Abstract

Slow variables are added to account for the order difference between the excitation frequency and the natural frequency in order to turn this model into a fast-slow model. Under various excitation frequencies and amplitudes, the dynamic equations are obtained. When the equilibrium point is unstable, bifurcation theory is used to analyze bifurcation action, and the conditions for creating a folding bifurcation are extracted. The effect of excitation frequency and amplitude on dynamic behavior is investigated numerically using the curve of the equilibrium point, transformed phase portrait, and time course.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.