| Abstract: |
| The dynamics of semelparous populations is commonly described by difference equations.
With life cycle stages separated, we get a system of difference equations which can be unstable or chaotic. The types of control are less sophisticated than the system, choosing the weighted average between the system state and either the system variable (Prediction-Based Control) or a prescribed point, for example, the equilibrium to be stabilized (Target-Oriented Control). We explore stabilization for nonlinear systems of difference equations both in deterministic and stochastic settings. The influence of stochastic components in the control parameters is explored.
The results are tested, for example, on the H\`{e}non and the Lozi maps. |
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