STRUCTURAL STABILITY OF VECTOR FIELDS WITH ORBITAL INVERSE SHADOWING

Title & Authors
STRUCTURAL STABILITY OF VECTOR FIELDS WITH ORBITAL INVERSE SHADOWING
Lee, Keon-Hee; Lee, Zoon-Hee; Zhang, Yong;

Abstract
In this paper, we give a characterization of the structurally stable vector fields via the notion of orbital inverse shadowing. More precisely, it is proved that the $\small{C^1}$ interior of the set of $\small{C^1}$ vector fields with the orbital inverse shadowing property coincides with the set of structurally stable vector fields. This fact improves the main result obtained by K. Moriyasu et al. in [15].
Keywords
Language
English
Cited by
1.
Asymptotic Average Shadowing Property and Chain Transitivity for Multiple Flow Systems, Differential Equations and Dynamical Systems, 2016
2.
Divergence-free vector fields with inverse shadowing, Advances in Difference Equations, 2013, 2013, 1, 337
3.
Hamiltonian systems with orbital, orbital inverse shadowing, Advances in Difference Equations, 2014, 2014, 1, 192
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