Title
Classification Of Invariant Algebraic Curves And Nonexistence Of Algebraic Limit Cycles In Quadratic Systems From Family (I) Of The Chinese Classification
Abstract
We give the complete classification of irreducible invariant algebraic curves in quadratic systems from family (I) of the Chinese classification, that is, of differential systemx' = y, y' = delta y - x + ly(2) + mxy + nx(2)with delta, l, m, n is an element of C. In addition, we provide a complete and correct proof of the nonexistence of algebraic limit cycles for these equations.
Year
DOI
Venue
2020
10.1142/S021812742050056X
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Invariant algebraic curve, Darboux polynomial, algebraic limit cycle, Poincare problem
Journal
30
Issue
ISSN
Citations 
4
0218-1274
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Maria V. Demina100.34
Cláudia Valls2118.99