Abstract
Stable forced oscillations near unstable equilibrium positions (hilltop oscillations) is under consideration. Three models of mechanical engineering systems with three, five, and n regular potential wells are analysed. The birth of period-1 hilltop oscillations is studied by using computation of the periodic solutions and their stability, bifurcation analysis, and a path-following method. Changing the amplitudes of harmonic excitation from zero it is found that period-1 stable hilltop oscillations has appeared near the bifurcation points where two period-1 branches, starting from the stable and unstable equilibrium positions, meet each other in the saddle-node (fold) bifurcation. The other mechanism of the birth of the stable hilltop oscillations is also explained by a saddle-node bifurcation, which creates 1-period branch itself, starting from an unstable equilibrium position.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
