Structurally stable heteroclinic cycles and the dynamo dynamics (Q2776171)
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scientific article; zbMATH DE number 1714385
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Structurally stable heteroclinic cycles and the dynamo dynamics |
scientific article; zbMATH DE number 1714385 |
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15 October 2003
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heteroclinic cycles
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dynamo theory
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magnetic reversals
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structural stability
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saddle point
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dynamical systems
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Structurally stable heteroclinic cycles and the dynamo dynamics (English)
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Heteroclinic cycles, i.e. the trajectories that connect a finite number of saddle points of a dynamical system until they eventually come back to the same saddle point, are structurally unstable. However, it has been shown that additional structure in the dynamical systems may lead to structurally stable behavior of these cycles. In particular, symmetry in the equations may force heteroclinic cycles to be structurally stable. The paper presents an example of such a system which can be used as a model of magnetic reversals in dynamo theory.NEWLINENEWLINEFor the entire collection see [Zbl 0973.00055].
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