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

Table 2

Estimated values of the fitting parameter 𝜎 and 𝜐 at different exponent values of 𝑚. Here, we assume that 𝜔_𝑛=2, ℎ=0.1, 𝜈=0.025, 𝑄=0.1 and consider the following interval values of the initial oscillation amplitude 0.1≤𝐴≤10, with driving frequency values on 0.1≤𝜔_𝑓≤3 to best fit the values of 𝜎 and 𝜐.

Exponent value	Fitting Parameter value	Fitting Parameter value
𝑚	𝜎	𝜐
3/5	−1.1	50
2/3	−0.95	50
4/3	−1.177	−50
5/3	−0.95	5
7/5	−0.95	5
10/7	0.9	1