[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2016.53.2.581

GEOMETRIC LORENZ ATTRACTOR AND ORBITAL SHADOWING PROPERTY

Sessary, Mohammad Reza Bagherzad (Department Mathematics, Cungnam National University)
Lee, Keonhee (Department of Mathematics, Cungnam National University)

Publication Information

Bulletin of the Korean Mathematical Society / v.53, no.2, 2016 , pp. 581-588 More about this Journal

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;

Citations & Related Records

Reference

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