Lotka-Volterra Systems with Periodic Orbits

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...

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Veröffentlicht in:Funkcialaj Ekvacioj 2019, Vol.62(1), pp.129-155
Hauptverfasser: Kobayashi, Manami, Suzuki, Takashi, Yamada, Yoshio
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Dynamical systems
Lotka-Volterra system
Orbits
Periodic-in-time solution
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Suzuki, Takashi
Yamada, Yoshio
description 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.
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subjects Dynamical systems
Lotka-Volterra system
Orbits
Periodic-in-time solution
title Lotka-Volterra Systems with Periodic Orbits
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