Periodicity of the Lorenz-Stenflo equations

Junho Park, Hyunho Lee, Ye Lim Jeon, Jong Jin Baik

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

In this paper, we investigate periodic behaviors of the Lorenz-Stenflo equations in wide ranges of parameters. Regimes of periodic solutions and chaotic solutions are computed and distinguished by local maximum values of a dynamic variable Z. Complex behaviors of the periodic solutions are observed inside a regime of the chaotic solutions which is closed and surrounded by a regime of the periodic solutions where a feature of disconnected bifurcations is observed. It is found that not only a regime of fixed solutions but also regimes of solutions with period 1 and 2 remain for sufficiently large parameters.

Original languageEnglish
Article number065201
Journal Physica Scripta
Volume90
Issue number6
DOIs
Publication statusPublished - 21 Apr 2015
Externally publishedYes

Keywords

  • chaos
  • Lorenz-Stenflo equations
  • nonlinear dynamics
  • periodicity

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics

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