Abstract
Abstract The introduction of surfaces of equilibria in a dynamical system is a useful tool for constructing a chaotic repellor. To transform an attractor to a repellor, there are infinitely many available functions for introducing a surface of equilibria. Chaotic repellors can be constructed thereafter from a single chaotic attractor, a symmetric pair of chaotic attractors or even from those systems with attractor doubling and self-reproducing. Offset boosting of a variable driven by an embedded function or extra supplementary functions shows a flexible control on system attractors along with those coexisting repellors, which also rescales the frequency of oscillation even without destroying the amplitude of them.
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