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On the number of critical periods for planar polynomial systems of arbitrary degree |
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| Authors: | Armengol Gasull Changjian Liu Jiazhong Yang |
| Institution: | a Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain b School of Mathematical Sciences, Suzhou University, Suzhou 215006, China c School of Mathematical Sciences, Peking University, Beijing 100871, China |
| Abstract: | We construct a class of planar systems of arbitrary degree n having a reversible center at the origin and such that the number of critical periods on its period annulus grows quadratically with n. As far as we know, the previous results on this subject gave systems having linear growth. |
| Keywords: | primary 34C25 secondary 34C08 37C27 34C07 |
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