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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
The Emergency Mind: How We Adjust To And Cope With Living In Dangerous Places, Matt Davis
The Emergency Mind: How We Adjust To And Cope With Living In Dangerous Places, Matt Davis
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No abstract provided.
Spring-Block Models Of Earthquake Dynamics, Ashley E. Mccall
Spring-Block Models Of Earthquake Dynamics, Ashley E. Mccall
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In this paper, the dynamics of spring-block models are studied. A brief overview of the history of spring-block models relating to earthquakes is presented, along with the development of friction laws. Several mathematical topics relating to dynamical systems are also discussed. We consider two spring-block models; one with Dieterich-Ruina rate and state dependent friction and another with a modified Dieterich-Ruina style friction. For each system, the qualitative behavior and numerical solutions are presented. In the first case, we find that the system undergoes a Hopf bifurcation from a stationary solution to a periodic orbit, and eventually transitions to chaos. In …