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Quasi-periodic solutions of the Lotka-Volterra Competition Systems with Quasi-periodic Perturbations
Qihuai Liu 1 #,Dingbian Qian 2 * #,Zhiguo Wang 2
1.School of Mathematical Sciences, Soochow University; School of Mathematics and Computing Science，Guilin University of Electronic Technology
2.School of Mathematical Sciences, Soochow University
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金（No.10871142）, 教育部博士点基金（No.20070285002）
Opened online:11 January 2011
Accepted by: none
Citation: Qihuai Liu,Dingbian Qian,Zhiguo Wang.Quasi-periodic solutions of the Lotka-Volterra Competition Systems with Quasi-periodic Perturbations[OL]. [11 January 2011] http://en.paper.edu.cn/en_releasepaper/content/4403702
 
 
In this paper, we prove the existence of positive quasi-periodic solutions for the Lotka-Volterra competition systems with quasi-periodic coefficients by KAM technique. The result shows that, in most case, quasi-periodic solutions exist for sufficiently small quasi-periodic perturbations of the autonomous Lotka-Volterra systems. Moreover, these quasi-periodic solutions will tend to an equilibrium of the autonomous Lotka-Volterra.
Keywords:Basic mathematics; Lotka-Volterra competition system; quasi-periodic solution; KAM iteration; small denominator
 
 
 

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