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Unformatted text preview: x to the system of nonlinear ordinary differential equations d x dt = fx is of the following type if the eigenvalues of the Jacobian J x 1 , x 2 ( ) matrix J have the following properties: i) Both are real and negative x is a stable node ii) Both are real and positive x is an unstable node iii) Both are real, with one negative and one positive x is an unstable node iv) They are complex conjugative with negative real parts x is an stable center (spiral) v) They are complex conjugative with positive real parts x is an stable center (spiral)...
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This note was uploaded on 02/09/2011 for the course EEP 115 taught by Professor Waynem.getz during the Fall '10 term at University of California, Berkeley.
- Fall '10