Name: Extended f -orbits are approximated by orbits
Creator: Sawada, Ken
Keywords: Dynamical systems with hyperbolic behavior, diffeomorphism, closure of all f-orbits, extended f-orbits, basic sets, 58F10, axiom A and no cycle condition, 0101 mathematics, 16. Peace & justice, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Oct 1980 English Publisher:Cambridge University Press (CUP)Journal:Nagoya Mathematical Journal, volume 79, pages 33-45 (issn: 0027-7630, eissn: 2152-6842,

Authors: Sawada, Ken;

doi: 10.1017/s0027763000018912

Extended f-orbits are approximated by orbits

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Abstract

Let f be a Cr-diffeomorphism, r ≦ 1, on a compact differentiable manifold M with dim M ≧ 2. In [9] F. Takens introduced the concept of extended f-orbits and conjectured the following.

Keywords

Dynamical systems with hyperbolic behavior, diffeomorphism, closure of all f-orbits, extended f-orbits, basic sets, 58F10, axiom A and no cycle condition

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