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Your search keyword '"*SHADOWING theorem (Mathematics)"' showing total 2 results
Start Over Descriptor "*SHADOWING theorem (Mathematics)" Topic mathematical analysis Publisher hindawi limited
2 results on '"*SHADOWING theorem (Mathematics)"'

1. C2-Stably Limit Shadowing Diffeomorphisms.

Author

Lee, Manseob and Park, Junmi

Subjects
*DIFFEOMORPHISMS, *LIMITS (Mathematics), *SHADOWING theorem (Mathematics), *AXIOMS, *MATHEMATICAL analysis
Abstract

Let f be a diffeomorphism on a C∞ closed surface. In this paper, we show that if f has the C2-stably limit shadowing property, then we have the following: (i) f satisfies the Kupka-Smale condition; (ii) if P(f) is dense in the nonwandering set Ω(f) and if there is a dominated splitting on Ps(f), then f satisfies both Axiom A and the strong transversality condition. [ABSTRACT FROM AUTHOR]

Published
2015
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2. Orbital Shadowing for C¹-Generic Volume-Preserving Diffeomorphisms.

Author

Manseob Lee

Subjects
*ORBIT method, *SHADOWING theorem (Mathematics), *DIFFEOMORPHISMS, *ANOSOV flows, *DIFFERENTIABLE dynamical systems, *MATHEMATICAL analysis
Abstract

We show that C¹-generically, if a volume-preserving diffeomorphism has the orbital shadowing property, then the diffeomorphism is Anosov. [ABSTRACT FROM AUTHOR]

Published
2013
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