Dynamics of the Nearly Parametric Pendulum

Details Dynamics of the Nearly Parametric Pendulum Dynamics of the Nearly Parametric Pendulum

2008-03-11

arxiv.org/abs/0803.1662v3

Mathematics

Dynamical Systems

7 pages, 5 figures

Scientific paper

10.1016/j.ijnonlinmec.2010.11.00

Dynamically stable periodic rotations of a driven pendulum provide a unique mechanism for generating a uniform rotation from bounded excitations. This paper studies the effects of a small ellipticity of the driving, perturbing the classical parametric pendulum. The first finding is that the region in the parameter plane of amplitude and frequency of excitation where rotations are possible increases with the ellipticity. Second, the resonance tongues, which are the most characteristic feature of the classical bifurcation scenario of a parametrically driven pendulum, merge into a single region of instability.

Affiliated with

Also associated with

No associations

Rating

Dynamics of the Nearly Parametric Pendulum does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dynamics of the Nearly Parametric Pendulum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of the Nearly Parametric Pendulum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-368859