Darboux integrability of a nonlinear financial system (Q426343)
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scientific article; zbMATH DE number 6045156
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Darboux integrability of a nonlinear financial system |
scientific article; zbMATH DE number 6045156 |
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Darboux integrability of a nonlinear financial system (English)
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11 June 2012
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Darboux integrability
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nonlinear finance system
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invariant algebraic surfaces
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Darboux first integrals
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exponential factors
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The author studies a nonlinear system with some parameters considered by Junhai and Chen (2001) (a system of nonlinear autonomous ordinary differential equations in \(\mathbb R^2\)) describing the time variations of three state variables: the interest rate, the investment demand, and the price index.NEWLINENEWLINEThe author investigates the integrability of the system showing that it is not Darboux integrable for any value of the positive real parameters of the system.
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