Abstract

CASTILLO DAZA, S. L  and  NARANJO MAYORGA, F. Simplified Model of the Catastrophe Theory for the Landslides Study. Ciencia en Desarrollo [online]. 2015, vol.6, n.1, pp.61-65. ISSN 0121-7488.

I many real world problems the symmetries of the system are only an approximation; the parameters involved in those systems generate an imperfection, where different bifurcation types converge, leading to critical situations called catastrophes. In the dynamic model of a bead on a wire in a inclined and suspended position, the system represents a catastrophic, condition that to be studied and analyzed, was necessary to use the bifurcation and catastrophe's theories¹. The results can be compared with the real world, by the landslide qualitative model, caused by a winter situation.

Keywords : Bifurcatio Theory; Catastrophe Theory; Dynamic Systems; Fixed Points; Non-Linear; Stability.

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