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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1016/0370-2693(84)90809-8

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1573-269X

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Qualitative behaviors of the continuoustime chaot

Authors: Fuchen Zhang Xiaofeng Liao Guangyun Zhang
Publish Date: 2017/01/16
Volume: 88, Issue: 3, Pages: 1623-1629
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Abstract

In this paper a new Lorenzlike chaotic system describing the interaction of three resonantly coupled waves in plasma is studied Explicit ultimate boundedness and global attraction domain are derived according to stability theory of dynamical systems The innovation of the paper is that this paper not only proves this chaotic system is globally bounded for the parameters of this system but also gives a family of mathematical expressions of global exponential attractive sets for this system with respect to the parameters of this system Furthermore the exponential rate of the trajectories is also obtained Finally numerical localization of attractor is presentedThis work is supported by National Natural Science Foundation of China Grant Nos 11426047 11501064 the Basic and Advanced Research Project of CQCSTC Grant No cstc2014jcyjA00040 the Scientific and Technological Research Program of Chongqing Municipal Education Commission Grant No KJ1500605 the Research Fund of Chongqing Technology and Business University Grant No 20145611 China Postdoctoral Science Foundation Grant No 2016M590850 and the Program for University Innovation Team of Chongqing Grant No CXTDX201601026 We thank professors Min Xiao in the College of Automation Nanjing University of Posts and Telecommunications and Gaoxiang Yang at the Department of Mathematics and Statistics of Ankang University for their help with us The authors wish to thank the editors and reviewers for their conscientious reading of this paper and their numerous comments for improvement which were extremely useful and helpful in modifying the paper

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