Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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GEOMETRIC LORENZ ATTRACTOR AND ORBITAL SHADOWING PROPERTY

  • Received : 2015.03.30
  • Published : 2016.03.31
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Abstract

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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References

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  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