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Unformatted text preview: x * = d ) Give the solution of the dynamical system with x = 200. x n = e ) Draw the solution of the dynamical system with x = 200 (four points are enough). 2 f ) Draw the cobweb diagram of the dynamical system with x = 200 (four iterations are enough). g ) Determine the stability of the equilibrium point using the cobweb diagram. The equilibrium point is Question 2 The dynamical system x n +1 = αx n 1 + βx n , n = 0 , 1 , 2 , 3 ,... plays a role in the analysis of nonlinear models of gene and neural networks. α and β are positive parameters. Suppose that α = 2 and β = 1, a ) If x = 2 . 5, then x 1 = , x 2 = , x 3 = b ) Find the equilibrium points x * of the dynamical system. x * =...
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- Spring '10
- Calculus, Equilibrium point, Stability theory, Dynamical systems