LAUSR

This work investigates the dynamical behaviors of the third-order chaotic oscillator with threshold controller as its nonlinear element. The system reveals several complex dynamics with the presence and absence of external excitation. For a specific set of control parameter values, the system exhibits three different routes, which include the regular period-doubling route, period-3 doubling to chaos, and three tori to chaos are realized with the aid of bifurcation and Lyapunov exponents. In particular, by tuning the values of the parameters, the coexistence of multiple attractors is also revealed. More interestingly, we uncovered strange nonchaotic attractors (SNA) in a single periodically forced system through an intermittency route. The presence of SNA behaviors is calculated by using several characterizing quantities such as Lyapunov exponent, Poincare section, singular-continuous spectrum analysis, and 0–1 test analysis. The performance of the system is investigated using the fixed-point analysis, numerical integration of mathematical model, and real-time experimental results.