대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제53권2호
  • /
  • Pages.581-588
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  • 2016
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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GEOMETRIC LORENZ ATTRACTOR AND ORBITAL SHADOWING PROPERTY

  • 투고 : 2015.03.30
  • 발행 : 2016.03.31
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초록

Komuro [3] proved that geometric Lorentz attractor does not satisfy the shadowing property. In this paper we study the condition under which geometric Lorenz attractor has the orbital shadowing property that is weaker than the shadowing property.

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참고문헌

  1. V. Araujo and M. J. Pacifico, Three Dimensional Flow, Springer, 2010.
  2. J. Guckenheimer, A strange, strange attractor, The Hopf bifurcation theorem and its application, ed. by J. E Marsden and M.McCracken, Springer-Verlag 19 (1976), 368-381.
  3. M. Komuro, Lorenz attractors do not have the pseudo-orbit tracing property, J. Math. Soc. Japan 37 (1985), 489-514. https://doi.org/10.2969/jmsj/03730489
  4. R. F. Williams, Structure of Lorenz attractors, IHES Publ. Math. 50 (1979), 73-99. https://doi.org/10.1007/BF02684770