A Condition for the Existence of Period-3 or Period-4 Orbit Solutions in the Lotka–Volterra Difference System

Xiao Ying Sun; J Fang Sun

doi:10.4028/www.scientific.net/AMM.303-306.2826

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 303-306A Condition for the Existence of Period-3 or...

A Condition for the Existence of Period-3 or Period-4 Orbit Solutions in the Lotka–Volterra Difference System

Abstract:

This paper studies orbital periodic solutions of a Lotka–Volterra difference system. Using a trial method, a condition is obtained for period-3 or period-4 orbital solutions of this system, and we show that the existence of a pair of initial functions of period-3 or period-4 orbital solution implies that they are 3-periodic or 4-periodic.

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Periodical:

Applied Mechanics and Materials (Volumes 303-306)

Pages:

2826-2830

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.303-306.2826

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Online since:

February 2013

Authors:

Xiao Ying Sun, J Fang Sun

Keywords:

Difference Type, Lotka–Volterra, Orbital Periodic Solution, Period-N Orbit

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