Stability and Hopf bifurcation of a Nonlinear oscillator with multiple time-delays

► The effect of multiple time delays in a nonlinear oscillator is studied. ► Technical stability in Bogusz's sense is studied for finite time and is compared with Lyapunov's stability. ► Both the Bogusz's stability and Lyapunov stability criterion are useful in the design of the system. ► One can develop intelligent decision making system to assume the field of acceptable solutions.