ABSTRACT
In this subsection, the relation of excitation amplitude versus maximal amplitude of one’s response and the effect of IFM are illustrated and shown. From Figure 2, we can find that: (i) As the excitation amplitude increases, the stable vibration amplitude of one’s response slightly increases but change is not evident. (ii) When one’s experiences have more and more influence on his/her present and future life, the vibration amplitude becomes bigger and bigger under the same external events. (iii) When IFM λ = 0.7, the model system first presents
quasiperiodic motion, multiple solutions, and then develops into a stable response branch with increasing excitation amplitude. That is, when one’s past experiences have a moderate influence on his/her present and future life and the excitation amplitude is smaller, one’s response to external events will present a swing. The corresponding saddle-node points are N1(q ≈ 0.5919) and N2(0.6856). (iv) All the present analytically stable solutions match well with the numerical ones.
