Constructing chaotic repellors

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. (C) 2020 Elsevier Ltd. All rights reserved.

Automated summary

The introduction of surfaces of equilibria in a dynamical system is a useful tool for constructing a chaotic repellor. There are infinitely many available functions for transforming an attractor to a repellor. Chaotic repellors can be constructed from various types of chaotic attractors, and offset boosting of a variable driven by embedded functions provides flexible control over system attractors and coexisting repellors.