IJPAM: Volume 84, No. 5 (2013)
SPRING-BLOCK MODEL WITH SLIP-DEPENDENT FRICTION
Department of Mathematics & Computer Science
Minot State University
Minot, North Dakota, 58707, USA
Abstract. The global conditions under which a spring-block model coupled with non smooth slip-dependent friction force depicts a seismic fault are studied. Existence and uniqueness conditions of the periodic orbits solutions were proved using Poincare-Bendixsom theorem and Lyapounov-Schmidt reduction technique. The insight gained has important implications for the understanding of earthquakes and other dissipative driven systems.
Received: December 19, 2012
AMS Subject Classification: 86A17
Key Words and Phrases: spring-block, earthquakes, friction, slip-dependent, existence
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DOI: 10.12732/ijpam.v84i5.12 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395