DOI

We study the rectilinear motion of a mass point with impacts against a stopper. The motion between the impacts is described by a second-order ordinary differential equation with a parameter. The impact recovery coefficient also depends on the parameter of the vibroimpact system. We describe a bifurcation that leads to the generation of a Smale horseshoe in a parametric neighborhood of the chatter phenomenon. We prove the existence of an invariant set described by symbolic dynamics.

Язык оригиналаанглийский
Страницы (с-по)29-37
Число страниц9
ЖурналDifferential Equations
Том47
Номер выпуска1
DOI
СостояниеОпубликовано - 1 янв 2011

    Предметные области Scopus

  • Математика (все)
  • Анализ

ID: 36994582