How to Bridge Attractors and Repellors

@article{Li2017HowTB,
  title={How to Bridge Attractors and Repellors},
  author={Chunbiao Li and Julien Clinton Sprott},
  journal={I. J. Bifurcation and Chaos},
  year={2017},
  volume={27},
  pages={1-11}
}
Strange attractors have been extensively studied, but the same is not true for strange repellors. Some time-reversible systems have repellors that mirror their corresponding attractors and that exchange roles when time is reversed. In this paper, a conversion operator is introduced by which an easy transformation can be constructed between such a time-reversible system with an attractor/repellor pair and an irreversible one with a pair of attractors, or vice versa, thus expanding the list of… CONTINUE READING

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