Controlling hyperchaos in the nonlinear three-wave coupling

被引：0
|
作者：
Chen Hong [1 ,2 ]
Wang Lu [2 ]
Feng XiuQin [2 ]
机构：
[1] ChaoYang Radio & TV Univ, Chao Yang, Peoples R China
[2] ChangChun Univ Sci & Technol, Dept Phys, Changchun, Peoples R China
来源：
NONLINEAR OPTICS: TECHNOLOGIES AND APPLICATIONS | 2008年 / 6839卷
关键词：
three wave coupling; Lyapunov exponents; controlling hyperchaos;
D O I：
暂无
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The hyperchaotic orbits in the nonlinear three-wave coupling can be controlled by applying a small control wave. For a given set of linear frequency mismatch and growth-damping parameters, periodic orbit can be achieved by adjusting the amplitude of the control wave. The range of the amplitude of the control wave is determined by calculating the Lyapunov exponent of the three-wave coupling system. Numerical simulations show that the period number differs on the account of the amplitude of the control wave. Increasing the amplitude of the control wave from 0, the hyperchaotic state of the three-wave coupling system results in conversion to periodic 4, subsequently it is converted into period 2, and then into period 1.
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页数：6
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