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Jacobi Stability Analysis of Liu System: Detecting Chaos

Mathematics
By utilizing the Kosambi–Cartan–Chern (KCC) geometric theory, this paper is dedicated to providing novel insights into the Liu dynamical system, which stands out as one of the most distinctive and noteworthy nonlinear dynamical systems.
Qinghui Liu, Xin Zhang
doaj +1 more source

Nontrivial bundles and defect operators in n-form gauge theories

Journal of High Energy Physics
In (d + 1)-dimensional 1-form nonabelian gauge theories, we classify nontrivial 0-form bundles in ℝ d , which yield configurations of D(d − 2j)-branes wrapping (d − 2j)-cycles c d−2j in Dd-branes. We construct the related defect operators U (2j−1)(c d−2j
Shan Hu
doaj +1 more source

An elliptic integrable deformation of the Principal Chiral Model

Journal of High Energy Physics
We introduce a new elliptic integrable σ-model in the form of a two-parameter deformation of the Principal Chiral Model on the group SLℝ(N), generalising a construction of Cherednik for N = 2 (up to reality conditions).
Sylvain Lacroix, Anders Wallberg
doaj +1 more source

Geometric structures associated with the Chern connection attached to a SODE

, 2012
J. Muñoz-Masqué, E. Rosado María
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Erratum to: Quantum theory of $$k(\phi )$$-FLRW-metrics its connection to Chern-Simons-models and the theta vacuum structure of quantum gravity [PDF]

, 2021
Julius Hristov
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Flat extensions of principal connections and the Chern-Simons $3$-form