Research on complex dynamic behavior control of supply chain finance nonlinear system based on fractional differential operators

Supply chain management is a kind of behavior for enterprises to create core competitiveness in a complex competitive environment, especially for supply chain finance, which is a typical complex system with dynamic, open, and emergent non-linear characteristics in structure, environment, and behavior. For fractional order non-linear multi-agent systems, the event trigger control protocol is studied, and an event based on the threshold function of decreasing time is designed. According to the properties of the fractional linear differential equations, the consistency criterion is obtained, and the Zeno phenomenon is effectively avoided. Chaos exists in fractional-order electronic oscillators with order lower than 4th order, and the lowest order of chaos in the fractional-order system is only 2.3 orders. The research shows that under the appropriate parameter adjustment, chaos exists in the fractional-order vanderPol oscillator with order less than 4th order, and the lowest order of chaos in the fractional-order system is 2.7. Published under license by AIP Publishing.