A Necessary Condition for Existence of Lie Symmetries in General Systems of Ordinary Differential Equations

Journal of the Physical Society of Japan

Volumn 71, Issue 10, 2002, Pages 2396-2400

  Hirata, Yoshihiro ^a   Imai, Kenji ^b  

^a NAGOYA UNIVERSITY   (Japan)

^b DAIDO UNIVERSITY   (Japan)

Author keywords

Kowalevskaya exponent; Lie symmetry

Indexed keywords

ARTICLE; CALCULATION; LIE SYMMETRY; MOLECULAR DYNAMICS; MOLECULAR PHYSICS; PHASE TRANSITION;

EID: 0036967486     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.71.2396     Document Type: Article

References (8)

1. P. J. Olver: Applications of Lie Groups to Differential Equations (Springer-Verlag, New York, 1986).
2. CRC Handbook of Lie Group Analysis of Differential Equations, ed. N. H. Ibragimov (CRC, 1994-1996) Vols. 1-3.
3. H. Yoshida: Cele. Mech. 31 (1983) 363; ibid. 31 (1983) 381.
4. H. Yoshida: Cele. Mech. 31 (1983) 363; ibid. 31 (1983) 381.
5. V. V. Kozlov: Math. Notes 51 (1992) 42.
6. S. D. Furta: Z. Angew. Math. Phys. 47 (1996) 112.
7. A. Goriely: J. Math. Phys. 37 (1996) 1871; Regular Chaotic Dynam. 5 (2000) 3.
8. A. Goriely: J. Math. Phys. 37 (1996) 1871; Regular Chaotic Dynam. 5 (2000) 3.