Complex Mixed-Mode Vibration Types Triggered by the Pitchfork Bifurcation Delay
in a Driven van der Pol-Duffing Oscillator
Xindong Ma,Yue Yu,Lifeng Wang
Abstract: The intent of this work is to explore the generation mechanism of four mixed-mode vibration types triggered by the pitchfork bifurcation delay phenomenon in a driven van der Pol-Duffing oscillator. The four mixed-mode vibration types can be named delayed sup-pitchfork/sup-Hopf type for Homoclinic connection, symmetric delayed sup-pitchfork/sup-Hopf type, point/point type for delayed sup-pitchfork and delayed suppitchfork/delayed Homoclinic type, respectively. Our study proves that the pitchfork bifurcation delay phenomenon deserves a prominent role in the occurrence of the four mixed-mode vibration types, which enriches the dynamical behaviors of the bifurcation delay phenomenon as well as the possible routes to mixed-mode vibrations.
原文链接：https://www.sciencedirect.com/science/article/pii/S0096300321006111?via%3Dihub
