Non-integrability on AdS3 supergravity backgrounds
Sign Up to like & getrecommendations! Published in 2020 at "Journal of High Energy Physics"
DOI: 10.1007/jhep02(2020)027
Abstract: Abstract We investigate classical integrability on two recently discovered classes of back- grounds in massive IIA supergravity. These vacua are of the form AdS3 × S2 × ℝ × CY2, they preserve small $$ \mathcal{N}… read more here.
Keywords: integrability ads3; non integrability; supergravity backgrounds; integrability ... See more keywords
Integrability and Dynamics of the n-Dimensional Symmetric Veselova Top
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-018-9515-5
Abstract: We consider the n-dimensional generalization of the nonholonomic Veselova problem. We derive the reduced equations of motion in terms of the mass tensor of the body and determine some general properties of the dynamics. In… read more here.
Keywords: dynamics dimensional; integrability; dimensional symmetric; veselova top ... See more keywords
Solving Uncalibrated Photometric Stereo Using Fewer Images by Jointly Optimizing Low-rank Matrix Completion and Integrability
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Imaging and Vision"
DOI: 10.1007/s10851-017-0772-y
Abstract: We introduce a new, integrated approach to uncalibrated photometric stereo. We perform 3D reconstruction of Lambertian objects using multiple images produced by unknown, directional light sources. We show how to formulate a single optimization that… read more here.
Keywords: stereo using; stereo; integrability; photometric stereo ... See more keywords
Integrability and limit cycles in cubic Kukles systems with a nilpotent singular point
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-019-04805-0
Abstract: In this paper, integrability problem and bifurcation of limit cycles for cubic Kukles systems which are assumed to have a nilpotent origin are investigated. A complete classification is given on the integrability conditions and proven… read more here.
Keywords: cubic kukles; kukles systems; integrability; limit cycles ... See more keywords
Exceptional solutions to the eight-vertex model and integrability of anisotropic extensions of massive fermionic models
Sign Up to like & getrecommendations! Published in 2019 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2018.12.011
Abstract: Abstract We consider several anisotropic extensions of the Belavin model, and show that integrability holds also for the massive case for some specific relations between the coupling constants. This is done by relating the S-matrix… read more here.
Keywords: anisotropic extensions; vertex model; integrability; solutions eight ... See more keywords
An analytical scheme on complete integrability of 2D biophysical excitable systems
Sign Up to like & getrecommendations! Published in 2021 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2021.125924
Abstract: Abstract We report a method to find the complete integrability and analytical scheme of a well-known two dimensional (2D) excitable biophysical system that includes a coupled non-linear ordinary differential equations (ODEs). We demonstrate the integrability… read more here.
Keywords: integrability biophysical; method; analytical scheme; complete integrability ... See more keywords
The hydrogen atom in the van der Waals potential combined by magnetic and electric fields, Painlevé analysis, and integrability
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5090485
Abstract: In this article, we studied the problem of the Colombian potential perturbed by van der Waals potential interacting with combined electric and magnetic fields, known as Stark and Zeeman effects, and we determined new integrable… read more here.
Keywords: analysis integrability; van der; der waals; integrability ... See more keywords
Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Nonlinear Mathematical Physics"
DOI: 10.1080/14029251.2020.1819612
Abstract: We consider the complex differential system ẋ = x + y f (x) , ẏ = −y + x f (y) , where f is the analytic function . This system has a weak saddle… read more here.
Keywords: integrability; generalized nard; weak saddle; saddle generalized ... See more keywords
Generalized symmetries and integrability conditions for hyperbolic type semi-discrete equations * * To the memory of A B Shabat and R I Yamilov.
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/abf3ea
Abstract: In the article differential-difference (semi-discrete) lattices of hyperbolic type are investigated from the integrability viewpoint. More precisely we concentrate on a method for constructing generalized symmetries. This kind integrable lattices admit two hierarchies of generalized… read more here.
Keywords: semi discrete; integrability; equation; hyperbolic type ... See more keywords
Integrability, dualities and deformations
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aca22f
Abstract: We present a special issue reviewing various topics that include: classical and quantum integrability, integrable deformations, the 4D Chern–Simons theory, double field theory and α′ -corrections in string theory. read more here.
Keywords: dualities deformations; integrability; integrability dualities;
Nonadiabatic transitions in Landau-Zener grids: Integrability and semiclassical theory
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.103.144301
Abstract: We demonstrate that the general model of a linearly time-dependent crossing of two energy bands is integrable. Namely, the Hamiltonian of this model has a quadratically time-dependent commuting operator. We apply this property to four-state… read more here.
Keywords: landau zener; integrability; semiclassical theory; nonadiabatic transitions ... See more keywords