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Question 7 Prove that the forward ow map generated by any smooth one-dimensional dynamical system of the form it = f(x), 93(0) = 930, f

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Question 7 Prove that the forward ow map generated by any smooth one-dimensional dynamical system of the form it = f(x), 93(0) = 930, f E C(R), is invertible at xed points at any nite time. (Hint: derive the evolution equation for 8X (t, sod/69:0, and solve such equation analytically at a xed point)

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