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. 2016 Jun 10;11(6):e0157617. doi: 10.1371/journal.pone.0157617

Correction: Structural Perturbations to Population Skeletons: Transient Dynamics, Coexistence of Attractors and the Rarity of Chaos

Brajendra K Singh, Paul E Parham, Chin-Kun Hu
PMCID: PMC4902199  PMID: 27284925

The images for Figs 4 and 5 are incorrectly switched. The image that appears as Fig 4 should be Fig 5, and the image that appears as Fig 5 should be Fig 4. The figure captions appear in the correct order.

Fig 4. Changing patterns of long-term dynamics.

Fig 4

Here, the bifurcation plots are obtained by plotting the resident population densities from the last 200 generations after discarding transient dynamics. Both bifurcation parameters 3≤μ≤ 4 (left) and 0≤ε≤0.26 (right) are incremented with a stepsize of 0.001. The left-panel plots are for different values of the gain parameter ε = 0.005 (a1), 0.05 (a2), 0.1 (a3) and 0.2 (a4). The right-panel plots are for μ = 3.57 (b1), μ = 3.83 (b2), μ = 3.9 (b3) and μ = 4 (b4).

Fig 5. Illustration of Non-chaotic Aperiodic Oscillations (NAO).

Fig 5

Time series are for different combinations of the gain parameter ε and growth rate μ: (T1) ε = 0.005, μ = 3.8; (T2) ε = 0.005, μ = 3.9; (T3) ε = 0.05, μ = 3.9 and (T4) ε = 0.1, μ = 3.75. Only 500 generations are used in all four plots after discarding transients. Two horizontal lines are given by x¯up=1(1ε)(11μ(1ε)) and x¯low=1(1+ε)(11μ(1+ε)). The two values are derived from the analysis of the simplified version of (2) for n = 1 and n = 0, respectively. The time series T4 is plotted on a different y–scale to emphasize small fluctuations in the time series. The dashed-line represents the unstable fixed point of the map with ε = 0.

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