Consider the system (3 (a) Find the flow of the system. = -71 = 1+1 =...

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Consider the system (3 (a) Find the flow of the system. = -71 = −1₂+1² = 73 +1² (b) Find the stable, unstable and center manifolds of the system. (c) Linearize the system about the origin and determine the stability of the origin. (d) Use the Hartman-Grobman Theorem to determine if the linear stability analysis is valid (e) Determine the stable, unstable and center subspaces (f) Using parts (b) and (e) sketch the manifolds and subspaces. Also verify the stable manifold theorem Consider the system (3 (a) Find the flow of the system. = -71 = −1₂+1² = 73 +1² (b) Find the stable, unstable and center manifolds of the system. (c) Linearize the system about the origin and determine the stability of the origin. (d) Use the Hartman-Grobman Theorem to determine if the linear stability analysis is valid (e) Determine the stable, unstable and center subspaces (f) Using parts (b) and (e) sketch the manifolds and subspaces. Also verify the stable manifold theorem

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a Find the flow of the system The flow of the system is given by the following equations x y y x These equations can be solved to give the following s... View the full answer