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Research article

First published 2002-1

On the geometry of rigid-body motions: The relation between Lie groups and screws

S Stramigioli, B Maschke, C Bidard

Proceedings of the Institution of Mechanical Engineers,Part C: Journal of Mechanical Engineering Science

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Research article

First published 2018-4

The Lie group Euler methods of multibody system dynamics with holonomic constraints

Jieyu Ding, Zhenkuan Pan

Advances in Mechanical Engineering

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Research article

First published 2015-3

Dynamical equations of multibody systems on Lie groups

Wenjie Yu, Zhenkuan Pan

Advances in Mechanical Engineering

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Research article

First published 2023-9-1

Nonlinear fractional damped wave equation on compact Lie groups

Aparajita Dasgupta, Vishvesh Kumar, Shyam Swarup Mondal

Asymptotic Analysis

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Research article

First published 2012-2

Using Lie group symmetries for fast corrective motion planning

Konstantin M Seiler, Surya PN Singh, Salah Sukkarieh [...]

The International Journal of Robotics Research

Open access

Research article

First published 2019-4

The constraint-stabilized implicit methods on Lie group for differential-algebraic equations of multibody system dynamics

Jieyu Ding, Zhenkuan Pan, Wei Zhang

Advances in Mechanical Engineering

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Research article

First published 2005-06

A Lie Group Analysis of the Axisymmetric Equations of Finite Elastostatics for Compressible Materials

Cornelius O. Horgan, Jeremiah G. Murphy

Mathematics and Mechanics of Solids

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Research article

First published 2015-7

Topology synthesis of three-legged spherical parallel manipulators employing Lie group theory

Yang Qi, Tao Sun, Yimin Song [...]

Proceedings of the Institution of Mechanical Engineers,Part C: Journal of Mechanical Engineering Science

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Research article

First published 2025-8

Integro-differential diffusion equations on graded Lie groups

Joel E. Restrepo, Michael Ruzhansky, Berikbol T. Torebek

Asymptotic Analysis

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Research article

First published 2025-7

On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak L 1 data

Subhashree Sahu, Debajyoti Choudhuri, Dušan D. Repovš

Asymptotic Analysis

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