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Bifurcations of phase portraits of pendulum with vibrating suspension point
journal contribution
posted on 2016-12-14, 14:56 authored by Anatoly NeishtadtAnatoly Neishtadt, K. ShengWe 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.
History
School
- Science
Department
- Mathematical Sciences
Published in
Communications in Nonlinear Science and Numerical SimulationVolume
47Pages
71–80Citation
NEISHTADT, 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.Publisher
© ElsevierVersion
- AM (Accepted Manuscript)
Publisher statement
This 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/Acceptance date
2016-11-03Publication date
2016-11-12Copyright date
2017Notes
This 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.ISSN
1007-5704Publisher version
Language
- en
