Lotka-Volterra Systems with Periodic Orbits

• Kobayashi Manami

  Sanei Hytechs Co., Ltd.

• Suzuki Takashi

  Osaka University

• Yamada Yoshio

  Waseda University

Abstract

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 coefficients. If the system takes N components, we have 2N-3 and 2N-1 degrees of freedom without and with linear terms, respectively.

Journal

• Funkcialaj Ekvacioj

  Funkcialaj Ekvacioj 62 (1), 129-155, 2019

  Division of Functional Equations, The Mathematical Society of Japan

Keywords

• Lotka-Volterra system
• Periodic-in-time solution
• Dynamical systems

Details

• CRID: 1390845713068135936
• NII Article ID: 130007649856
• DOI: 10.1619/fesi.62.129
• ISSN: 05328721
• Web Site: https://www.jstage.jst.go.jp/article/fesi/62/1/62_129/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed