Geometric proof of Lie's linearization theorem

Nonlinear Dynamics

Volumn 36, Issue 1, 2004, Pages 41-46

  Ibragimov, Nail H ^a   Magri, Franco ^b  

^a BLEKINGE INSTITUTE OF TECHNOLOGY   (Sweden)

^b UNIVERSITY OF MILANO BICOCCA   (Italy)

Author keywords

Christoffel's symbols; Geodesic flow; Lie's linearization test; Riemann's tensor

Indexed keywords

COMPUTER AIDED ANALYSIS; DIFFERENTIAL EQUATIONS; LINEAR EQUATIONS; MATHEMATICAL TECHNIQUES; TENSORS; THEOREM PROVING;

CHRISTOFFEL'S SYMBOLS; GEODESIC FLOW; LIE'S LINEARIZATION TEST; RIEMANN'S TENSOR;

LINEARIZATION;

EID: 3242813742     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:NODY.0000034645.77245.26     Document Type: Article

References (4)

1. Lie, S., 'Klassifikation und Integration von gewöhnlichen Differentialgleichungen zwischen x, y, die eine Gruppe von Transformationen gestatten. III', Archiv for Matematik og Naturvidenskab 8 (Kristiania, 1883), 371-458 [reprinted in Lie's Gestammelte Abhandlundgen 5, 1924, paper XIV, 362-427].
2. Lie, S., 'Klassifikation und Integration von gewöhnlichen Differentialgleichungen zwischen x, y, die eine Gruppe von Transformationen gestatten. III', Archiv for Matematik og Naturvidenskab 8 (Kristiania, 1883), 371-458 [reprinted in Lie's Gestammelte Abhandlundgen 5, 1924, paper XIV, 362-427].
3. Ibragimov, N. H., Elementary Lie Group Analysis and Ordinary Differential Equations, Wiley, Chichester, UK, 1999.
4. Ibragimov, N. H., 'Invariants of a remarkable family of nonlinear equations', Nonlinear Dynamics 30(2), 2002, 155-166.