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Canonical form of a nonlinear monetary system |
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| Authors: | Wen Luosheng Yang Xiaofan Zhong Jiang |
| Affiliation: | a College of Mathematics and Physics, Chongqing University, Chongqing 400044, China b College of Computer Science, Chongqing University, Chongqing 400044, China c College of Communication Engineering, Chongqing University, Chongqing 400044, China |
| Abstract: | This paper addresses an autonomous system of quadratic ordinary differential equations, which describes a monetary system involving interest rate, investment demand and price index. The canonical form of this system is derived, which is dependent on a single parameter. On this basis, it is proved that this system is not smoothly equivalent to the generalized Lorenz canonical form. |
| Keywords: | Monetary system Generalized Lorenz canonical form Chaos Smoothly equivalent |
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