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www.nonlin-processes-geophys.net/4/63/1997/
doi:10.5194/npg-4-63-1997
© Author(s) 1997. This work is licensed
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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.
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Citation: Shkoller, S. and Minster, J.-B.: Reduction of Dietrich-Ruina attractors to unimodal maps, Nonlin. Processes Geophys., 4, 63-69, doi:10.5194/npg-4-63-1997, 1997. Bibtex EndNote Reference Manager XML
