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First, the original system is transformed to an equivalent slow-coupled system using the fast\u2013slow analysis method. The stability of equilibrium points and the pitchfork bifurcation phenomena resulting from changes in parameters are analyzed. Specifically, the relationship between the number of coupling layers and the stable equilibrium points is explored. Subsequently, the necessary conditions for the occurrence of chaos, such as homoclinic bifurcation leading to horseshoe chaos, are derived using the Melnikov method. By integrating phase diagrams with the largest Lyapunov exponent, we analyzed the influence of various parameters on chaotic trajectories. 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