Circuit simulation and synchronization realization of fourth-order hyperchaotic system
ZHOU Qunli
Abstract：To study the physical realizability of the newly constructed fourth-order hyperchaotic system,the system equations were transformed,and a circuit was built based on the Multisim software.The parameters of the components in the circuit were set,and the simulation results of the circuit were compared with the phase trajectory of the chaotic system.The comparison showed consistency between the two,proving the realizability of the hyperchaotic system.The synchronization problem of the proposed hyperchaotic system under known and unknown parameters was studied.The function projective synchronization and adaptive improved function projective synchronization methods were adopted respectively,and the corresponding synchronization controllers were designed.The effectiveness of the designed controllers was proved based on the Lyapunov stability theorem.At the same time,the correctness and effectiveness of the designed controllers were further verified through numerical simulation in Matlab.
Keywords：hyperchaotic systemcircuit simulationLyapunov stabilityfunctional projection synchronization
Publication Date：2025-11-30
Online Publishing Date：2025-12-12(First online date of this platform, not the publication date of the document)
Pages：8( 14-21 )