Research Article

Nonlinear Dynamics of a Periodically Driven Duffing Resonator Coupled to a Van der Pol Oscillator

Figure 8

Bifurcation diagram showing the coordinate π‘₯ 1 (a) and π‘₯ 2 (b) of the PoincarΓ© section versus the amplitude of driving force. The frequency of driving force is 1.325 and the initial conditions are π‘₯ 1 ( 0 ) = 1 , Μ‡ π‘₯ 1 ( 0 ) = 0 , π‘₯ 2 ( 0 ) = 0 , Μ‡ π‘₯ 2 ( 0 ) = 0 with other parameters are 𝑐 1 = 𝑐 2 = 0 . 1 , π‘˜ 3 = 1 , and π‘˜ 𝑐 = 5 .
248328.fig.008a
(a)
248328.fig.008b
(b)