摘要
本文对具有Dirac梳控制项的Logistic方程和Lotka-Volterra方程进行了研究。首先证明了具有Dirac梳控制项的Logistic方程和某些具有Dirac梳控制项的Lotka-Volterra方程可准确地化为离散映射;然后给出两个二维离散动力系统浑沌行为的判定法则;最后讨论了几个具体离散系统的浑沌行为。
In this paper,author studies chaotic behavior for Solutions of Logistic and Lotka-Volterra's equation with Dirac Comb. First author Proves two general theorems for some Logistic and Lotka-Volterra's equation with Dirac comb can be transformed into discrete mapping. Secondly, author uses technical results([3] , Lemma3.1, 4.1) can establish conditions for chaotic behavior of some discrete mapping.
出处
《生物数学学报》
CSCD
北大核心
1990年第2期177-187,共11页
Journal of Biomathematics
关键词
Dirac梳
浑沌
离散映射
Dirac comb, discrete mapping, chaos, Feigenbaum divide branch, 3-Period point.
