Controlling and synchronizing hyperchaos in degenerate optical parametric oscillator by mutual couple

Xiu Qin Feng; Ke Shen

doi:10.1117/12.572282

28 January 2005 Controlling and synchronizing hyperchaos in degenerate optical parametric oscillator by mutual couple

Xiu Qin Feng, Ke Shen

Proceedings Volume 5646, Nonlinear Optical Phenomena and Applications; (2005) https://doi.org/10.1117/12.572282
Event: Photonics Asia, 2004, Beijing, China

Abstract

Identical synchronization and inverse synchronization of chaos are two basic types of synchronization. In this paper, we present a scheme for identical synchronization and another scheme for inversed synchronization in two degenerate optical parametric oscillators (DOPOs) by mutual couple. For realistic values of the systems, we demonstrate two cases of results as follows. (1) Two independent hyperchaotic systems can go into inversed synchronized hyperchaotic oscillations by mutual couple when the coupling coefficient is in the range 0.12< ε<0.50, or 0.07< ε<0.098; (2) If the two DOPOs are mutually coupled and the coupling coefficient is in the range 0.098< ε<0.12 , they will be controlled to enter into periodic states directly and approach periodic synchronization. They will lose synchronization as the coupling coefficient is smaller than 0.07, but controlling hyperchaos can be realized when the coupling coefficient is near 0.01 and 0.053.

Citation Download Citation

Xiu Qin Feng and Ke Shen "Controlling and synchronizing hyperchaos in degenerate optical parametric oscillator by mutual couple", Proc. SPIE 5646, Nonlinear Optical Phenomena and Applications, (28 January 2005); https://doi.org/10.1117/12.572282

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