Characteristics of a laser system in complex field and its complex self-synchronization

Chaotic dynamics play a vital role in real secure communication and image encryption. This paper focuses on the characteristic analysis and complex self-synchronization (CSS) of a laser system in complex field. Its dynamical features are described by Lyapunov exponent spectrum, bifurcation diagram, phase portrait and the basin of attraction. The result of the investigation shows some attractive dynamical behaviors such as two different bifurcation routes, coexistence of axis-symmetric attractors, intermittent chaos and infinite transition of period and sink. In particular, two chaotic attractors with different topological structures are implemented on digital signal processor platform. Finally, the CSS is defined, and a novel scheme is proposed to achieve homogeneous and heterogeneous CSS of the laser complex-variable chaotic systems in complex field. The researches provide basis for the laser system in real applications.