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

Figure 9

Amplitude-time, phase plane, and Morlet CWT diagrams for system parameter values of𝐴=1, 𝑎₀=1, 𝜈=0.05, 𝜅₀=0.1, 𝑄₀=0.41, 𝑥̇₁₀=1, and 𝜔_𝑓=2.5. Here, the black, the purple, and the red lines represent, respectively, the numerical integration solutions of (41), (42), and (45). Similarly, in (b) the black solid line and the red dots represent the numerical integration solutions computed respectively, from (41) and (42).

(a)

(b)

(c)