Small-amplitude limit cycles of polynomial Liénard systems |
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| Authors: | MaoAn Han Yun Tian Pei Yu |
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| Institution: | 14618. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China
24618. Department of Applied Mathematics, The University of Western Ontario, Ontario, N6A 5B7, Canada
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| Abstract: | In this paper, we study the number of limit cycles appeared in Hopf bifurcations of a Liénard system with multiple parameters. As an application to some polynomial Liénard systems of the form .x = y, .y = ?g m (x) ? f n (x)y, we obtain a new lower bound of maximal number of limit cycles which appear in Hopf bifurcation for arbitrary degrees m and n. |
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