TY - JOUR
TI - Bifurcation characteristics and bursting oscillation of Duffing-Van der Pol oscillator
AU - Wu Fengxia
AU - Li Zitian
JN - Thermal Science
PY - 2025
VL - 29
IS - 3
SP - 1849
EP - 1859
PT - Article
AB - In this paper, we study the bifurcation characteristics and bursting  oscillation of the Duffing-Van der Pol system with periodic excitation. Due  to the different frequency scales between the excitation frequency and the  natural frequency in the oscillator, when the periodic excitation changes  slowly with time, the system is considered as a slow subsystem, and when it  is fixed, the system is considered as a fast subsystem. We analyze the  bifurcation characteristics of the fast subsystem and use the slowly varying  parameter as the bifurcation parameter to show how the bursting oscillations  are generated. Furthermore, the phase diagram and time-history diagram of  fold-fold bursting oscillation, fold-subHopf bursting oscillation,  supHopf-supHopf bursting oscillation, and homoclinic-homoclinic bursting  oscillation are given by numerical simulation. Combined with the fig-ures,  it is found that these four kinds of bursting oscillations with bifurcation  delay phenomenon are symmetrical and further reveal the bifurcation  mechanisms of these four kinds of bursting oscillations.