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.
