| Chaotic systems exhibit extreme sensitivity to initial conditions, where even slight differences on the initial conditions can cause trajectories to diverge over time. Since the 1990s, researchers have demonstrated that chaotic behavior can be controlled -- a phenomenon known as control of chaos. In this context, this work addresses the problem of stabilizing chaotic dynamics in one-dimensional maps by guiding them to a periodic orbit of a specified period. Our approach builds on a previous method that applies pulses of intensity \lambda to the system variables every \Delta n iterations, where \lambda and \Delta n are method parameters. This problem is formulated as a challenging multimodal, multivariate, continuous nonlinear optimization problem, which is addressed using a powerful bio-inspired metaheuristic technique called artificial immune systems. Some computational experiments are conducted to analyze the performance of our approach through several illustrative examples of the cubic map under various parameter settings. The results show that the method performs well in both chaotic and periodic regimes, suggesting its potential for fully automated control of chaos in one-dimensional chaotic maps. |
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