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Reduction and reconstruction of multisymplectic Lie systems
A Lie system is a non-autonomous system of first-order ordinary differential equations describing the integral curves of a non-autonomous vector field taking values in a finite-dimensional real Lie algebra of vector fields, ...
A software package for Lie algebraic computations
(SIAM PUBLICATIONS, 2005)
The paper presents a computer algebra package that facilitates Lie algebraic symbolic computations required in the solution of a variety of problems, such as the solution of right-invariant differential equations evolving ...
Controllability of linear systems on non-abelian compact lie groups
(Pontificia Universidad Católica del PerúPE, 2017)
Control Sets Of Linear Systems On Lie Groups
(Springer Basel AGBasel, 2017)
A Lie algebra approach to Lie group time integration of constrained systems
(Springer International Publishing, 2016)
Lie group integrators preserve by construction the Lie group structure of a nonlinear configuration space. In multibody dynamics, they support a representation of (large) rotations in a Lie group setting that is free of ...
Álgebras de Lie, grupos de Lie e aplicações a teoria de ações de semigrupos
(BrasilDepartamento de MatemáticaPrograma de Pós-Graduação em MatemáticaUEMMaringá, PRCentro de Ciências Exatas, 2019)
A Semigroup Associated To A Linear Control System On A Lie Group
(Elsevier Science BVAmsterdam, 2016)
Dispersiveness of control affine systems on nilpotent Lie groups : invariant and linear systems
(Programa de Pós-Graduação em MatemáticaCentro de Ciências Exatas, 2023)
Affine Systems On Lie Groups And Invariance Entropy
(Institute of Electrical and Electronics Engineers Inc., 2016)