New four-dimensional chaotic system with hidden attractor and multi-channel synchronization
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School of Physics and Electronic Information Engineering, Ningxia Normal University,Guyuan 756000, China

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O415.5;TN918

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    Abstract:

    In order to solve the problem of low synchronization efficiency in chaotic multi-channel communication, a new four-dimensional super-chaotic system based on the classical Lorenz chaotic system was proposed, and its potential application in secure communication was explored by analyzing its chaotic characteristics in detail. First, the dynamical behavior was analyzed by phase diagram, Lyapunov exponent spectrum, bifurcation diagram, Poincare section diagram, and complexity method. Then, the numerical analysis results were verified by Multisim circuit simulation. Finally, a multi-channel synchronization control scheme was designed using the displacement projection method. The research results show that the new four-dimensional super-chaotic system has complex dynamic behavior and can generate hidden attractors under different initial conditions. The circuit simulation results are consistent with the numerical analysis, and the multi-channel error system has good chaotic characteristics. This indicates that the system has high reliability and flexibility, laying a good foundation for studying chaotic systems in the field of information security.

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  • Received:
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  • Online: November 28,2024
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