Geometric Flows on Planar Lattices

2021 ◽  
Author(s):  
Andrea Braides ◽  
Margherita Solci
Keyword(s):  
Geometric Flows ◽  
Planar Lattices

Stability of geometric flows of closed forms

2020 ◽  
Vol 364 ◽  
pp. 107030
Author(s):  
Lucio Bedulli ◽  
Luigi Vezzoni
Keyword(s):  
Geometric Flows

Exact solutions for Ising-model odd-number correlations on planar lattices

1991 ◽  
Vol 44 (6) ◽  
pp. 2595-2608 ◽  
Author(s):  
J. H. Barry ◽  
T. Tanaka ◽  
M. Khatun ◽  
C. H. Múnera
Keyword(s):  
Ising Model ◽  
Exact Solutions ◽  
Planar Lattices

scholarly journals Second-Order Geometric Flows on Foliated Manifolds

2017 ◽  
Vol 28 (1) ◽  
pp. 697-725
Author(s):  
Lucio Bedulli ◽  
Weiyong He ◽  
Luigi Vezzoni
Keyword(s):  
Second Order ◽  
Geometric Flows ◽  
Foliated Manifolds

Boundedness and Dissipativity of Truncated Rotations on Uniform Planar Lattices

1998 ◽  
Vol 191 (1) ◽  
pp. 59-81 ◽  
Author(s):  
Phil Diamond ◽  
Peter Kloeden ◽  
Victor Kozyakin ◽  
Alexei Pokrovskii
Keyword(s):  
Planar Lattices

scholarly journals Characterizing complex networks with Forman-Ricci curvature and associated geometric flows

2017 ◽  
Vol 5 (4) ◽  
pp. 527-550 ◽  
Author(s):  
Melanie Weber ◽  
Emil Saucan ◽  
Jürgen Jost
Keyword(s):  
Complex Networks ◽  
Ricci Curvature ◽  
Geometric Flows

scholarly journals Supersymmetric String Vacua with Torsion and Geometric Flows

2017 ◽  
Author(s):  
Duong Phong ◽  
Sebastien Picard ◽  
Xiangwen Zhang
Keyword(s):  
Geometric Flows

scholarly journals Geometric Flows of Curves, Two-Component Camassa-Holm Equation and Generalized Heisenberg Ferromagnet Equation

2021 ◽  
Vol 2090 (1) ◽  
pp. 012068
Author(s):  
Gulgassyl Nugmanova ◽  
Aigul Taishiyeva ◽  
Ratbay Myrzakulov ◽  
Tolkynai Myrzakul
Keyword(s):  
Heisenberg Ferromagnet ◽  
Geometric Flows ◽  
Space Curves ◽  
Holm Equation ◽  
Two Component

Abstract In this paper, we study the generalized Heisenberg ferromagnet equation, namely, the M-CVI equation. This equation is integrable. The integrable motion of the space curves induced by the M-CVI equation is presented. Using this result, the Lakshmanan (geometrical) equivalence between the M-CVI equation and the two-component Camassa-Holm equation is established.

On combinatorial geometric flows of two dimensional surfaces

2021 ◽  
pp. 78-88
Author(s):  
Ruslan Yurjevich Pepa ◽  
◽  
Theodore Yurjevich Popelensky ◽  
Keyword(s):  
Two Dimensional ◽  
Geometric Flows
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