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Lipschitz stability and Lyapunov stability in dynamical systems
Nonlinear Analysis: Theory, Methods & Applications, 1992Let \(f\) be a diffeomorphism of a Riemannian manifold \(M\). Let there exist a flow \(\pi^ t\) on \(M\) such that \(f=\pi^ 1\). The authors construct an example of \(f\) and of \(\pi\), connected with \(f\) by the above formula, such that \(f\) is Lipschitz stable but \(\pi\) is not Lipschitz stable as a flow.
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