# GEOMETRIC LORENZ ATTRACTOR AND ORBITAL SHADOWING PROPERTY

• Lee, Keonhee (Department of Mathematics, Cungnam National University)
• Published : 2016.03.31
• 72 12

#### 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.

#### Keywords

geometric Lorenz model;strange attractor;orbital shadowing property

#### Acknowledgement

Supported by : National Research Foundation (NRF)

#### References

1. V. Araujo and M. J. Pacifico, Three Dimensional Flow, Springer, 2010.
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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