Complex Dynamical Behaviors of Lorenz-Stenflo Equations

Fuchen Zhang and Min Xiao
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Fuchen Zhang: Chongqing Key Laboratory of Social Economy and Applied Statistics, College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China
Min Xiao: College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

Mathematics, 2019, vol. 7, issue 6, 1-9

Abstract: A mathematical chaos model for the dynamical behaviors of atmospheric acoustic-gravity waves is considered in this paper. Boundedness and globally attractive sets of this chaos model are studied by means of the generalized Lyapunov function method. The innovation of this paper is that it not only proves this system is globally bounded but also provides a series of global attraction sets of this system. The rate of trajectories entering from the exterior of the trapping domain to its interior is also obtained. Finally, the detailed numerical simulations are carried out to justify theoretical results. The results in this study can be used to study chaos control and chaos synchronization of this chaos system.

Keywords: Lorenz-Stenflo system; generalized Lyapunov function; nonlinear dynamics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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