A nonlinear oscillator derived from the Lorenz chaotic system (Q2762968)
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scientific article; zbMATH DE number 1689817
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A nonlinear oscillator derived from the Lorenz chaotic system |
scientific article; zbMATH DE number 1689817 |
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16 January 2002
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nonlinear oscillations
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chaotic Lorenz system
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Lienard equation
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A nonlinear oscillator derived from the Lorenz chaotic system (English)
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Here, a nonlinear oscillator derived from a chaotic Lorenz system is studied. Such an oscillator can be written as a two-dimensional system of ordinary differential equations, or as a second-order differential equation known as the Lienard equation. Equations of this type are able to generate endogenous oscillations. This property is shown by the authors, and it has an extraordinary importance for applications.
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