Reduction of Dietrich-Ruina attractors to unimodal maps
- 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.