Abstract
In this paper, a new forced process feedback nonlinear autoregressive (FPFNAR) model is proposed. The dynamical behaviour of the proposed model is considered for different levels of noise intensity. The existence and stability of the equilibria of the deterministic system are studied. The modified straight-line stabilization method is used to control chaos. Numerical simulations are employed to show the model's complex dynamics by means of the largest Lyapunov exponents, bifurcations, fractal dimension, time series diagrams and phase portraits. The phenomenon of noise-induced intermittency near tangent bifurcation is discussed.