Results 11 to 20 of about 195 (41)

Impulsive surfaces on dynamical systems [PDF]

, 2016
This work is devoted to the construction of impulsive sets in Rn. In the literature, there are many examples of impulsive dynamical systems whose impulsive sets are chosen in an abstract way, and in this paper we present sufficient conditions to ...
Bonotto, Everaldo de Mello, Bortolan, Matheus Cheque, Caraballo Garrido, Tomás, Collegari, Rodolfo   +3 more
core   +1 more source

Spherical Surfaces [PDF]

, 2015
We study surfaces of constant positive Gauss curvature in Euclidean 3-space via the harmonicity of the Gauss map. Using the loop group representation, we solve the regular and the singular geometric Cauchy problems for these surfaces, and use these ...
Brander, David
core   +2 more sources

Families of spherical surfaces and harmonic maps [PDF]

, 2018
We study singularities of constant positive Gaussian curvature surfaces and determine the way they bifurcate in generic 1-parameter families of such surfaces. We construct the bifurcations explicitly using loop group methods.
Brander, David, Tari, Farid
core   +2 more sources

On the Invariant Theory of Weingarten Surfaces in Euclidean Space

, 2008
We prove that any strongly regular Weingarten surface in Euclidean space carries locally geometric principal parameters. The basic theorem states that any strongly regular Weingarten surface is determined up to a motion by its structural functions and ...
Baran H, Baran H Marvan M, Bonnet O, Bonnet O, Bryant R, Eisenhart L, Enneper A, Enneper A, Enneper A, Finkel F, Georgi Ganchev, Gray A, Kenmotsu K, Kruppa E, Serret J, Sturm C, Sturm C, Sturm C, Vesselka Mihova, von Lilienthal R   +19 more
core   +2 more sources

Reductions of Gauss-Codazzi equations

, 2016
We prove that conformally parametrized surfaces in Euclidean space $\Rcubec$ of curvature $c$ admit a symmetry reduction of their Gauss-Codazzi equations whose general solution is expressed with the sixth Painlev\'e function.
Conte, Robert, Grundland, A. Michel
core   +1 more source

Sweeping Surfaces of Polynomial Curves in Euclidean 3-space

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this study, we investigate the surfaces created by the movement of the profile curves through the regular polynomial spine curves. To overcome the restrictions of establishing a frame of the polynomial curves at the points where the second and higher ...
Zhu Yuting, Li Yanlin, Eren Kemal, Ersoy Soley   +3 more
doaj   +1 more source

Characterizing Level-set Families of Harmonic Functions

, 2019
Families of hypersurfaces that are level-set families of harmonic functions free of critical points are characterized by a local differential-geometric condition.
Ding, Pisheng
core  

Different spectral sensitivities of ON- and OFF-motion pathways enhance the detection of approaching color objects in Drosophila. [PDF]

Nat Commun, 2023
Longden KD, Rogers EM, Nern A, Dionne H, Reiser MB.   +4 more
europepmc   +1 more source

Propagation of curved folding: the folded annulus with multiple creases exists. [PDF]

Beitr Algebra Geom, 2022
Alese L.
europepmc   +1 more source

Avoidance response to CO2 in the lateral horn. [PDF]

PLoS Biol, 2019
Varela N, Gaspar M, Dias S, Vasconcelos ML.   +3 more
europepmc   +1 more source