Share Email Print
cover

Proceedings Paper

Controlling hyperchaos in nonlinear three-wave coupling
Author(s): Hong Chen; Lu Wang; XiuQin Feng
Format Member Price Non-Member Price
PDF $14.40 $18.00

Paper Abstract

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.

Paper Details

Date Published: 7 February 2008
PDF: 6 pages
Proc. SPIE 6839, Nonlinear Optics: Technologies and Applications, 683927 (7 February 2008); doi: 10.1117/12.757756
Show Author Affiliations
Hong Chen, Chao Yang Radio and TV Univ. (China)
ChangChun Univ. of Science and Technology (China)
Lu Wang, ChangChun Univ. of Science and Technology (China)
XiuQin Feng, ChangChun Univ. of Science and Technology (China)


Published in SPIE Proceedings Vol. 6839:
Nonlinear Optics: Technologies and Applications
Yiping Cui; Qihuang Gong; Yuen-Ron Shen, Editor(s)

© SPIE. Terms of Use
Back to Top