Abstract
Catastrophe theory is widely used in almost every aspect since it was founded, and usually the research target is the nonlinear system. However, how to build the catastrophe models of a nonlinear system is a hard problem. Catastrophe models are the key points to analyze the catastrophe characteristics of a system. This paper discussed the universal transformation methods of four elementary catastrophe modeling, which are fold catastrophe modeling, cusp catastrophe modeling, swallowtail catastrophe modeling and butterfly catastrophe modeling. Once the catastrophe model of the system is deduced, the catastrophe analysis of the system then can be applied.
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© 2011 Springer-Verlag Berlin Heidelberg
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Qi, Z. (2011). Catastrophe Modeling of a Nonlinear System. In: Tan, H. (eds) Informatics in Control, Automation and Robotics. Lecture Notes in Electrical Engineering, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25899-2_65
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DOI: https://doi.org/10.1007/978-3-642-25899-2_65
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