Doubling the Lorenz Attractor via Coupling

Fen M. O.

JOURNAL OF APPLIED NONLINEAR DYNAMICS, vol.12, no.2, pp.273-284, 2023 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 2
  • Publication Date: 2023
  • Doi Number: 10.5890/jand.2023.06.006
  • Journal Name: JOURNAL OF APPLIED NONLINEAR DYNAMICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.273-284
  • Keywords: Multiple chaotic attractors, Lorenz system, Unidirectional coupling, Sensitivity
  • TED University Affiliated: Yes

Abstract

We investigate unidirectionally coupled Lorenz systems in which the drive possesses a chaotic attractor and the response admits two stable equilibrium points in the absence of the driving. It is found that double chaotic attractors coexist in the dynamics. The approach is applicable for chains of coupled Lorenz systems. The existence of four as well as eight chaotic attractors are also demonstrated. Additionally, the time evolutions of the maximum Lyapunov characteristic exponents of the systems under consideration are discussed. This is the first time in the literature that multiple chaotic attractors are obtained for coupled Lorenz systems