Abstract
A forced impact oscillator is coupled to a second freely moving oscillator with no amplitude constraint. The influence of the coupling strength and the external frequency is studied in detail. For intermediate coupling strength many of the long-period or chaotic motions are suppressed and replaced by short-period motions at least for not too high frequencies. Phase space trajectories are discussed for some characteristic examples.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Shaw, S.W., Holmes, P.: Phys. Rev. Lett.51, 623 (1983)
Holmes, P.: J. Sound Vibr.84, 173 (1982)
Hindmarsh, M.B., Jefferies, D.J.: J. Phys. A17, 1791 (1984)
Thompson, J.M.T., Bokaiar, A.R., Ghaftari, R.: MMA J. Appl. Math.31, 207 (1983)
Thompson, J.M.T.: Proc. R. Soc. London Ser. A387, 407 (1983)
Usher, A., Jefferies, D.J.: Phys. Lett.98A, 396 (1983)
Guckenheimer, J., Holmes, P.: Nonlinear oscillations, dynamical systems and bifurcations of vector fields. Berlin, Heidelberg, New York: Springer 1983
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Frosch, H., Büttner, H. Two coupled impact oscillators. Z. Physik B - Condensed Matter 58, 323–328 (1985). https://doi.org/10.1007/BF01303675
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01303675