Articles | Volume 4, issue 2
Nonlin. Processes Geophys., 4, 63–69, 1997
https://doi.org/10.5194/npg-4-63-1997
Nonlin. Processes Geophys., 4, 63–69, 1997
https://doi.org/10.5194/npg-4-63-1997

  30 Jun 1997

30 Jun 1997

Reduction of Dietrich-Ruina attractors to unimodal maps

S. Shkoller1 and J.-B. Minster2 S. Shkoller and J.-B. Minster
  • 1Center for Nonlinear Studies MS-B258, Los Alamos National Laboratory, Los Alamos, NM 87545
  • 2Institute of Geophysics and Planetary Physics, University of California at San Diego, La Jolia, CA 92093-0225

Abstract. We present a geometric analysis of a quasi-static single degree of freedom elastic slider with a state and rate dependent friction law. In particular, we examine and characterize the regime of chaotic motions displayed by the Dieterich-Ruina model. We do so by numerically reducing the chaotic attractors to a family of unimodal maps and discuss why this suggests complex behaviour in the dynamical system.