In Exercises 24 through 29, consider a dynamical systemx(t + 1) = Ax(t)with two

Chapter 7, Problem 24

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In Exercises 24 through 29, consider a dynamical systemx(t + 1) = Ax(t)with two components. The accompanying sketch shows the initial state vector xq and two eigenvectors, v\ and v2, of A (with eigenvalues k\ and k2, respectively). For the given values ofk\ and k2, sketch a rough trajectory. Think about the future and the past of the system.

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