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Some dynamical behavior of the Stuart-Landau equation with a periodic excitation

โœ Scribed by Chen Fang-qi; Liang Jian-shu; Chen Yu-shu

Book ID
105575291
Publisher
Springer
Year
2004
Tongue
English
Weight
281 KB
Volume
25
Category
Article
ISSN
0253-4827

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In this paper, we investigate the asymptotic behavior and periodic nature of positive solutions of the difference equation where A โ‰ฅ 0 and 0 โ‰ค ฮฑ โ‰ค 1. We prove that every positive solution of this difference equation approaches x = 1 or is eventually periodic with a period 2, 3 or 4.