Topologically inequivalent embeddings

A chaotic three-dimensional flow can be described through the topological organization of the periodic orbits shadowed by an attractor. If only a scalar variable is available, this description requires the embedding of the data. In this work we report an example in which the reconstructed topology o...

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Autores principales: Mindlin, G.B., Solari, H.G.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1063651X_v52_n2_p1497_Mindlin
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Sumario:A chaotic three-dimensional flow can be described through the topological organization of the periodic orbits shadowed by an attractor. If only a scalar variable is available, this description requires the embedding of the data. In this work we report an example in which the reconstructed topology of the flow depends on the chosen embedding. © 1995 The American Physical Society.