Results 21 to 30 of about 398 (251)
Catastrophe optics theory unveils the localised wave aberration features that generate ghost images. [PDF]
Ophthalmic Physiol Opt, 2022 Monocular polyplopia (ghost or multiple images) is a serious visual impediment for some people who report seeing two (diplopia), three (triplopia) or even more images.
Barbero S +4 more
europepmc +2 more sources
Bifurcation of solutions through a contact manifold in bidisperse models
Frontiers in Applied Mathematics and Statistics, 2023 This research focuses on a hyperbolic system that describes bidisperse suspensions, consisting of two types of small particles dispersed in a viscous fluid.
Stefan Berres, Pablo Castañeda
doaj +1 more source
Planar Sections of a Surface Close to an Umbilic [PDF]
, 2022 We study the intersection between a smooth algebraic surface with an umbilic point and a plane parallel and close to the tangent plane at the umbilic.
Pukhlikov, Aleksandr +3 more
core +1 more source
An asymptotic expansion of the hyberbolic umbilic catastrophe integral [PDF]
, 2023 We obtain an asymptotic expansion of the hyperbolic umbilic catastrophe integral Ψ(H)(x,y,z):=∫∞−∞∫∞−∞exp(i(s3+t3+zst+yt+xs))dsdt for large values of |x| and bounded values of |y| and |z|.
Ferreira, Chelo +2 more
core +1 more source
The hyperbolic umbilic singularity in fast-slow systems
, 2022 Fast-slow systems with three slow variables and gradient structure in the fast variables have, generically, hyperbolic umbilic, elliptic umbilic or swallowtail singularities. In this article we provide a detailed local analysis of a fast-slow system near
Kojakhmetov, Hildeberto Jardón +5 more
core +1 more source
On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations. [PDF]
J Nonlinear Sci, 2015 We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Dubrovin B, Grava T, Klein C, Moro A.
europepmc +2 more sources
Correlations and screening of topological charges in Gaussian random fields [PDF]
, 2003 Two-point topological charge correlation functions of several types of geometric singularity in Gaussian random fields are calculated explicitly, using a general scheme: zeros of n-dimensional random vectors, signed by the sign of their Jacobian ...
Dennis, MR +2 more
core +1 more source
Roots of Polynomials and Umbilics of Surfaces
, 2023 For certain polynomials we relate the number of roots inside the unit circle with the index of a non-degenerate isolated umbilic point on a real analytic surface in Euclidean 3-space.
Wilhelm Klingenberg +4 more
core +1 more source
Molecular Oncology, EarlyView.Glioma cells mainly express the endothelin receptor EDNRB, while EDNRA is restricted to a perivascular tumor subpopulation. Endothelin signaling reduces glioma cell proliferation while promoting migration and a proneural‐to‐mesenchymal transition associated with poor prognosis. This pathway activates Ca2+, K+, ERK, and STAT3 signalings and is regulated
Donovan Pineau +36 more
wiley +1 more source
Hyperbolic conservation laws with umbilic degeneracy
, 2001 We continue to study hyperbolic systems of conservation laws with umbilic degeneracy. We further extend our compactness framework established earlier to other canonical classes of quadratic flux systems with an isolated umbilic point.
Chen, G-Q, Kan, PT
core +1 more source