Gradient Trajectories For Plane Singular Metrics I: Oscillating Trajectories
Abstract: In this short note, we construct an example of a real plane analytic singular metric, degenerating only at the origin, such that any gradient trajectory (respectively to this singular metric) of some well chosen function spirals around the origin. The inversion mapping carries this example into an example of a gradient spiraling dynamics at infinity
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Gradient Trajectories For Plane Singular Metrics I: Oscillating Trajectories ; volume:47 ; number:1 ; year:2014 ; pages:69-78
Demonstratio mathematica ; 47, Heft 1 (2014), 69-78
- Urheber
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Grandjean, Vincent
- DOI
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10.2478/dema-2014-0006
- URN
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urn:nbn:de:101:1-2411181526193.868962960944
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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15.08.2025, 07:21 MESZ
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Beteiligte
- Grandjean, Vincent
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