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Image of Journal of Applied Nonlinear Dynamics
ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Doubling the Lorenz Attractor via Coupling

Journal of Applied Nonlinear Dynamics 12(2) (2023) 273--284 | DOI:10.5890/JAND.2023.06.006

Mehmet Onur Fen

Department of Mathematics, TED University, 06420 Ankara, Turkey

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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.

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