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Consider the ODE system (x = -x (x2 = 2x - 5x 2 Evaluate the flow ot: R R. Find the stable and unstable

Consider the ODE system (x = -x x2 = 2x - 5x 2 Evaluate the flow ot: R R. Find the stable and unstable

Consider the ODE system (x = -x (x2 = 2x - 5x 2 Evaluate the flow ot: R R. Find the stable and unstable manifolds. Show that they are invariant with respect to the flow. Linearize the nonlinear equation about the critical point and study the origin. Find stable, unstable, and center subspaces.

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