title: Synchronous rotations in parametrically excited pendula.
abstract: In this work, we provide an analytic justification for the existence of a synchronously rotating state in a Kapitsa pendulum, i.e., a pendulum where the base is subjected to vibration. Qualitative arguments as well as mathematical calculations are presented to demonstrate the existence of this state. An approximate recipe for determining the basin of attraction is also given. This theory is used to explain the motion of a popular but intriguing toy called devil's stick.
authors.affiliation: Department of Physics, Indian Institute of Technology Kanpur, NH-91, Kalyanpur, Kanpur 208016, Uttar Pradesh, India.
authors.forename: Shayak
authors.initials: S
authors.lastname: Bhattacharjee