Horseshoe implications

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) s...

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Detalles Bibliográficos
Autores principales: Mindlin, G.B., López-Ruiz, R., Solari, H.G., Gilmore, R.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1063651X_v48_n6_p4297_Mindlin
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Descripción
Sumario: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.