Controlling hyperchaos in nonlinear three-wave coupling

Hong Chen; Lu Wang; XiuQin Feng

doi:10.1117/12.757756

7 February 2008 Controlling hyperchaos in nonlinear three-wave coupling

Hong Chen, Lu Wang, XiuQin Feng

Proceedings Volume 6839, Nonlinear Optics: Technologies and Applications; 683927 (2008) https://doi.org/10.1117/12.757756
Event: Photonics Asia 2007, 2007, Beijing, China

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.

Citation Download Citation

Hong Chen, Lu Wang, and XiuQin Feng "Controlling hyperchaos in nonlinear three-wave coupling", Proc. SPIE 6839, Nonlinear Optics: Technologies and Applications, 683927 (7 February 2008); https://doi.org/10.1117/12.757756

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