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Hyperbolicity of a system. (URGENT!!!)
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Wilson

Frequent VisitorJoined: 20 Oct 2004Posts: 74

Posted: Mon Dec 13, 2004 7:51 pm    Post subject: Hyperbolicity of a system. (URGENT!!!)

with X= aM – bL, I = uM – vL, J = av – bu , and a,b,L,M,u,v are constants.

System (*) is said to be hyperbolic in if the following 2 conditions are satisfied:

(i) all the eigenvalues of det( A – B – C ) = 0 are real for every pair ( , ) R^2 : ^2 + ^2 = 1;and (ii) associated with the eigenvalues there exists a complete set of 8 linearly independent right eigenvectors in the state space.

System (*) is said to be weakly hyperbolic in if (i) is satisfied but there does not exist a complete set of linearly independent right eigenvectors.

Is (*) hyperbolic or weakly hyperbolic?

Hope someone can help. Thank you very much.

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