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Title: Bifurcations of phase portraits of pendulum with vibrating suspension point
Authors: Neishtadt, Anatoly
Sheng, K.
Keywords: Pendulum with vibrating suspension point
Phase portraits
Issue Date: 2016
Publisher: © Elsevier
Citation: 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.
Abstract: 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.
Description: 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.
Version: Accepted for publication
DOI: 10.1016/j.cnsns.2016.11.003
URI: https://dspace.lboro.ac.uk/2134/23442
Publisher Link: http://dx.doi.org/10.1016/j.cnsns.2016.11.003
ISSN: 1007-5704
Appears in Collections:Published Articles (Maths)

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