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| A Novel Laser Complex Chaotic System and Its Point Multiplication Function Projection Synchronization |
| FANG Jie1,2, JIANG Minghao1, AN Xiaoyu1, DENG Wei1,2
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1. College of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China;
2. Henan Key Lab of Information-based Electrical Appliances, Zhengzhou 450002, China |
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Abstract This paper proposes a new laser complex chaotic system and a new point multiplication function projection synchronization method. Firstly, a new laser complex chaotic system is constructed on the basis of the 4D laser real chaotic system. Based on the conventional dynamic analysis method and MATLAB simulation software, the basic dynamic characteristics of the system such as dissipation, equilibrium point, Lyapunov exponent spectrum, phase diagram and bifurcation diagram are studied. The results show that the new chaotic system is rich in dynamics and has bow-tie chaotic and hyperchaotic attractors under certain parameters. Secondly, according to the vector dot product operation, a new point multiplication function projection synchronization method is defined. Based on the sliding mode control method, the bow-tie laser complex chaotic system can realize point multiplication function projection synchronization according to the function scaling factor. Numerical simulations verify the correctness and validity of the theoretical analysis.
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Received: 15 April 2020
Published: 28 December 2020
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