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DCDS-B
We introduce a variational shadowing property of diffeomorphisms
and show that this property is equivalent to structural
stability. Bibliography: 8 titles.
DCDS
We use Lyapunov type functions to find conditions
of finite shadowing in a neighborhood of a nonhyperbolic
fixed point of a one-dimensional or two-dimensional
homeomorphism or diffeomorphism. A new concept of shadowing
in which we control the size of one-step errors
is introduced in the case of a nonisolated
fixed point.
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