Limit cycles of cubic polynomial vector fields via the averaging theory

By Jaume Giné Mesa, Jaume Llibre. 2007

60 citations recorded by the source corpus.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/7713f3a9a42e1f816e3978cfe5f682e42f6cb57b

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In Geometry and Topology

1. Maite Grau
2. Jaume Giné Mesa
3. Jaume Llibre
4. Xiang Zhang
5. Douglas Duarte Novaes
6. Isaac A. García
7. Maoan Han
8. Marco Antonio Teixeira

Citations in the corpus

• Averaging theory at any order for computing periodic orbits (2013, methodology): “We note that Theorem 6 was stated by Iliev using Melnikov functions and that in dimension two the zeroes of the s-th Melnikov functions coincide with the zeroes of rs(2π, z), for more details see [4].”