Global dynamics for the simplified Lorenz system model

Fuchen Zhang and Yonglu Shu

Applied Mathematics and Computation, 2015, vol. 259, issue C, 53-60

Abstract: In this paper, the global attractive sets of the simplified Lorenz system are studied according to Lyapunov stability theory. The method for constructing the Lyapunov functions that applied to the former chaotic systems does not work for the simplified Lorenz system. We overcome this difficulty by adding a cross term to the Lyapunov functions of the simplified Lorenz system.

Keywords: Lorenz system; Attraction domain; Lyapunov stability; Hidden attractor; Numerical simulation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:53-60

DOI: 10.1016/j.amc.2015.01.122

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