Results 41 to 50 of about 17,957 (257)
EPJ Web of Conferences, 2014 We discuss the lift of Poisson structures associated with auxiliary linear problems for the differential and difference Lax equations to the space of wave functions.
Semenov-Tian-Shansky Michael
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Holomorphic Poisson Cohomology
Complex Manifolds, 2015 Holomorphic Poisson structures arise naturally in the realm of generalized geometry. A holomorphic Poisson structure induces a deformation of the complex structure in a generalized sense, whose cohomology is obtained by twisting the Dolbeault @-operator ...
Chen Zhuo +2 more
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Hamiltonian Dynamics of Classical Spins
PhysicsWe discuss the geometry behind the classical Heisenberg model at the level suitable for third- or fourth-year students who did not have the opportunity to take a course on differential geometry.
Slobodan Radošević +5 more
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An Underactuated Drift-Free Left Invariant Control System on a Specific Lie Group
Journal of Applied Mathematics, 2012 The paper presents a geometrical overview on an optimal control problem on a special Lie group. The Hamilton-Poisson realization of the dynamics offers us the possibility to study the system from mechanical geometry point of view.
Camelia Pop Arieşanu
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Poisson Geometry Related to Atiyah Sequences [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2018 We construct and investigate a short exact sequence of Poisson $\mathcal{VB}$-groupoids which is canonically related to the Atiyah sequence of a $G$-principal bundle $P$. Our results include a description of the structure of the symplectic leaves of the Poisson groupoid $\frac{T^*P\times T^*P}{G}\rightrightarrows \frac{T^*P}{G}$. The semidirect product
Mackenzie, K.C. +2 more
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Quadratic Poisson algebras on k[x, y, z]and their automorphisms
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 One of the important directions in modern mathematics is applications of Poisson structures and to various problems of mathematics and theoretical mechanics. These problems arise in dynamics of a rigid body, the celestial mechanics, the theory of curls,
U.K. Turusbekova, G.T. Azieva
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Energy-efficient power scheduling and allocation scheme for wireless sensor networks
Energy Reports, 2022 The focus in this paper is on coverage energy-efficient of WSN (wireless sensor networks). Communication path lengths of a randomly distributed BSs and sensor nodes field are characterized by distance distributions.
Hao Chen, Zhan Chen
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Poisson Geometry with a 3-Form Background [PDF]
Progress of Theoretical Physics Supplement, 2001 We study a modification of Poisson geometry by a closed 3-form. Just as for ordinary Poisson structures, these "twisted" Poisson structures are conveniently described as Dirac structures in suitable Courant algebroids. The additive group of 2-forms acts on twisted Poisson structures and permits them to be seen as glued from ordinary Poisson structures ...
Severa, Pavol, Weinstein, Alan
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
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Poisson Doubly Warped Product Manifolds
Mathematics, 2023 This article generalizes some geometric structures on warped product manifolds equipped with a Poisson structure to doubly warped products of pseudo-Riemannian manifolds equipped with a doubly warped Poisson structure.
Ibrahim Al-Dayel +2 more
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