Abstract
Chaotic dynamics is one of the most general ways of non-linear systems evolution. Chaotic regimes are abundantly present in nature as well as in devices created by human hands. However, it is difficult to unambiguously answer whether chaos is useful or harmful. Chaos is beneficial when it increases the chemical reaction rate by intensifying mixing, providing a powerful mechanism for heat and mass transfer. However, in many situations chaos is an undesirable phenomenon which can, for example, lead to additional mechanical fatigue of the elements of construction due to their irregular vibrations. The possibility of non-resonant energy absorption in a chaotic regime can lead the system parameters beyond safe levels. Therefore, it is clear that the ability to control chaos, i.e., to enforce or suppress it, has great practical importance. Earlier, when chaos was still unusual, the problem of its amplification was at the center of attention. However, at the beginning of the 1990s, the pendulum swung in the other direction. Considerable theoretical and experimental efforts were made to convert chaos into periodic motion. A new and intensely developing domain of non-linear dynamics—controlled chaos —originated from the pioneering work [1] of the same name. From this point on the term “controlled chaos” entered into the vocabulary of physicists which deal with non-linear dynamical systems.
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Bolotin, Y., Tur, A., Yanovsky, V. (2017). Controlling Chaos. In: Chaos: Concepts, Control and Constructive Use. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-42496-5_5
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