We have computed all the orbit-forcing implications, up to period 8, in horseshoe-type flows or maps that generate strange attractors. The results are presented in a horseshoe implication diagram. We describe how this diagram was computed, and show how it can be used to construct a minimal (basis) set of periodic orbits which force the existence of all the periodic orbits associated with a strange attractor, up to any given period.
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Mindlin et al. (1993) studied this question.
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