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Offset boosting is an important issue for chaos control due to its broadband property and polarity control. There are two main approaches to realize offset boosting. One is resort to parameter introducing where an offset booster realizes attractor boosting. The other one is by the means of periodic function or absolute value function where a specific initial condition can extract out any self-reproduced or doubled attractor with different offset. The former also provides a unique window for observing multistability and the latter gives the direction for constructing desired multistability.
Li et al. (Mon,) studied this question.