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Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane
(2013-04-01)
This paper is concerned with closed orbits of non-smooth vector fields on the plane. For a class of non-smooth vector fields we provide necessary and sufficient conditions for the existence of closed poly-trajectorie. By ...
Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane
(2013-04-01)
This paper is concerned with closed orbits of non-smooth vector fields on the plane. For a class of non-smooth vector fields we provide necessary and sufficient conditions for the existence of closed poly-trajectorie. By ...
UNIT VECTOR FIELDS ON ANTIPODALLY PUNCTURED SPHERES: BIG INDEX, BIG VOLUME
(FRENCH MATHEMATICAL SOC, 2008)
We establish in this paper a lower bound for the volume of a unit vector field (v) over right arrow defined ou S(n) \ {+/-x}, n = 2,3. This lower bound is related to the sum of the absolute values of the indices of (v) ...
2D-Vector Field Simulation
(Paul Falstad, 2011)
2D-Vector Field Simulation
(Paul Falstad, 2016)
Existence of common zeros for commuting vector fields on 3-manifolds II. Solving global difficulties
(London Mathematics Society, 2020)
We address the following conjecture about the existence of common zeros for commuting vector fields in dimension 3: if are two commuting vector fields on a 3-manifold , and is a relatively compact open such that does not ...
The Conley index for discontinuous vector fields
(SpringerDordrechtHolanda, 2008)
2D-Vector
(Paul Falstad, 2016)
2D-Vector
(Paul Falstad, 2011)