RT info:eu-repo/semantics/article
T1 Gradient Vector Fields Do Not Generate Twister Dynamics
A1 Fortuny, P.
A1 Sanz, F.
K1 trajectories of vector fields; gradient conjecture; oscillation; spiraling
AB Gradient Conjecture states that a solution g of an analytic gradientvector field X approaching to a singularity P of X has a tangent at P. A strongerversion asserts that g does not meet an analytic hypersurface an infinite number oftimes (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-oscillatingand, moreover, it does not spiral around G in a precise sense.
PB Academic Press, Elsevier
SN 0022-0396
YR 2001
FD 2001
LK https://uvadoc.uva.es/handle/10324/68193
UL https://uvadoc.uva.es/handle/10324/68193
LA spa
NO Journal of Differential Equations 174, 91 100 (2001)
DS UVaDOC
RD 22-nov-2024