Results 1 to 10 of about 743 (152)

The Partial Reconstruction Symplectic Geometry Mode Decomposition and Its Application in Rolling Bearing Fault Diagnosis [PDF]

Sensors, 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 ...
Yanfei Liu, Junsheng Cheng, Yu Yang, Guangfu Bin, Yiping Shen, Yanfeng Peng   +5 more
doaj   +2 more sources

Fault Feature Extraction of Hydraulic Pumps Based on Symplectic Geometry Mode Decomposition and Power Spectral Entropy [PDF]

Entropy, 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.
Zhi Zheng, Ge Xin
doaj   +2 more sources

Comprehensive Separation Algorithm for Single-Channel Signals Based on Symplectic Geometry Mode Decomposition [PDF]

Sensors
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 ...
Xinyu Wang, Jin Zhao, Xianliang Wu
doaj   +2 more sources

Symplectic Bregman Divergences [PDF]

Entropy
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 ...
Frank Nielsen
doaj   +2 more sources

Symplectic Geometry of Entanglement [PDF]

Communications in Mathematical Physics, 2011
LaTex, 31 pages, typos ...
Marek Kus, Adam Sawicki
exaly   +4 more sources

Ammann Tilings in Symplectic Geometry [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2013
In this article we study Ammann tilings from the perspective of symplectic geometry. Ammann tilings are nonperiodic tilings that are related to quasicrystals with icosahedral symmetry.
Fiammetta Battaglia, Elisa Prato
doaj   +6 more sources

A Novel Joint Denoising Method for Hydrophone Signal Based on Improved SGMD and WT [PDF]

Sensors
Underwater acoustic technology as an important means of exploring the oceans is receiving more attention. Denoising for underwater acoustic information in complex marine environments has become a hot research topic.
Tianyu Xing, Xiaohao Wang, Kai Ni, Qian Zhou   +3 more
doaj   +2 more sources

The Geometry of Symplectic Energy [PDF]

The Annals of Mathematics, 1995
Abstract shortened in migration.
Lalonde, François, McDuff, Dusa
openaire   +2 more sources

Basic Notions of Poisson and Symplectic Geometry in Local Coordinates, with Applications to Hamiltonian Systems

Universe, 2022
This work contains a brief and elementary exposition of the foundations of Poisson and symplectic geometries, with an emphasis on applications for Hamiltonian systems with second-class constraints.
Alexei A. Deriglazov
doaj   +1 more source

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.
Lavrov, P. M., Radchenko, O. V.
openaire   +2 more sources