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Divergence-free vector fields with average and asymptotic average shadowing property

✍ Scribed by Alireza Zamani Bahabadi

Book ID: 118428698
Publisher: Elsevier Science
Year: 2012
Tongue: English
Weight: 196 KB
Volume: 45
Category: Article
ISSN: 0960-0779
DOI: 10.1016/j.chaos.2012.07.008

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In this note, we prove that every Lyapunov stable map from a compact metric space onto itself is topologically ergodic, provided it has the asymptotic average shadowing property.