대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제15권3호
  • /
  • Pages.549-553
  • /
  • 2000
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

$\omega$-LIMIT SETS FOR MAPS OF THE CIRCLE

  • 발행 : 2000.09.01
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초록

For a continuous map of the circle to itself, we give necessary and sufficient conditions for the $\omega$-limit set of each nonwandering point to be minimal.

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참고문헌

  1. Bull. Korean Math. Soc. v.32 Relations between nonwandering points and turning points on the circle J. S. Bae;S. H. Cho;S. K. Yang
  2. Erg. Th. & Dynam. sys. v.3 Homoclinic and nonwandering points for maps of the circle L. Block;E. Coven;I. Mulvey;Z. Nitecki
  3. Erg. Th. & Dynam. sys. v.6 ω-limit sets for maps of the interval L. Block;E. M. Coven
  4. Sets of almost periodic points of continuous self-map of the interval J. C. Xiong
  5. Erg. Th. & Dynam. sys. v.8 The attracting center of a continuous self-map of the interval J. C. Xiong
  6. The attracting centre of a map on the circle S. K. Yang;K. J. Min