Chaos proved for a second-order difference differential equation (Q5956095)
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scientific article; zbMATH DE number 1708476
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Chaos proved for a second-order difference differential equation |
scientific article; zbMATH DE number 1708476 |
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Chaos proved for a second-order difference differential equation (English)
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17 December 2002
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delay differential equations
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difference differential equations
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chaos
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nonlinear second-order differential equations
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0.88095254
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0.8765645
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0.8753372
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0.8735037
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The authors deal with the following second-order delay differential equation NEWLINE\[NEWLINEx''(t)=f(x(t-\tau))-\alpha x(t). \tag{1}NEWLINE\]NEWLINE Assuming that \(f\) is a piecewise constant nonlinearity, they are able to prove that equation (1) exhibits chaos.
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