Lyapunov's Exponents for nonsmooth Dynamics with Impacts: Stability Analysis of the Rocking Block

@article{Ageno2005LyapunovsEF,
  title={Lyapunov's Exponents for nonsmooth Dynamics with Impacts: Stability Analysis of the Rocking Block},
  author={Alessio Ageno and Anna Sinopoli},
  journal={I. J. Bifurcation and Chaos},
  year={2005},
  volume={15},
  pages={2015-2039}
}
The plane dynamics of a rigid block simply supported on a harmonically moving rigid ground is a problem which still needs investigating, although the matter has been the subject of much research since the last century. Unilateral contacts, Coulomb friction and impacts make the system hybrid as it reveals a mixed continuous and discontinuous nature. Thus, stability analysis requires the extension and adaptation of concepts with regard to variational-perturbative procedures. In particular… CONTINUE READING