am trying to solve a 2x2 nonlinear system. The professor told me to
check the sign of the eigenvalues because it has something to do with
the stability of the solution. Can anyone explain me the difference of
two negative, two positive, and mixed sign (one positive, the other
negative) eigenvalues ? I will apreciate your help very much. Thanks,
The signs of the eigenvalues do not affect the stability if you are just
solving a system of equations, but if you have the initial value problem
dy/dt = Ay, then a positive eigenvalue will will mean the solution to
the ODE is unstable. If both eigenvalues are < 0, the solution to this
equation would tend to 0.
Fred
.
- References:
- Negative eigenvalues, nonlinear 2x2 system
- From: victor.herasme@xxxxxxxxx
- Negative eigenvalues, nonlinear 2x2 system
- Prev by Date: finding eigenvectors
- Next by Date: Re: LU factorization applied to an ill-conditionned matrix
- Previous by thread: Negative eigenvalues, nonlinear 2x2 system
- Next by thread: Analysis question
- Index(es):
Relevant Pages
|
|
