Reduction of Dietrich-Ruina attractors to unimodal maps

oleh: S. Shkoller, J.-B. Minster

Format: Article
Diterbitkan: Copernicus Publications 1997-01-01

Deskripsi

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.