S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps

2021/04/08 by Jozef Bobok, Jernej Činč, Bobok, Jozef +5
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #advanced mathematical theories #math.DS

paper · pdf · doi:10.48550/arxiv.2104.03999

arxiv created 2021/04/08 · openalex publication_date 2021/04/08 · arxiv updated 2021/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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