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Weak inverse shadowing and genericity

이건희|김성식|최태영
대한수학회 (The Korean Mathematical Society)|2006.02|대한수학회보 (Bulletin of the KMS)|제43권 제1호|pp. 43-52

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Abstract

We study the genericity of the first weak inverse shadowingproperty and the second weak inverse shadowing property in thespace of homeomorphisms on a compact metric space, and show thatevery shift homeomorphism does not have the first weak inverseshadowing property but it has the second weak inverse shadowing property.

참고문헌 (9)

  1. "Approximate and real trajectories for generic dynamicalsystems", 189(2), pp.409~423 (1995)
  2. "Bishadowing andhyperbolicity", 12(8), pp.1779~1788 (2002)
  3. "Hyperbolic homeomorphisms andbishadowing", 65(2), pp.171~177 (1997)
  4. "Continuous inverse shadowing and hyperbolicity", 67(1), pp.15~26 (2003)
  5. "Inverse shadowing of circle maps", 69(3), pp.353~359 (2004)
  6. "Shadowing in dynamical systems, Lecture Notesin Mathematics 1706" (1999), Springer-Verlag
  7. "Inverse shadowing by continuous methods", 8(1), pp.29~38 (2002)
  8. "Orbital and weak shadowing properties", 9(2), pp.287~308 (2003)
  9. "Diffeomorphism with weak shadowing", 168(1), pp.57~75 (2001)

관련 논문AI추천

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