The Hopf bifurcation in the Lorenz model by the 2-timing method (Q1117538)
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scientific article; zbMATH DE number 4092419
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Hopf bifurcation in the Lorenz model by the 2-timing method |
scientific article; zbMATH DE number 4092419 |
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The Hopf bifurcation in the Lorenz model by the 2-timing method (English)
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1986
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We obtain a relatively compact exact expression for the Hopf radius R as a function of the Lorenz parameters \(\sigma\) and b. Numerical evaluation of \(R=R(\sigma,b)\) together with a simple, asymptotic expression for R give clear evidence that the bifurcation is subcritical always in the physical parameter range.
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Hopf radius
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Lorenz parameters
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bifurcation
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