论文标题
一个潜在的系统，具有许多关键时期
A potential system with infinitely many critical periods
论文作者
论文摘要
在本文中，我们提出了一个分析性的非物质潜在系统，该系统在相位平面中具有无限的许多关键周期轨道。通过显示无限的许多$2π-$周期性解决方案的存在，可以证明差异方法和贝塞尔函数的属性。结果为Dumortier的猜想提供了一个肯定的例子[非线性肛门。 20（1993）]。
In this paper, we propose an analytical non-polynomial potential system which has infinitely many critical periodic orbits in phase plane. By showing the existence of infinitely many $2π-$ periodic solutions, the proof bases on variational methods and the properties of Bessel function. The result provides an affirmative example to Dumortier's conjecture [Nonlinear Anal. 20(1993)].
