International Journal of Environmental and Science Education.
IJESE.
Vol. 11.
2016.
P. 10581-10589
Integrability of complex planar systems with homogeneous nonlinearities
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. © 2015.
Authors
Ferčec B.1,
2
,
Giné J.3
,
Romanovski V.G.2,
4
,
Edneral V.F.
5,
6
Publisher
Academic Press Inc.
Number of issue
1
Language
English
Pages
894-914
Status
Published
Link
Number
19800
Volume
434
Year
2016
Organizations
- 1 Faculty of Energy Technology, University of Maribor, Hočevarjev trg 1, Krško, SI-8270, Slovenia
- 2 Center for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova 2, Maribor, SI-2000, Slovenia
- 3 Departament de Matemàtica, Universitat de Lleida, Av. Jaume II, 69, Lleida, Catalonia, 25001, Spain
- 4 Faculty of Natural Science and Mathematics, University of Maribor, Koroška c. 160, Maribor, SI-2000, Slovenia
- 5 Skobeltsyn Institute of Nuclear Physics Lomonosov Moscow State University (SINP MSU), 1(2), Leninskie gory, GSP-1, Moscow, 119991, Russian Federation
- 6 Faculty of Physics, Mathematics and Natural Sciences of Peoples' Friendship University of Russia (PFUR), Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
Keywords
Center problem; Integrability; Time-reversibility
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Other records
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics).
Vol. 9870 LNCS.
2016.
P. 426-439