TY - CHAP
T1 - New Advances on the Lyapunov Constants of Some Families of Planar Differential Systems
AU - Sánchez-Sánchez, Iván
AU - Torregrosa, Joan
PY - 2019/1/1
Y1 - 2019/1/1
N2 - © 2019, Springer Nature Switzerland AG. This note presents some advances regarding the Lyapunov constants of some families of planar polynomial differential systems, as a first step toward the resolution of the center and cyclicity problems. First, a parallelization approach is computationally implemented to achieve the 14th Lyapunov constant of the complete cubic family. Second, a technique based on interpolating some specific quantities so as to reconstruct the structure of the Lyapunov constants is used to study a Kukles system, some fifth-degree homogeneous systems, and a quartic system with two invariant lines.
AB - © 2019, Springer Nature Switzerland AG. This note presents some advances regarding the Lyapunov constants of some families of planar polynomial differential systems, as a first step toward the resolution of the center and cyclicity problems. First, a parallelization approach is computationally implemented to achieve the 14th Lyapunov constant of the complete cubic family. Second, a technique based on interpolating some specific quantities so as to reconstruct the structure of the Lyapunov constants is used to study a Kukles system, some fifth-degree homogeneous systems, and a quartic system with two invariant lines.
UR - http://www.mendeley.com/research/new-advances-lyapunov-constants-some-families-planar-differential-systems
U2 - 10.1007/978-3-030-25261-8_25
DO - 10.1007/978-3-030-25261-8_25
M3 - Chapter
SN - 2297-0215
VL - 11
T3 - Trends in Mathematics
SP - 161
EP - 167
BT - Trends in Mathematics
ER -