Results 91 to 100 of about 58,877 (128)

Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System

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
doaj  

Projection methods for some constrained systems [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2003
This article is concerned with a geometric tool given by a pair of projector operators defined by almost product structures on finite dimensional manifolds, polarized by a distribution of constant rank and also endowed with some geometric structures ...
Paulo Pitanga, Paulo R. Rodrigues
doaj  

Accuracy-Improved Fault Diagnosis Method for Rolling Bearing Based on Enhanced ESGMD-CC and BA-ELM Model

Shock and Vibration
The 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, Fuzheng Liu, Hongbin Gu, Fei Miao, Faye Zhang, Mingshun Jiang   +5 more
doaj   +1 more source

$\mathbf {5 \times 5}$ -graded Lie algebras, cubic norm structures and quadrangular algebras

Forum of Mathematics, Sigma
We 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
doaj   +1 more source

Symplectic Realization of Generalized Snyder–Poisson Algebra

Universe
We investigate Snyder spacetime and its generalizations, including Yang and Snyder–de Sitter spaces, which constitute manifestly Lorentz-invariant noncommutative geometries.
V. G. Kupriyanov, E. L. F. de Lima
doaj   +1 more source

Multipole Vortex Blobs (MVB): Symplectic Geometry and Dynamics. [PDF]

J Nonlinear Sci, 2017
Holm DD, Jacobs HO.
europepmc   +1 more source

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.
europepmc   +1 more source

Geometric Structures Induced by Deformations of the Legendre Transform. [PDF]

Entropy (Basel), 2023
Morales PA, Korbel J, Rosas FE.
europepmc   +1 more source

Symplectic Geometry of Teichmüller Spaces for Surfaces with Ideal Boundary. [PDF]

Commun Math Phys
Alekseev A, Meinrenken E.
europepmc   +1 more source

Pointillisme à la Signac and Construction of a Quantum Fiber Bundle Over Convex Bodies. [PDF]

Found Phys, 2023
de Gosson M, de Gosson C.
europepmc   +1 more source