论文标题
限制周期的分叉在分段二次差分系统中具有不变直线的分叉
Bifurcation of limit cycles in piecewise quadratic differential systems with an invariant straight line
论文作者
论文摘要
我们在具有不变直线的一类分段二次多项式差异系统中解决了中心对焦问题。分离曲线也是不变的直线。我们为起源的家庭提供最大秩序的薄弱环节。在连续的课程中，也解决了循环问题，最大数量为$ 3 $。此外，对于不连续的类，但没有滑动段，我们证明了$ 7 $的限制小幅度的限制周期。
We solve the center-focus problem in a class of piecewise quadratic polynomial differential systems with an invariant straight line. The separation curve is also a straight line which is not invariant. We provide families having at the origin a weak-foci of maximal order. In the continuous class, the cyclicity problem is also solved, being $3$ such maximal number. Moreover, for the discontinuous class but without sliding segment, we prove the existence of $7$ limit cycles of small amplitude.
