Controlling chaos of the Ricker population model
AbstractFor certain parameters, a class of density dependent Leslie population
model has a chaotic attractor. The chaotic dynamics of the Ricker
mapping is studied. Control parameter is perturbed slightly depending
times by the improvement of OGY. By the pole placement technique of the
linear control theory, when the mapping point wanders to the
neighborhood of the periodic point, the control parameter is perturbed.
The chaotic motion are controlled on the stable periodic period-1 point
and period-2 orbits, and the influence of different control parameter
ranges on the control average time is analyzed. When the selected
regulator poles are different, the number of iterations used to control
chaotic motion on a stable periodic orbit is difference. Numerical
simulations are presented to illustrate our results with the theoretical
analysis and show the effect of the control method. The analysis and
results in this paper are interesting in mathematics and biology.