Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2003-10-21
Nonlinear Sciences
Adaptation and Self-Organizing Systems
11 pages, 12 figures, 30th Leeds-Lyon Symposium on Tribology, Sep. 2-5, 2003
Scientific paper
A three-blocks Burridge-Knopoff model is investigated. The dimensionless velocity-dependent friction force $F(v)\propto (1+av)^{-1}$ is linearized around $a=0$. In this way, the model is transformed into a six-dimensional mapping $\mathbf{x}(t_{n})\to \mathbf{x}(t_{n+1})$, where $t_n$ are time moments when a block starts to move or stops. Between these moments, the equations of motion are integrable. For $a<0.1$, the motion is quasiperiodic or periodic, depending on the initial conditions. For the periodic solution, we observe a synchronization of the motion of the lateral blocks. For $a>0.1$, the motion becomes chaotic. These results are true for the linearized mapping, linearized numerical and non-linearized numerical solutions.
Kawecka-Magiera B.
Kulakowski Krzysztof
Szkutnik Jacek
No associations
LandOfFree
History-dependent synchronization in the Burridge-Knopoff model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with History-dependent synchronization in the Burridge-Knopoff model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and History-dependent synchronization in the Burridge-Knopoff model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-510209