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Fault Feature Extraction of Hydraulic Pumps Based on Symplectic Geometry Mode Decomposition and Power Spectral Entropy. [PDF]
Entropy (Basel), 2019 Aiming at fault feature extraction of a hydraulic pump signal, a new method based on symplectic geometry mode decomposition (SGMD) and power spectral entropy (PSE) is proposed.
Zheng Z, Xin G.
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The Partial Reconstruction Symplectic Geometry Mode Decomposition and Its Application in Rolling Bearing Fault Diagnosis. [PDF]
Sensors (Basel), 2023 Extracting the fault characteristic information of rolling bearings from intense noise disturbance has been a heated research issue. Symplectic geometry mode decomposition (SGMD) has already been adopted for bearing fault diagnosis due to its advantages ...
Liu Y +5 more
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SYMPLECTIC GEOMETRIES ON SUPERMANIFOLDS [PDF]
International Journal of Modern Physics A, 2008 Extension of symplectic geometry on manifolds to the supersymmetric case is considered. In the even case it leads to the even symplectic geometry (or, equivalently, to the geometry on supermanifolds endowed with a nondegenerate Poisson bracket) or to the geometry on an even Fedosov supermanifolds.
P. M. Lavrov +2 more
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The geometry of symplectic pairs [PDF]
Transactions of the American Mathematical Society, 2005 We study the geometry of manifolds carrying symplectic pairs consisting of two closed 2-forms of constant ranks, whose kernel foliations are complementary. Using a variation of the construction of Boothby and Wang we build contact-symplectic and contact pairs from symplectic pairs.
BANDE, GIANLUCA, KOTSCHICK D.
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Symplectic Geometry of Entanglement [PDF]
Communications in Mathematical Physics, 2011 LaTex, 31 pages, typos ...
Sawicki, Adam +2 more
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Derived Stacks in Symplectic Geometry [PDF]
, 2021 44 pages. Survey paper. To appear as a chapter of the book "New Spaces for Mathematics and Physics", edited by Mathieu Anel and Gabriel ...
D. Calaque
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Comprehensive Separation Algorithm for Single-Channel Signals Based on Symplectic Geometry Mode Decomposition. [PDF]
Sensors (Basel)This paper aims to explore the difficulty of obtaining source signals from complex mixed signals and the issue that the FastICA algorithm cannot directly decompose the received single-channel mixed signals and distort the signal separation in low signal ...
Wang X, Zhao J, Wu X.
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Symplectic Applicability of Lagrangian Surfaces [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We develop an approach to affine symplectic invariant geometry of Lagrangian surfaces by the method of moving frames. The fundamental invariants of elliptic Lagrangian immersions in affine symplectic four-space are derived together with their ...
Lorenzo Nicolodi, Emilio Musso
doaj +7 more sources
Symplectic Bregman Divergences. [PDF]
Entropy (Basel)We present a generalization of Bregman divergences in finite-dimensional symplectic vector spaces that we term symplectic Bregman divergences. Symplectic Bregman divergences are derived from a symplectic generalization of the Fenchel–Young inequality ...
Nielsen F.
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An invitation to singular symplectic geometry [PDF]
International Journal of Geometric Methods in Modern Physics, 2019 In this paper, we analyze in detail a collection of motivating examples to consider [Formula: see text]-symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every [Formula: see text]-symplectic structure.
Roisin Mary Dempsey Bradell +9 more
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