TY - JOUR
T1 - Local Darboux first integrals of analytic differential systems
AU - Walcher, Sebastian
AU - Llibre, Jaume
AU - Zhang, Xiang
PY - 2014/1/1
Y1 - 2014/1/1
N2 - We discuss local and formal Darboux first integrals of analytic differential systems, using the theory of Poincaré-Dulac normal forms, and we study the effect of local Darboux integrability on analytic normalization. Moreover we determine local restrictions on classical Darboux integrability of polynomial systems. © 2013 Elsevier Masson SAS.
AB - We discuss local and formal Darboux first integrals of analytic differential systems, using the theory of Poincaré-Dulac normal forms, and we study the effect of local Darboux integrability on analytic normalization. Moreover we determine local restrictions on classical Darboux integrability of polynomial systems. © 2013 Elsevier Masson SAS.
KW - Polynomial differential system
KW - Analytic differential system
KW - Local Darboux first integral
KW - Poincaré-Dulac normal form
UR - https://dialnet.unirioja.es/servlet/articulo?codigo=4648622
U2 - 10.1016/j.bulsci.2013.09.007
DO - 10.1016/j.bulsci.2013.09.007
M3 - Article
SN - 0007-4497
VL - 138
SP - 71
EP - 88
JO - Bulletin des Sciences Mathematiques
JF - Bulletin des Sciences Mathematiques
IS - 1
ER -