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On an Embedding Theorem
Authors:Victoria Caballero
Institution:(1) Departamento de Métodos Cuantitativos Para La Economía Facultad de Economía y Empressa Campus de Espinardo, Universidad de Murcia, Murcia, Spain E-mail
Abstract:We prove a theorem giving conditions under which a discrete-time dynamical system as (x t ,y t ) = (f;(x t – 1, y t – 1), g(x t – 1, y t – 1)) can be reconstructed from a scalar valued time series (agr t ) t , which depends only on x t where agr t = agr(x t ). This theorem allows us to use the delay-coordinate method in this setting.
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