Spiral periodic structures in a parameter plane of an ecological model

Rodrigo A. da Silva and Paulo C. Rech

Applied Mathematics and Computation, 2015, vol. 254, issue C, 9-13

Abstract: We investigate a parameter plane of a set of three autonomous, ten-parameter, first-order nonlinear ordinary differential equations, which models a tri-trophic food web system. By using Lyapunov exponents, bifurcation diagrams, and trajectories in the phase-space, to numerically characterize the dynamics of the model in a parameter plane, we show that it presents typical periodic structures embedded in a chaotic region, forming a spiral structure that coils up around a focal point while period-adding bifurcations take place.

Keywords: Period-adding bifurcation; Spiral periodic structure; Parameter plane; Lyapunov exponents (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:254:y:2015:i:c:p:9-13

DOI: 10.1016/j.amc.2014.12.115

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