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Limit cycles of planar vector fields, Hilbertâ s 16th problem and o-minimality Speissegger, Patrick
Description
Recent work links certain aspects of the second part of Hilbertâ s 16th problem (H16) to the theory of o-minimality. One of these aspects is the generation and destruction of limit cycles in families of planar vector fields, commonly referred to as â bifurcationsâ . I will outline the significance of bifurcations for H16 and explain how logicâ in particular, o-minimalityâ can be used to understand them well enough to be able to count limit cycles.
Item Metadata
| Title |
Limit cycles of planar vector fields, Hilbertâ s 16th problem and o-minimality
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2020-06-02T09:00
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| Description |
Recent work links certain aspects of the second part of Hilbertâ s 16th problem (H16) to the theory of o-minimality. One of these aspects is the generation and destruction of limit cycles in families of planar vector fields, commonly referred to as â bifurcationsâ . I will outline the significance of bifurcations for H16 and explain how logicâ in particular, o-minimalityâ can be used to understand them well enough to be able to count limit cycles.
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| Extent |
35.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: McMaster University
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| Series | |
| Date Available |
2020-11-30
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0395098
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International