NONPOLYNOMIAL VECTOR-FIELDS UNDER THE LOTKA-VOLTERRA NORMAL-FORM

Citation
B. Hernandezbermejo et V. Fairen, NONPOLYNOMIAL VECTOR-FIELDS UNDER THE LOTKA-VOLTERRA NORMAL-FORM, Physics letters. A, 206(1-2), 1995, pp. 31-37
Citations number
22
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
206
Issue
1-2
Year of publication
1995
Pages
31 - 37
Database
ISI
SICI code
0375-9601(1995)206:1-2<31:NVUTLN>2.0.ZU;2-N
Abstract
We carry out the generalization of the Lotka-Volterra embedding to flo ws not explicitly recognizable under the generalized Lotka-Volterra fo rmat. The procedure introduces appropriate auxiliary variables, and it is shown how, to a great extent, the final Lotka-Volterra system is i ndependent of their specific definition. Conservation of the topologic al equivalence during the process is also demonstrated.