... the Poincaré map wherein the zero velocity crossing from positive to negative is considered as the Poincaré section. The fundamental frequency of the coupled motion and its harmonics are obtained from the Fast Fourier Transform (FFT) of the time responses. A bifurcation study is conducted to identify...

... of the discrete one-parameter family of maps, which are determined by the Poincaré map of the proposed model, and the main results indicate that under certain conditions, a stable or unstable interior periodic solution could be generated through transcritical, pitchfork, and backward bifurcations. A biphasic...

... to periodic. Therefore, a ratio of NPP to n , the total number generated for the Poincaré map, is introduced to describe the characteristics of the system. This ratio, designated by γ , is defined as the periodicity ratio by which the dynamic characteristics of the system can be described...