Global bifurcations of limit cycles in the Kukles cubic system

Autor:	Gaiko, Valery A.
Rok vydání:	2016
Předmět:	Mathematics - Dynamical Systems 34C05 34C07 34C23 37G05 37G10 37G15
Druh dokumentu:	Working Paper
Popis:	In this paper, using our bifurcational geometric approach, we solve the problem on the maximum number and distribution of limit cycles in the Kukles system representing a planar polynomial dynamical system with arbitrary linear and cubic right-hand sides and having an anti-saddle at the origin. We also apply alternatively the Wintner-Perko termination principle to solve this problem. Comment: 14 pages. arXiv admin note: substantial text overlap with arXiv:math/0611142, arXiv:math/0611143, arXiv:0803.3055, arXiv:1202.3540
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1611.08113 Zobrazit plný text záznamu View this record from Arxiv