The cyclicity and period function of a class of quadratic reversible Lotka–Volterra system of genus one
The cyclicity and period function of a class of quadratic reversible Lotka–Volterra system of genus one
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DOI：
10.1016/j.jmaa.2010.11.048
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发表时间：
2011-05
影响因子：
1.3
通讯作者：
Yi-Shi Shao;Yulin Zhao
中科院分区：
文献类型：
--
作者：
Yi-Shi Shao;Yulin Zhao
研究了一类亏格为1的二次可逆Lotka-Volterra系统z stec =iz+z2+bz 2，其中B=3/5.证明了周期环在二次扰动下的周期性等于2。此外，我们还证明了其周期轨线的周期函数是单调递增的。
In this paper, we investigate a class of quadratic reversible Lotka–Volterra system of genus one z˙=iz+z2+bz¯2with b=3/5. It is proved that the cyclicity of the period annulus under quadratic perturbations is equal to two. Moreover, we prove that the period function of its period trajectories is monotone increasing.