TY - JOUR
AU - Mitrofan CIOBAN
PY - 2018/12/20
Y2 - 2021/06/22
TI - AROUND THE POINCARE CENTER-FOCUS PROBLEM
JF - Acta et Commentationes Exact and Natural Sciences
JA - ActaEX
VL - 6
IS - 2
SE -
DO - 10.36120/2587-3644.v6i2.11-19
UR - https://revista.ust.md/index.php/acta_exacte/article/view/364
AB - It is well known that many mathematical models use differential equation systems and apply the qualitative theory of differential equations, introduced by Poincar´e and Liapunoff. One of the problems that persists in order to control the behavior of systems of this type, is to distinguish between a focus or a center (the Center-Focus Problem). The solving of this problem goes through the computation of the Poincar´e Liapunoff quantities. The problem of estimating the maximal number of algebraically independent essential constants is called the Generalized Center-Focus Problem. The present article contains: some moments related to the history of the Center-Focus Problem; the contribution of the Academician C. Sibirschi’sschool in the solving of the Center-Focus Problem; methodological aspects of the M. N. Popa and V. V.Pricop solution of the Generalized Center-Focus Problem.
ER -