XIONG Feng, HUANG Wentao. Small amplitude limit cycles for two classes of Liénard systems[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2017,56(3):66-70.
XIONG Feng, HUANG Wentao. Small amplitude limit cycles for two classes of Liénard systems[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2017,56(3):66-70.DOI:
The number of limit cycles for classes of Liénard systems (m=6
n=8) and (m=8
n=6) in the neighborhood of the origin is studied. It is proved that the two systems can generate 9 and 8 limit cycles in a sufficiently small neighborhood of the origin
respectively. It is the first time that lower bound estimations of H(6