Equivalent Mathematical Representation of Second-Order Damped, Driven Nonlinear Oscillators

Table 1

Estimated RMSE values computed on the time interval of 0≤𝑡≤50 with 𝜔_𝑓=1 and 𝜈=0.01.

Oscillator	𝑥0=1/2		𝑥0=1
	𝑄=0.1	𝑄=1	𝑄=0.1	𝑄=1
Cubic-quintic duffing oscillator with parameter values of	RMSE	RMSE	RMSE	RMSE
𝐴=1, 𝐵=0.1, 𝐺=0.1, 𝜎=2.1, 𝜐=30	0.0600	2.2148	0.0967	0.1147
𝐴=10, 𝐵=10, 𝐺=10, 𝜎=0.915, 𝜐=−350.4	0.0121	0.0270	0.2948	0.0530
Pendulum oscillator with parameter values of
𝑎=0.1, 𝑏=−5, 𝜎=0.8, 𝜐=−50	0	0	0.00001	0.00001
𝑎=5, 𝑏=−1, 𝜎=0.8, 𝜐=−50	0	0	0.0009	0.0008