Analysis on topological properties of the Lorenz and the Chen attractors using GCM

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)2791-2796
Journal / PublicationInternational Journal of Bifurcation and Chaos
Issue number8
Publication statusPublished - Aug 2007


This letter reports a study on some topological properties of chaos using a generalized competitive mode (GCM). The Lorenz system and the Chen system are used as examples for comparison. It is shown that for typical parameter values used in the two systems, the Lorenz attractor has one pair of GCMs in competition, while the Chen attractor has two pairs of GCMs in competition. This explains why the two attractors are topologically different, and furthermore indicates that the Chen attractor is more complex than the Lorenz attractor from the dynamics point of view. © World Scientific Publishing Company.

Research Area(s)

  • Chaotic attractor, Chen system, GCM, Lorenz system