activity
20012011
most citedChaotic vibrations in a regenerative cutting process

95 citations · 187 across the 4 of their papers we have counts for

collaborators

5 papers

math.DS2011

Through the Looking-Glass of the Grazing Bifurcation: Part I - Theoretical framework

James Ing, Sergey Kryzhevich, Marian Wiercigroch

It is well-known for vibro-impact systems that the existence of a periodic solution with a low-velocity impact (so-called grazing) may yield complex behavior of the solutions. In t…

math.DS2011★ 35 cited

Topology of Vibro-Impact Systems in the Neighborhood of Grazing

Sergey Kryzhevich, Marian Wiercigroch

The grazing bifurcation is considered for the Newtonian model of vibro-impact systems. A brief review on the conditions, sufficient for existence of a grazing family of periodic so…

math.DS2008★ 57 cited

Dynamics of the Nearly Parametric Pendulum

B. Horton, J. Sieber, J. M. T. Thompson +1

Dynamically stable periodic rotations of a driven pendulum provide a unique mechanism for generating a uniform rotation from bounded excitations. This paper studies the effects of…

nlin.CD2006

Phase lock and rotational motion of a parametric pendulum

Grzegorz Litak, Marek Borowiec, Marian Wiercigroch

The effect of noise on a rotational mode of a pendulum excited kinematically in vertical direction has been analyzed. We have shown that for a weak noise transitions from oscillati…

nlin.CD2001★ 95 cited

Chaotic vibrations in a regenerative cutting process

Grzegorz Litak

We have analyzed vibrations generated in an orthogonal cutting process. Using a simple one degree of freedom model of the regenerative cutting we have observed the complex behaviou…