2026-04-14T19:10:33Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/681932025-03-17T10:50:50Zcom_10324_1129com_10324_931com_10324_894col_10324_1193

Gradient vector fields do not generate twister dynamics Fortuny Ayuso, Pedro Sanz Sánchez, Fernando Gradient Conjecture states that a solution g of an analytic gradient vector field X approaching to a singularity P of X has a tangent at P. A stronger version asserts that g does not meet an analytic hypersurface an infinite number of times (it is non-oscillating). We prove, in dimension 3, that if g is ``infinitely near'' an analytic curve G not composed of singularities of X, then g is non-oscillating and, moreover, it does not spiral around G in a precise sense. 2024-06-22T10:01:17Z 2024-06-22T10:01:17Z 2001 info:eu-repo/semantics/article Journal of Differential Equations 174, 91 100 (2001) 0022-0396 https://uvadoc.uva.es/handle/10324/68193 10.1006/jdeq.2000.3926 91 1 100 Journal of Differential Equations 174 spa info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ Elsevier Attribution-NonCommercial-NoDerivatives 4.0 Internacional Academic Press, Elsevier SI