Conservation laws and symmetries in competitive systems

Lisa Uechi*, Tatsuya Akutsu


研究成果: Article査読

5 被引用数 (Scopus)


We investigate a conservation law of a system of symmetric 2n-dimensional nonlinear differential equations. We use Lagrangian approach and Noether's theorem to analyze Lotka-Volterra type of competitive system. We observe that the coefficients of the 2n-dimensional nonlinear differential equations are strictly restricted when the system has a conserved quantity, and the relation between a conserved system and Lyapunov function is shown in terms of Noether's theorem. We find that a system of the 2n-dimensional first-order nonlinear differential equations in a symmetric form should appear in a binary-coupled form (BCF), and a BCF has a conserved quantity if parameters satisfy certain conditions. The conservation law manifests characteristic properties of a system of nonlinear differential equations and can be employed to check the accuracy of numerical solutions in the BCF.

ジャーナルProgress of Theoretical Physics Supplement
出版ステータスPublished - 2012

ASJC Scopus subject areas

  • 物理学および天文学(その他)


「Conservation laws and symmetries in competitive systems」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。