周期轨道的Lotka-Volterra系统

IF 0.7 4区数学 Q2 MATHEMATICS

Funkcialaj Ekvacioj-Serio Internacia Pub Date : 2019-01-01 DOI:10.1619/FESI.62.129

Manami Kobayashi, Takashi Suzuki, Yoshio Yamada

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引用次数: 0

摘要

研究了与物种间偏对称相互作用有关的Lotka-Volterra系统。我们选择了这个模型的某种形式提供了守恒量，使得所有的解都是周期性的除了平衡态。这个类是由一组代数条件显式给出的。如果系统有N个分量，我们分别有2n3和2n1个自由度没有线性项和有线性项。

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Lotka-Volterra Systems with Periodic Orbits

Lotka-Volterra systems associated with skew-symmetric interaction between species are studied. We pick up some form of this model provided with conserved quantities, which makes all the solutions to be periodic-in-time except for the equilibrium. This class is explicitly given by a set of algebraic conditions on coe‰cients. If the system takes N components, we have 2N 3 and 2N 1 degrees of freedom without and with linear terms, respectively.

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