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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 482305, 10 pages
Research Article

On the Formal Integrability Problem for Planar Differential Systems

1Departamento de Matemàticas, Facultad de Ciencias, Avda. Tres de Marzo s/n, 21071 Huelva, Spain
2Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II, 69, 25001 Lleida, Catalonia, Spain

Received 15 November 2012; Accepted 28 January 2013

Academic Editor: Sung Guen Kim

Copyright © 2013 Antonio Algaba et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [5 citations]

The following is the list of published articles that have cited the current article.

  • Masa Dukaric, and Brigita Fercec, “The solution of the 1:-3 resonant center problem in the quadratic case,” Applied Mathematics and Computation, vol. 237, pp. 501–511, 2014. View at Publisher · View at Google Scholar
  • Wentao Huang, Tianlong Gu, and Huili Li, “Integrability of fractional order generalized systems with p : -q resonance,” Chaos Solitons & Fractals, vol. 67, pp. 82–86, 2014. View at Publisher · View at Google Scholar
  • Brigita Ferčec, Jaume Giné, Valery G. Romanovski, and Victor F. Edneral, “Integrability of complex planar systems with homogeneous nonlinearities,” Journal of Mathematical Analysis and Applications, 2015. View at Publisher · View at Google Scholar
  • Maša Dukarić, and Jaume Giné, “Integrability of Lotka–Volterra Planar Complex Cubic Systems,” International Journal of Bifurcation and Chaos, vol. 26, no. 01, pp. 1650002, 2016. View at Publisher · View at Google Scholar
  • Jaume Gine, and Claudia Valls, “Integrability conditions of a resonant saddle in Lienard-like complex systems,” Chaos Solitons & Fractals, vol. 82, pp. 139–141, 2016. View at Publisher · View at Google Scholar