Research Article

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

Figure 9

Poincarรฉ section of the Duffing Resonator (a) and the van der Pol oscillator (b) with the parameters used in Figure 1. The frequency ฮฉ is equal to 1.01 where six branches of the frequency response curve are expected and the initial conditions for transient analysis are ๐‘ฅ 1 ( 0 ) = 1 . 0 5 7 0 3 , ฬ‡ ๐‘ฅ 1 ( 0 ) = 0 , ๐‘ฅ 2 ( 0 ) = 0 . 1 1 7 2 7 , ฬ‡ ๐‘ฅ 2 ( 0 ) = 0 with other parameters are ๐‘ 1 = ๐‘ 2 = 0 . 1 , ๐‘˜ 3 = 1 , and ๐‘˜ ๐‘ = 5 .
248328.fig.009a
(a)
248328.fig.009b
(b)