Inverse pseudo orbit tracing property for robust diffeomorphisms

Manseob Lee

Chaos, Solitons & Fractals, 2022, vol. 160, issue C

Abstract: Let f : M → M be a diffeomorphism of a compact smooth manifold M. Herein, we demonstrate that (i) if f has the C1 robustly inverse pseudo orbit tracing property on the chain recurrent set CR(f), then CRf is hyperbolic of f and (ii) if f has the C1 robustly inverse pseudo orbit tracing property on a nontrivial transitive set Λ ⊂ M, then Λ is hyperbolic for f.111991 Mathematics Subject Classification. 37C50; 37D20.

Keywords: Inverse pseudo orbit tracing; The chain recurrent set; Transitive set; Hyperbolic (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922003605

DOI: 10.1016/j.chaos.2022.112150

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