Unformatted text preview: 1 2 V x 2 n of V (i.e., the matrix of second partial derivatives of V ) is nonsingular at the equilibria of x = grad V ( x ), show that the equilibria cannot be spirals or centers. 2. Exercise 4.3-part (2) of the textbook. 3. Exercise 4.4 of the textbook. 1...
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- Spring '08
- Derivative, Jacobian matrix and determinant, GRADIENT SYSTEMS, minus gradient, gradient system., xn x1