Lipschitz Shadowing for Flows

Details Lipschitz Shadowing for Flows Lipschitz Shadowing for Flows

2011-03-16

arxiv.org/abs/1103.3210v1

Mathematics

Dynamical Systems

35 pages

Scientific paper

Let $\phi$ be the flow generated by a smooth vector field $X$ on a smooth
closed manifold. We show that the Lipschitz shadowing property of $\phi$ is
equivalent to the structural stability of $X$ and that the Lipschitz periodic
shadowing property of $\phi$ is equivalent to the $\Omega$-stability of $X$.

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