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Bifurcations of phase portraits of pendulum with vibrating suspension point
journal contributionposted on 2016-12-14, 14:56 authored by Anatoly NeishtadtAnatoly Neishtadt, K. Sheng
We consider a simple pendulum whose suspension point undergoes fast vibrations in the plane of motion of the pendulum. The averaged over the fast vibrations system is a Hamiltonian system with one degree of freedom depending on two parameters. We give a complete description of bifurcations of phase portraits of this averaged system.
- Mathematical Sciences
Published inCommunications in Nonlinear Science and Numerical Simulation
CitationNEISHTADT, A. and SHENG, K., 2016. Bifurcations of phase portraits of pendulum with vibrating suspension point. Communications in Nonlinear Science and Numerical Simulation, 47, pp. 71–80.
- AM (Accepted Manuscript)
Publisher statementThis work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
NotesThis paper was accepted for publication in the journal Communications in Nonlinear Science and Numerical Simulation and the definitive published version is available at http://dx.doi.org/10.1016/j.cnsns.2016.11.003.