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| A New Chaotic System Analysis and Synchronization Control |
| ZHOU Qunli1,2, SONG Quanjun2, PAN Hongqing2,3
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1. Institute of Electrical and Automation, Wuhu Vocational Technical University, Wuhu 241006, China;
2. Hefei Institute of Intelligent Machines, Chinese Academy of Science, Hefei 230031, China;
3. Anhui Ganba Electric Appliance Co, Ltd, Hefei 230088, China |
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Abstract In order to enrich the chaotic system model, a four-dimensional hyperchaotic system is constructed based on the Chen chaotic system. By analyzing the dissipation, equilibrium points, stability, sensitivity to initial values, bifurcation diagram, Lyapunov exponent spectra, LE dimension, power spectra and poincaré mapping of the new chaotic system, the rich and complex dynamic characteristics of the new chaotic system are revealed. In order to further enhance the security of information in secure communication, the new chaotic system and Qi hyperchaotic system are synchronized by using the transform modified function projective synchronization method, and a synchronization controller is designed to realize fast synchronization between hyperchaotic systems with different structures. The theoretical analysis and simulation results are consistent. Compared with the adaptive synchronous controller, the time required for the drive system and the response system to achieve synchronization is obviously shortened, which reflects the superiority of the method proposed in this paper.
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Received: 29 November 2023
Published: 09 October 2025
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