Phys. Rev. E 48, 4297–4304 (1993)Horseshoe implicationsReceived 16 June 1993; published in the issue dated December 1993 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. © 1993 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.48.4297
DOI:
10.1103/PhysRevE.48.4297
PACS:
05.45.+b
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