Mathematical modelling, bifurcation analysis, circuit design and FPGA implementation of a 5D hyperchaotic weather fluctuation model with a line of equilibrium points

High-dimensional hyperchaotic systems are known to have several applications in engineering owing to their high complexity. This work reports the finding of a new 5D hyperchaotic weather fluctuation model, which is constructed by means of introducing two state feedback controllers in the 3D Vallis weather fluctuation model (1986). The new hyperchaotic system has a line of equilibrium points. Hence, it has hidden attractors. We carry out a detailed bifurcation analysis with standard tools such as bifurcation diagrams and Lyapunov exponents to study the intrinsic properties of the 5D weather fluctuation model with respect to changes in the system constants. Next, we design an electronic circuit of the 5D weather fluctuation model using MultiSim. The new 5D hyperchaotic weather fluctuation model is implemented herein by applying two one-step numerical methods, viz., forward Euler and trapezoidal rule. Experimental attractors for the 5D hyperchaotic model are shown from an oscilloscope.