Publications in Scientific Journals:
A. Belyakov, A.P. Seyranian, A Luongo:
"Dynamics of the Pendulum with Periodically Varying Length";
Physica D: Nonlinear Phenomena,
238
(2009),
16;
1589
- 1597.
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 pendulum with periodically varying length which is also treated as a simple model of a childīs swing. Asymptotic expressions for boundaries of instability domains near resonance frequencies are derived. Domains for oscillation, rotation, and oscillation-rotation motions in parameter space are found analytically and compared with a numerical study. Chaotic motions of the pendulum depending on problem parameters are investigated numerically.
Keywords:
Pendulum of variable length; Regular rotation; Tumbling chaos; Averaging method; Stability of limit cycle; Quasi-linear oscillatory system
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.physd.2009.04.015
Created from the Publication Database of the Vienna University of Technology.