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GEOMETRIC LORENZ ATTRACTOR AND ORBITAL SHADOWING PROPERTY
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 Title & Authors
GEOMETRIC LORENZ ATTRACTOR AND ORBITAL SHADOWING PROPERTY
Sessary, Mohammad Reza Bagherzad; Lee, Keonhee;
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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.
 Keywords
geometric Lorenz model;strange attractor;orbital shadowing property;
 Language
English
 Cited by
 References
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. crossref(new window)

4.
R. F. Williams, Structure of Lorenz attractors, IHES Publ. Math. 50 (1979), 73-99. crossref(new window)