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FOCM
2008
101views more  FOCM 2008»
13 years 4 months ago
Algorithms for Differential Invariants of Symmetry Groups of Differential Equations
We develop new computational algorithms, based on the method of equivariant moving frames, for classifying the differential invariants of Lie symmetry pseudo-groups of differential...
Jeongoo Cheh, Peter J. Olver, Juha Pohjanpelto
CORR
2006
Springer
88views Education» more  CORR 2006»
13 years 4 months ago
Polynomial Time Nondimensionalisation of Ordinary Differential Equations via their Lie Point Symmetries
Lie group theory states that knowledge of a m-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by m the number of equation. ...
Evelyne Hubert, Alexandre Sedoglavic
MOC
2002
82views more  MOC 2002»
13 years 4 months ago
Lie symmetries and differential Galois groups of linear equations
For a linear ordinary differential equation the Lie algebra of its infinitesimal Lie symmetries is compared with its differential Galois group. For this purpose an algebraic formul...
W. R. Oudshoorn, M. van der Put
AB
2007
Springer
13 years 8 months ago
Reduction of Algebraic Parametric Systems by Rectification of Their Affine Expanded Lie Symmetries
Lie group theory states that knowledge of a m-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by m the number of equations. ...
Alexandre Sedoglavic
CDC
2009
IEEE
157views Control Systems» more  CDC 2009»
13 years 8 months ago
A PDE viewpoint on basic properties of coordination algorithms with symmetries
Several recent control applications consider the coordination of subsystems through local interaction. Often the interaction has a symmetry in state space, e.g. invariance with res...
Alain Sarlette, Rodolphe Sepulchre