Cyclicity of nilpotent centers with minimum Andreev number
Author:
Funder
MINECO
AGAUR
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s40879-018-0304-3.pdf
Reference33 articles.
1. Algaba, A., García, C., Giné, J.: Nilpotent centres via inverse integrating factors. European J. Appl. Math. 27(5), 781–795 (2016)
2. Algaba, A., García, C., Giné, J., Llibre, J.: The center problem for $${\mathbb{Z}}_2$$ Z 2 -symmetric nilpotent vector fields. J. Math. Anal. Appl. 466(1), 183–198 (2018)
3. Algaba, A., García, C., Reyes, M.: Existence of an inverse integrating factor, center problem and integrability of a class of nilpotent systems. Chaos Solitons Fractals 45(6), 869–878 (2012)
4. Álvarez, M.J., Gasull, A.: Monodromy and stability for nilpotent critical points. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 15(4), 1253–1265 (2005)
5. Álvarez, M.J., Gasull, A.: Generating limit cycles from a nilpotent critical point via normal forms. J. Math. Anal. Appl. 318(1), 271–287 (2006)
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1. The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor;Advances in Nonlinear Analysis;2023-01-01
2. Center cyclicity for some nilpotent singularities including the ℤ2-equivariant class;Communications in Contemporary Mathematics;2020-08-31
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