S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps
Résumé
In this paper we show that generic continuous Lebesgue measure preserving circle maps have the s-limit shadowing property. In addition we obtain that s-limit shadowing is a generic property also for continuous circle maps. In particular, this implies that classical shadowing, periodic shadowing and limit shadowing are generic in these two settings as well.
Domaines
Systèmes dynamiques [math.DS]
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s-limit-shadowing-is-generic-for-continuous-lebesgue-measure-preserving-circle-maps.pdf (707.19 Ko)
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