A new fractional order chaotic system with 4-scroll chaotic attractors and its adaptive control

This paper investigates the coupling of three nonlinear fractional differential equations, which analyzes the dynamic characteristics of the system and uses the modified DTM method to solve the nonlinear fractional differential equation of it. We use the method of `0-1 test' to verify chaotic of the system, compute Lyapunov exponents to verify the regimes of chaotic dynamics, and design a nonlinear controller to influence the trajectory of the system.