Geometric Lorenz attractor and orbital shadowing property

Mohammad Reza Bagherzad Sessary; Keonhee Lee

doi:10.4134/BKMS.2016.53.2.581

Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

QR
Code

Article

HOME

ALL ARTICLES

View

Bull. Korean Math. Soc. 2016; 53(2): 581-588

Printed March 31, 2016

https://doi.org/10.4134/BKMS.2016.53.2.581

Geometric Lorenz attractor and orbital shadowing property

Mohammad Reza Bagherzad Sessary and Keonhee Lee

Cungnam National University, Cungnam National University

Abstract

Go to

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.

Keywords: geometric Lorenz model, strange attractor, orbital shadowing property

MSC numbers: Primary 37C50, 37D45, 37D50; Secondary 34C28