Chaos in vibroimpact systems with one degree of freedom in a neighborhood of chatter generation: II
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- Kryzhevich, S.G. Diff Equat (2011) 47: 29. doi:10.1134/S0012266111010046
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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.