A Simple Solution to the Braga-Mello Conjecture
A Simple Solution to the Braga-Mello Conjecture
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DOI：
10.1142/s0218127415500091
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发表时间：
2014-05
期刊：
影响因子：
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通讯作者：
D. Novaes;E. Ponce
中科院分区：
文献类型：
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作者：
D. Novaes;E. Ponce
最近，Braga和Mello猜想，对于给定的自然数n，平面上有两个区域的分段线性系统恰好有n个极限环。在这篇文章中，我们证明了一个结果，由此猜想是一个直接结果。给出了几个具体的例子，给出了极限环的位置和稳定性。
Recently Braga and Mello conjectured that for a given natural number n there is a piecewise linear system with two zones in the plane with exactly n limit cycles. In this paper we prove a result from which the conjecture is an immediate consequence. Several explicit examples are given where location and stability of limit cycles are provided.