arXiv Open Access 2014

Oriented shadowing property and $Ω$-stability for vector fields

Shaobo Gan Ming Li Sergey B. Tikhomirov

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Abstrak

We call that a vector field has the oriented shadowing property if for any $\varepsilon>0$ there is $d>0$ such that each $d$-pseudo orbit is $\varepsilon$-oriented shadowed by some real orbit. In this paper, we show that the $C^1$-interior of the set of vector fields with the oriented shadowing property is contained in the set of vector fields with the $Ω$-stability.

Topik & Kata Kunci

math.DS

Penulis (3)

Shaobo Gan

Ming Li

Sergey B. Tikhomirov

Format Sitasi

APA MLA BibTeX

Gan, S., Li, M., Tikhomirov, S.B. (2014). Oriented shadowing property and $Ω$-stability for vector fields. https://arxiv.org/abs/1404.3545

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Informasi Jurnal

Tahun Terbit: 2014
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓