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Geometric Lorenz attractor and orbital shadowing property
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Komuro \cite{Komuro} 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.
Abstract
Komuro \cite{Komuro} 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.
참고문헌 (4)
- V. Araujo, "Three Dimensional Flow" (2010), Springer
- J. Guckenheimer, "The Hopf bifurcation theorem and its application", pp.368~381 (1976), Springer-Verlag
- M. Komuro, "Lorenz attractors do not have the pseudo-orbit tracing property", J. Math. Soc. Japan, 37, pp.489~514 (1985)
- R. F. Williams, "Structure of Lorenz attractors", IHES Publ. Math, 50, pp.73~99 (1979)
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