Open AccessA new type of conserved quantities for Birkhoffian systems*
Author(s) -
Yi Zhang,
Congbin Fan,
Ge Wei-Kuan
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.3644
Subject(s) - conserved quantity , infinitesimal , conservation law , type (biology) , homogeneous space , inverse , physics , dynamical systems theory , mathematical physics , equations of motion , classical mechanics , mathematics , mathematical analysis , quantum mechanics , geometry , biology , ecology
This paper gives a new type of conserved quantities for Birkhoffian systems. First, the equations of motion of the systems are established, and the definitions and criterions of Mei symmetries are given. Next, an existence theorem for the n ew type of conserved quantities of the systems is given, and the generalized Killing equations used to determine the infinitesimal generators are deduced. Finally, the inverse theorem of the conservation law is established.