Conformal symmetries of dynamical systems and Poincare 1892 concept of iso-energetic non-degeneracy

被引：6
作者：
Bogoyavlenskij, OI [1 ]
机构：
[1] Queens Univ, Dept Math, Kingston, ON K7L 3N6, Canada
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 326卷 / 02期
关键词：
D O I：
10.1016/S0764-4442(97)89473-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The concept of conformal symmetries is introduced for dynamical systems. It is proved that a C-integrable Hamiltonian system is non-degenerate in the iso-energetic sense of Poincare if and only if its Lie algebra of iso-energetic conformal symmetries is Abelian.
引用
收藏
页码：213 / 218
页数：6
相关论文
共 10 条
[1]  
Abraham R., 1978, Foundations of mechanics
[2]  
Arnold VI, 1963, USP MAT NAUK, V18, P113
[3]   Theory of tensor invariants of integrable Hamiltonian systems .1. Incompatible Poisson structures [J].
Bogoyavlenskij, OI .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 180 (03) :529-586
[4]   Theory of tensor invariants of integrable Hamiltonian systems .2. Theorem on symmetries and its applications [J].
Bogoyavlenskij, OI .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 184 (02) :301-365
[5]   MASTERSYMMETRIES, HIGHER-ORDER TIME-DEPENDENT SYMMETRIES AND CONSERVED-DENSITIES OF NONLINEAR EVOLUTION-EQUATIONS [J].
FUCHSSTEINER, B .
PROGRESS OF THEORETICAL PHYSICS, 1983, 70 (06) :1508-1522
[6]  
JOST R, 1968, HELV PHYS ACTA, V41, P965
[7]  
Kolmogorov A.N., 1957, P INT C MATH AMST N, VI, P315
[8]  
Liouville J., 1855, J MATH PURE APPL, V20, P137
[9]  
Moser J., 1962, NACHR AKAD WISS GOTT, VII, P1
[10]  
Poincare H., 1892, METHODES NOUVELLES M, V1
1