Limit cycles in an m-piecewise discontinuous polynomial differential system
In this paper, I study a planar $ m $-piecewise discontinuous polynomial differential system $ \dot{x} = y, \dot{y} = -x-\varepsilon(f(x, y)+g_m(x, y)h(x)) $, which has a linear center in each zone partitioned by those switching lines, where $ f(x, y) = \sum_{i+j = 0}^na_{ij}x^iy^j $, $ h(x) = \sum_...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024177?viewType=HTML |