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Publications in Scientific Journals:

A. Belyakov, A.P. Seyranian:
"Homoclinic, subharmonic, and superharmonic bifurcations for a pendulum with periodically varying length";
Nonlinear Dynamics, 77 (2014), 4; 1617 - 1627.



English abstract:
Dynamic behavior of a weightless rod with a point mass sliding along the rod axis according to periodic law is studied. This is the simplest model of childīs swing. Melnikovīs analysis is carried out to find bifurcations of homoclinic, subharmonic oscillatory, and subharmonic rotational orbits. For the analysis of superharmonic rotational orbits, the averaging method is used and stability of obtained approximate solution is checked. The analytical results are compared with numerical simulation results.

Keywords:
Homoclinic bifurcation · Rotational orbits · Averaging method · Parametric excitation


"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s11071-014-1404-3

Electronic version of the publication:
http://publik.tuwien.ac.at/files/PubDat_233305.pdf


Created from the Publication Database of the Vienna University of Technology.