A Dynamical Analysis of Supply Chain Systems Under a Dynamic Game Framework Considering Green Technology Innovation

A dynamic model of a green supply chain, comprising two manufacturers incorporating green technology innovation and one product component supplier, was constructed based on a gradient adjustment mechanism. The dynamic behavior of the system was analyzed through stability analysis of equilibrium points and bifurcation conditions, using parameter continuation methods. One-dimensional and two-dimensional bifurcation diagrams, along with the maximal Lyapunov exponent, were employed to investigate the dynamics. The impact of green technology innovation adjustment speed on supply chain stability was also discussed. The results indicate that a reasonably set adjustment speed can promote long-term stable operation of the green supply chain for manufacturers, while excessive speed can induce intermittent chaos, weakening the resilience of the system and challenging theoretical stability. Multiple periodic transitions coexist under different bifurcation scenarios. The attractors and their basins of attraction were found to vary with changes in the adjustment speed. Border crises were shown to cause grazing interactions between chaotic attractors and the boundaries of adjacent basins, eventually leading to the disappearance of chaotic attractors. These findings help green manufacturers avoid chaos and reduce potential losses under vaious market conditions. The novelty of this study lies in integrating the dynamic adjustment mechanism of green technology innovation with nonlinear dynamics analysis, revealing the complex relationship between stability and chaotic evolution in green supply chain systems, and providing theoretical guidance for adjusting green technology innovation strategies.