71 citations · 129 across the 8 of their papers we have counts for
4 papers · 1 filter
Homoclinic, Subharmonic and Superharmonic Bifurcations for a Pendulum with Periodically Varying Length
Anton O. Belyakov, Alexander P. Seyranian
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 child's swing. Melnikov's anal…
How to twirl a hula-hoop
Alexander P. Seyranian, Anton O. Belyakov
We consider twirling of a hula-hoop when the waist of a sportsman moves along an elliptic trajectory close to a circle. For the case of the circular trajectory, two families of exa…
On rotational solutions for elliptically excited pendulum
Anton O. Belyakov
The author considers the planar rotational motion of the mathematical pendulum with its pivot oscillating both vertically and horizontally, so the trajectory of the pivot is an ell…
On Nonlinear Dynamics of the Pendulum with Periodically Varying Length
Anton O. Belyakov, Alexander P. Seyranian
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…