Computer Simulation Analysis of a New Hyperchaotic Financial System

At the end of the 19th century, the French mathematician Henry Poincaré laid the foundation of chaos theory. He discovered the existence of homoclinic orbits and heteroclinic orbits from the dynamic phenomena displayed by the dynamic system, and discovered chaos for the first time. The chaotic financial system is to apply chaos to the financial field, so as to have a better understanding of finance, so as to observe financial trends and avoid financial risks. This paper discusses the chaos control, chaos synchronization, and more complex synchronization and anti-synchronization coexistence issues in a class of fractional-order chaotic financial systems. For the stability of the fractional order chaotic financial system, this paper generalizes the integer order stability theorem and applies it to the hyperchaotic financial system.