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Complexity
Volume 2017, Article ID 7520590, 6 pages
https://doi.org/10.1155/2017/7520590
Research Article

Analysis of a Generalized Lorenz–Stenflo Equation

1College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China
2Mathematical Postdoctoral Station, College of Mathematics and Statistics, Southwest University, Chongqing 400716, China
3Information Office, Chongqing Technology and Business University, Chongqing 400067, China

Correspondence should be addressed to Rui Chen; moc.qq@5386779721

Received 20 September 2017; Accepted 26 November 2017; Published 13 December 2017

Academic Editor: Giacomo Innocenti

Copyright © 2017 Fuchen Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Although the globally attractive sets of a hyperchaotic system have important applications in the fields of engineering, science, and technology, it is often a difficult task for the researchers to obtain the globally attractive set of the hyperchaotic systems due to the complexity of the hyperchaotic systems. Therefore, we will study the globally attractive set of a generalized hyperchaotic Lorenz–Stenflo system describing the evolution of finite amplitude acoustic gravity waves in a rotating atmosphere in this paper. Based on Lyapunov-like functional approach combining some simple inequalities, we derive the globally attractive set of this system with its parameters. The effectiveness of the proposed methods is illustrated via numerical examples.