The Number of Zeros of Abelian Integral for a Quintic Hamiltonian Systems With a Rose-Figure Loop
The Number of Zeros of Abelian Integral for a Quintic Hamiltonian Systems With a Rose-Figure Loop
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DOI：
10.1080/1726037x.2020.1774157
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发表时间：
2020-01
影响因子：
0.9
通讯作者：
Aiyong Chen;Huiyang Zhang
中科院分区：
文献类型：
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作者：
Aiyong Chen;Huiyang Zhang
本文考虑拟哈密顿系统，其中a<；0，0<；|ε|<；<；1，f(x，y)和g(x，y)是n次多项式(n=2 m，m≥3，m∈N)。估计了h-∈对应的阿贝尔积分的孤立零点个数。
Abstract In this article, we consider the near-Hamiltonian system where a < 0, 0 < |ε| << 1, f (x, y) and g(x, y) are polynomials of degree n ( n = 2 m , m ≥ 3, m ∈ N ). The number of isolated zeros of the corresponding Abelian integral for h ∈ is estimated.