Hidden Attractors and Dynamics of a General Autonomous van der Pol-Duffing Oscillator

作者：Zhao, Huitao; Lin, Yiping^*; Dai, Yunxian

来源：International Journal of Bifurcation and Chaos, 2014, 24(6): 1450080.

DOI：10.1142/S0218127414500801

• van der Pol-Duffing oscillator
• Hopf bifurcation
• chaotic attractor
• hidden attractor

In this paper, a general autonomous van der Pol-Duffing oscillator is studied. Several issues, such as periodic bifurcations and the dynamical structures of the system are investigated either analytically or numerically. Especially, a phenomenon of hidden attractors is noticed and an algorithm for the location of hidden attractors is given. The obtained results show that hidden attractors exist around chaotic attractors.

• 出版日期2014-6
• 单位周口师范学院; 昆明理工大学