Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations (Q344734)
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scientific article; zbMATH DE number 6655825
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations |
scientific article; zbMATH DE number 6655825 |
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Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations (English)
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24 November 2016
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The authors expand the scope of applicability of the geometric desingularization method for fast-slow systems of differential equations to include the classical problem of slow passage through Hopf bifurcations employing integration along a suitable choice of contour in the complex time plane and then the method of geometric desingularization which is also known as the blow-up method.
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fast-slow system
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dynamic bifurcation
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geometric desingularization
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blow-up method
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delayed loss of stability
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exponentially-small splitting distance
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