Question: so the below would suffice ? For a dynamical system given by (dot{x} = f(x)) with a hyperbolic fixed point at (x = x_0), the

so the below would suffice ? For a dynamical system given by (\dot{x} = f(x)) with a hyperbolic fixed point at (x = x_0), the behavior of the system near (x_0) can be approximated by its linearization

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