Catastrophe Theory and Its Application in the Threshold Motion of the Sediment and the Sediments Transport Rate

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Title	Catastrophe Theory and Its Application in the Threshold Motion of the Sediment and the Sediments Transport Rate
Topic:	Management of Sedimentation	Published Year:	1385
Presentation:	Oral	Published in:	[ 7th International River Engineering Conference ]
Original Language:	Persian	Full Text Size:	Not Available

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Catastrophe Theory and Its Application in the Threshold Motion of the Sediment and the Sediments Transport Rate

Author:
[ Ghorbani ] - Assistant Professor of Water Engineering Department, Tabriz University

Abstract:

Catastrophe theory was created by Rene Thom (1969), a French mathematician. With this theory, it is possible to apply the temporal and local changes of the dynamic system on the geometrical figures called the catastrophe models. This theory describes the reciprocal relation between the system variables in a geometrical model. According to the researches done by the authors of this paper, the catastrophe theory has been applied in many fields, such as engineering, basic sciences, medicine, human sciences, etc. In this paper, first the principles of the catastrophe theory is described in simple words and then the cusp-catastrophe which is mainly used in engineering studies is presented. At the end, the threshold motion of the sediment and the sediments transport rate done in flow hydraulic laboratory in high speeds in China (2002) are examined.

Keywords:

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