Transient and Steady-State Responses of an Asymmetric Nonlinear Oscillator

Figure 5

System nonlinear dynamic behavior for parameter values of 𝜎_𝑒=0.497, 𝐹=0.1, 𝜀=0.02, 𝑥₀=0. Here, (a) and (c) show the amplitude versus time response curves for which the solid black and the dashed black lines represent the numerical and the EBM solutions, respectively; (b) illustrates the percentage overshoot versus the driving frequency for damping values of 𝜈=0.01, 0.05, and 0.1; (d) and (e) exhibit the influence of the transient and driving frequencies on the nonlinear system motion by using the Continuous Wavelet Transform.