Accurate Solutions of Conservative Nonlinear Oscillators by the Enhanced Cubication Method

Figure 4

Amplitude-time response curves of a nonlinear oscillator with an irrational restoring force for which 𝛼₁=1, 𝛼₂=1/2, 𝛼₃=1, 𝜆₁=1, and 𝜆₂=−1 with a fitting parameter value of 𝜎=1.03875. Here, the red dashed line, the black dots, and the green solid line represent the enhance cubication solution, Senator Bapat perturbation solution, and the numerical integration solution of (23), respectively.