Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Anatolij K. Prykarpatski"'
Publikováno v:
Symmetry, Vol 16, Iss 11, p 1441 (2024)
We successively reanalyzed modern Lie-algebraic approaches lying in the background of effective constructions of integrable super-Hamiltonian systems on functional N=1,2,3- supermanifolds, possessing rich supersymmetries and endowed with suitably rel
Externí odkaz:
https://doaj.org/article/1cef9e7e52d0499e8877cd87114866cf
Publikováno v:
Symmetry, Vol 16, Iss 1, p 76 (2024)
Poisson structures related to affine Courant-type algebroids are analyzed, including those related with cotangent bundles on Lie-group manifolds. Special attention is paid to Courant-type algebroids and their related R structures generated by suitabl
Externí odkaz:
https://doaj.org/article/e2a96ddd40fe423b9e863fe93f2f5779
Publikováno v:
Symmetry, Vol 16, Iss 1, p 54 (2023)
We analyze the Lie algebraic structures related to the quantum deformation of the Sato Grassmannian, reducing the problem to studying co-adjoint orbits of the affine Lie subalgebra of the specially constructed loop diffeomorphism group of tori. The c
Externí odkaz:
https://doaj.org/article/b6f4459ddb5344568af4ccebf06e34d2
Publikováno v:
Entropy, Vol 25, Iss 2, p 308 (2023)
A thermodynamically unstable spin glass growth model described by means of the parametrically-dependent Kardar–Parisi–Zhang equation is analyzed within the symplectic geometry-based gradient–holonomic and optimal control motivated algorithms. T
Externí odkaz:
https://doaj.org/article/b3e54769b3f846d08ab2542a5a9962c8
Publikováno v:
Symmetry, Vol 15, Iss 1, p 96 (2022)
The Special Issue “Symmetry of Hamiltonian Systems: Classical and Quantum Aspects” is addressed to mathematical physicists wanting to find some fresh views on results and perspectives in symmetry analysis of a wide class of Hamiltonian systems fe
Externí odkaz:
https://doaj.org/article/09ac9c0f3e664a22b5ba9c6c4b9c1250
Publikováno v:
Algorithms, Vol 15, Iss 8, p 266 (2022)
Based on a devised gradient-holonomic integrability testing algorithm, we analyze a class of dark type nonlinear dynamical systems on spatially one-dimensional functional manifolds possessing hidden symmetry properties and allowing their linearizatio
Externí odkaz:
https://doaj.org/article/f80a77565b3d4d8bb0f0e203593fd354
Autor:
Anatolij K. Prykarpatski
Publikováno v:
Universe, Vol 8, Iss 5, p 288 (2022)
This review is devoted to the universal algebraic and geometric properties of the non-relativistic quantum current algebra symmetry and to their representations subject to applications in describing geometrical and analytical properties of quantum an
Externí odkaz:
https://doaj.org/article/966ef42535b948f388c589b614e6bb71
Publikováno v:
Axioms, Vol 10, Iss 4, p 275 (2021)
Finding effective finite-dimensional criteria for closed subspaces in Lp, endowed with some additional functional constraints, is a well-known and interesting problem. In this work, we are interested in some sufficient constraints on closed functiona
Externí odkaz:
https://doaj.org/article/046cdd4a2404457fb169d58754e169e7
Publikováno v:
Entropy, Vol 23, Iss 11, p 1405 (2021)
We review some analytic, measure-theoretic and topological techniques for studying ergodicity and entropy of discrete dynamical systems, with a focus on Boole-type transformations and their generalizations. In particular, we present a new proof of th
Externí odkaz:
https://doaj.org/article/e17f33b2f9a34537b60e9e99022ff415
Publikováno v:
Symmetry, Vol 13, Iss 8, p 1452 (2021)
We review a non-relativistic current algebra symmetry approach to constructing the Bogolubov generating functional of many-particle distribution functions and apply it to description of invariantly reduced Hamiltonian systems of the Boltzmann type ki
Externí odkaz:
https://doaj.org/article/eca763f01edc4f619f009590b505a955