Autor:	Gaiko, Valery A., van Horssen, Wim T.
Rok vydání:	2008
Předmět:	Mathematics - Dynamical Systems Mathematics - Classical Analysis and ODEs 34C05 34C05 34C07 34C23 37G10 37G15
Druh dokumentu:	Working Paper
Popis:	In this paper, we consider a planar dynamical system with a piecewise linear function containing an arbitrary number (but finite) of dropping sections and approximating some continuous nonlinear function. Studying all possible local and global bifurcations of its limit cycles, we prove that such a piecewise linear dynamical system with $k$ dropping sections and $2k+1$ singular points can have at most $k+2$ limit cycles, $k+1$ of which surround the foci one by one and the last, $(k+2)$-th, limit cycle surrounds all of the singular points of this system. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0803.0490 Zobrazit plný text záznamu View this record from Arxiv