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.

Авторы
Ferčec B.1, 2 , Giné J.3 , Romanovski V.G.2, 4 , Edneral V.F. 5, 6
Редакторы
-
Издательство
Academic Press Inc.
Номер выпуска
1
Язык
Английский
Страницы
894-914
Статус
Опубликовано
Подразделение
-
Номер
19800
Том
434
Год
2016
Организации
  • 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
Ключевые слова
Center problem; Integrability; Time-reversibility
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4301/