Results 81 to 90 of about 762 (171)
, 2005 This is an overview article on selected topics in symplectic geometry written for the Handbook of Differential Geometry (volume 2, edited by F.J.E. Dillen and L.C.A. Verstraelen).
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Symmetry, Integrability and Geometry: Methods and Applications, 2007 Bifibrations, in symplectic geometry called also dual pairs, play a relevant role in the theory of superintegrable Hamiltonian systems. We prove the existence of an analogous bifibrated geometry in dynamical systems with a symmetry group such that the ...
Francesco Fassò, Andrea Giacobbe
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, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Zhendong Ceshi yu Zhenduan针对传统辛几何模态分解（symplectic geometry mode decomposition， 简称SGMD）方法因嵌入维数选择依靠经验公式，导致出现信号模态混叠和过度分解的问题，提出了一种改进的辛几何模态分解（improved symplectic geometry mode decomposition， 简称ISGMD）方法。首先，通过计算原始信号的功率谱密度得到最大主峰的频率并设定嵌入维数区间，根据峭度准则筛选分解后的辛几何分量（symplectic geometry component，
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Symplectic geometry of conical symplectic resolutions
, 2020 Ever since Kronheimer's celebrated hyperkähler construction of gravitational instantons thirty years ago, many similar constructions have appeared in the mathematical literature, eventually producing a vast class of holomorphic symplectic manifolds nowadays called Conical Symplectic Resolutions (CSRs).
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Shock and VibrationThe current methods for early fault diagnosis of rolling bearing have some flaws, such as poor fault feature information and insufficient fault feature extraction capability, which makes it challenging to guarantee fault diagnosis accuracy.
Wei Yuan +5 more
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$\mathbf {5 \times 5}$ -graded Lie algebras, cubic norm structures and quadrangular algebras
Forum of Mathematics, SigmaWe study simple Lie algebras generated by extremal elements, over arbitrary fields of arbitrary characteristic. We show the following: (1) If the extremal geometry contains lines, then the Lie algebra admits a $5 \times 5$ -grading that can be ...
Tom De Medts, Jeroen Meulewaeter
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Symplectic Geometry and Circuit Quantization
PRX QuantumCircuit quantization is an extraordinarily successful theory that describes the behavior of quantum circuits with high precision. The most widely used approach of circuit quantization relies on introducing a classical Lagrangian whose degrees of freedom are either magnetic fluxes or electric charges in the circuit.
Andrew Osborne +5 more
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Multipole Vortex Blobs (MVB): Symplectic Geometry and Dynamics. [PDF]
J Nonlinear Sci, 2017 Holm DD, Jacobs HO.
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Higher Order Geometric Theory of Information and Heat Based on Poly-Symplectic Geometry of Souriau Lie Groups Thermodynamics and Their Contextures: The Bedrock for Lie Group Machine Learning. [PDF]
Entropy (Basel), 2018 Barbaresco F.
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