TY - JOUR
T1 - Configurations of critical points in complex polynomial differential equations
AU - Gasull, A.
AU - Álvarez, M. J.
AU - Prohens, R.
PY - 2009/8/1
Y1 - 2009/8/1
N2 - In this work we focus on the configuration (location and stability) of simple critical points of polynomial differential equations of the form over(z, ̇) = f (z), z ∈ C. The case where all the critical points are of center type is studied in more detail finding several new center configurations. One of the main tools in our approach is the 1-dimensional Euler-Jacobi formula. © 2008 Elsevier Ltd. All rights reserved.
AB - In this work we focus on the configuration (location and stability) of simple critical points of polynomial differential equations of the form over(z, ̇) = f (z), z ∈ C. The case where all the critical points are of center type is studied in more detail finding several new center configurations. One of the main tools in our approach is the 1-dimensional Euler-Jacobi formula. © 2008 Elsevier Ltd. All rights reserved.
KW - Center type critical points
KW - Configuration of singularities
KW - Euler-Jacobi formula
KW - Holomorphic vector field
KW - Polynomial vector field
UR - https://www.scopus.com/pages/publications/67349276113
U2 - 10.1016/j.na.2008.11.018
DO - 10.1016/j.na.2008.11.018
M3 - Article
SN - 0362-546X
VL - 71
SP - 923
EP - 934
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
ER -