Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627082 | Applied Mathematics and Computation | 2015 | 5 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Rodrigo A. da Silva, Paulo C. Rech,