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Symplectic Geometry for Engineers, Fundamentals


The mathematical theory underlying Hamiltonian mechanics is called symplectic geometry. So symplectic geometry arose from the roots of mechanics and is seen as one of the most valuable links between physics and mathematics today.
Stefan Goessner
semanticscholar   +1 more source

Canonoid transformation and master symmetries of Hamiltonian systems on locally conformal symplectic manifold

Journal of Mathematics and Physics
The paper investigates various types of transformations in Hamiltonian vector fields on locally conformal symplectic (LCS) manifolds, using a geometric approach.
Xuefeng Zhao
semanticscholar   +1 more source

Differential Geometry

New Spaces in Mathematics, 2021
J. Dupont
semanticscholar   +1 more source

Problems of Lifts in Symplectic Geometry

Chinese Annals of Mathematics. Series B, 2019
A. Salimov, M. Behboudi Asl, S. Kazimova
semanticscholar   +1 more source

A novel fault diagnosis procedure based on improved symplectic geometry mode decomposition and optimized SVM

Measurement: Journal of the International Measurement Confederation, 2021
Xiaoyuan Zhang, Chaoshun Li, Huanmei Wu
exaly  

Preface of the Special Issue on Symplectic Geometry and Mathematical Physics

Acta Mathematica Sinica, English Series
Huijun Fan, Xiaobo Liu, Gang Tian
openaire   +1 more source

Symplectic geometry packet decomposition and its applications to gear fault diagnosis

Mechanical Systems and Signal Processing, 2022
Jian Cheng
exaly  

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