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Volume 37 (2024)

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Far East Journal of Dynamical Systems

interior of the set of all diffeomorphisms on a

closed surface having the weak shadowing property satisfies Axiom A and the no-cycle condition. In this paper, it is proved that if both attractors and repellors of a diffeomorphism f belonging to the

interior are trivial, then f satisfies the strong transversality condition.

Far East Journal of Dynamical Systems
Volume 3, Issue 1, Pages 45 - 49 (June 2001)

A NOTE ON WEAK SHADOWING
Kazuhiro Sakai (Japan)

Abstract:
Each element of the

interior of the set of all diffeomorphisms on a

interior are trivial, then f satisfies the strong transversality condition.

Keywords and phrases: weak shadowing property, shadowing property, Axiom A, no-cycle condition, strong transversality condition, structurally stable.

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