Gradient Trajectories For Plane Singular Metrics I: Oscillating Trajectories

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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

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: 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

Creator: Grandjean, Vincent

DOI: 10.2478/dema-2014-0006

URN: urn:nbn:de:101:1-2411181526193.868962960944

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:21 AM CEST

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Gradient Trajectories For Plane Singular Metrics I: Oscillating Trajectories

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