Nonlinear Processes in Geophysics
Nonlinear Processes in Geophysics
NPG
Articles | Volume 4, issue 2
Articles | Volume 4, issue 2
https://doi.org/10.5194/npg-4-63-1997
© Author(s) 1997. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
https://doi.org/10.5194/npg-4-63-1997
© Author(s) 1997. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
Articles | Volume 4, issue 2
30 Jun 1997
 | 30 Jun 1997

Reduction of Dietrich-Ruina attractors to unimodal maps

S. Shkoller and J.-B. Minster

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.

How to cite. Shkoller, S. and Minster, J.-B.: Reduction of Dietrich-Ruina attractors to unimodal maps, Nonlin. Processes Geophys., 4, 63–69, https://doi.org/10.5194/npg-4-63-1997, 1997.