Results 41 to 50 of about 22,063 (297)
Discrete integrable systems and Poisson algebras from cluster maps [PDF]
, 2014 We consider nonlinear recurrences generated from cluster mutations applied to quivers that have the property of being cluster mutation-periodic with period 1.
Fordy, AP +3 more
core +1 more source
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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Short-length routes in low-cost networks via Poisson line patterns [PDF]
, 2008 In designing a network to link n points in a square of area n, we might be guided by the following two desiderata. First, the total network length should not be much greater than the length of the shortest network connecting all points.
Aldous, James D. +3 more
core +1 more source
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 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
openaire +2 more sources
The $\log$ symplectic geometry of Poisson slices
Journal of Symplectic Geometry, 2022 36 pages.
Crooks, Peter, Röser, Markus
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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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