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- W3104501650 abstract "In this paper, we study the maximum number, denoted by $H(m,n)$, of hyperelliptic limit cycles of the Li'enard systems $$dot x=y, qquad dot y=-f_m(x)y-g_n(x),$$ where, respectively, $f_m(x)$ and $g_n(x)$ are real polynomials of degree $m$ and $n$, $g_n(0)=0$. The main results of the paper are as follows: In term of $m$ and $n$ of the system, we obtain the upper bound and lower bound of $H(m,n)$ in all the possible cases. Furthermore, these upper bound can be reached in some cases." @default.
- W3104501650 created "2020-11-23" @default.
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- W3104501650 date "2020-02-07" @default.
- W3104501650 modified "2023-09-27" @default.
- W3104501650 title "On the Number of Hyperelliptic Limit Cycles of Liénard Systems" @default.
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- W3104501650 doi "https://doi.org/10.1007/s12346-020-00382-5" @default.
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