Integrability of complex planar systems with homogeneous nonlinearities

Fercec, Brigita; Giné, Jaume; Romanovski, Valery G.; Edneral, Victor F.

doi:https://doi.org/10.1016/j.jmaa.2015.09.037

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Issue date

2016

Author

Fercec, Brigita

Giné, Jaume

Romanovski, Valery G.

Edneral, Victor F.

Suggested citation

Fercec, Brigita; Giné, Jaume; Romanovski, Valery G.; Edneral, Victor F.; . (2016) . Integrability of complex planar systems with homogeneous nonlinearities. Journal of Mathematical Analysis and Applications, 2016, vol. 434, núm. 1, p. 894-914. https://doi.org/10.1016/j.jmaa.2015.09.037.

Abstract

In this paper we obtain sufficient conditions for the existence of a local analytic first integral for a family of quintic systems having homogeneous nonlinearities. The family studied in this work is the largest one classified until now for systems with such nonlinearities. We propose also an approach to find reversible systems within polynomial families of Lotka-Volterra systems with homogeneous nonlinearities.

URI

http://hdl.handle.net/10459.1/58374

DOI

https://doi.org/10.1016/j.jmaa.2015.09.037

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Journal of Mathematical Analysis and Applications, 2016, vol. 434, núm. 1, p. 894-914

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Except where otherwise noted, this item's license is described as cc-by-nc-nd (c) Elsevier, 2016