Homoclinic, subharmonic, and superharmonic bifurcations for a pendulum with periodically varying length

A qualitative investigation of the oscil

A qualitative investigation of the oscillations of a pendulum with a periodically varying length and a mathematical model of a swing

✍ A.A. Zevin; L.A. Filonenko 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 363 KB

The behaviour of the amplitude-frequency characteristics of families of periodic solutions, produced from the equilibrium position of a system, is established by a qualitative investigation of the equation of the oscillations of a pendulum, the length of which is an arbitrary periodic function of ti