Abstract
This paper presents the use of time series in deterministic chaos theory. Recurrence plot (RP) is a two-dimensional representation method used to identify the behavior of complex systems. For example, it is proposed the use of the recurrence graph in identifying unstable periodic orbits (UPO) within a chaotic attractor. Thus, by applying nonlinear time series in the numerical data of chaotic systems, UPO specific to a certain type of behavior can be located. It also shows the efficiency of using RP in the control of chaotic dynamic systems. Next, the RP used in identifying UPO is applied to control techniques that consist of disrupting a system variable, one of the possible closed-loop approaches for stabilizing UPO. Another approach is to analyze the use of the RP method in stabilizing the Buck converter by a perturbed signal with phase difference.
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