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Catastrophe theory: An application to a business cycle model

โœ Scribed by H. Khademian

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
450 KB
Volume
10
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

This paper examines the discontinuity conditions of equilibria in singular economies. A parameterized differential equation system is used to describe business cycles. It is shown that the qualitative behavior of the system is sensitive to particular parameters and cusp catastrophes may occur.

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An experimental and theoretical investigation is presented for the forced vibration of a one-degree-of-freedom system with a non-linear restoring force. Catastrophe theory is applied to the analysis of Dufling's equation. As an example of a case of an asymmetric non-linear restoring force, the force