Circular quartics in the isotropic plane generated by projectively linked pencils of conics

2010 ◽  
Vol 130 (1-2) ◽  
pp. 35-49 ◽  
Author(s):  
E. Jurkin
Keyword(s):  
Isotropic Plane ◽  
Pencils Of Conics

On triangulations of the plane by pencils of conics. II

2013 ◽  
Vol 204 (6) ◽  
pp. 869-909 ◽  
Author(s):  
V B Lazareva ◽  
A M Shelekhov
Keyword(s):  
Pencils Of Conics

A new methodology to obtain the exact solutions of isotropic plane beam subjected to arbitrary loads

2010 ◽  
Vol 37 (5) ◽  
pp. 476-483 ◽  
Author(s):  
Lang Zhang ◽  
Puyun Gao ◽  
Dongxu Li ◽  
Xue Wang
Keyword(s):  
Exact Solutions ◽  
Isotropic Plane

Bound state in a model of electromagnetic field interacting with a material plan

2020 ◽  
Vol 35 (21) ◽  
pp. 2050170
Author(s):  
Yu. M. Pismak ◽  
D. Shukhobodskaia
Keyword(s):  
Electromagnetic Field ◽  
Maxwell Equations ◽  
Singular Potential ◽  
Bound State ◽  
Material Object ◽  
Two Dimensional ◽  
Isotropic Plane ◽  
Chern Simons ◽  
Material Plane ◽  
State Of Field

In the model with Chern-Simons potential describing the coupling of electromagnetic field with a two-dimensional material, the possibility of the appearance of bound field states, vanishing at sufficiently large distances from interacting with its macro-objects, is considered. As an example of such two-dimensional material object we consider a homogeneous isotropic plane. Its interaction with electromagnetic field is described by a modified Maxwell equation with singular potential. The analysis of their solution shows that the bound state of field cannot arise without external charges and currents. In the model with currents and charges the Chern-Simons potential in the modified Maxwell equations creates bound state in the form of the electromagnetic wave propagating along the material plane with exponentially decreasing amplitude in the orthogonal to its direction.

scholarly journals Algebro-geometric approach to the Yang-Baxter equation and related topics

2012 ◽  
Vol 91 (105) ◽  
pp. 25-48 ◽  
Author(s):  
Vladimir Dragovic
Keyword(s):  
Computational Experiment ◽  
Geometric Approach ◽  
Mathematical Physics ◽  
Baxter Equation ◽  
Geometric Properties ◽  
Reflection Theorem ◽  
Pencils Of Conics

We review the results of algebro-geometric approach to 4 ? 4 solutions of the Yang-Baxter equation. We emphasis some further geometric properties, connected with the double-reflection theorem, the Poncelet porism and the Euler-Chasles correspondence. We present a list of classifications in Mathematical Physics with a similar geometric background, related to pencils of conics. In the conclusion, we introduce a notion of discriminantly factorizable polynomials as a result of a computational experiment with elementary n-valued groups.

scholarly journals Field of Stresses in an Isotropic Plane with Circular Inclusion under Tensile Stress

Engineering ◽  
2012 ◽  
Vol 04 (09) ◽  
pp. 583-589 ◽  
Author(s):  
Deryugin Ye Yevgeny ◽  
G. V. Lasko
Keyword(s):  
Tensile Stress ◽  
Circular Inclusion ◽  
Isotropic Plane

scholarly journals On Brocard Points of Harmonic Quadrangle in Isotropic Plane

KoG ◽  
2017 ◽  
pp. 11-18
Author(s):  
Ema Jurkin ◽  
Vladimir Volenec
Keyword(s):  
Isotropic Plane

U radu se prikazuju neki novi rezultati o Brocardovim točkama harmoničnog četverokuta u izotropnoj ravnini. Konstruiraju se novi harmonični četverokuti pridruženi danom četverokutu, te se proučavaju njihova svojstva vezana uz Brocardove točke.

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