Artículo

Exact period-four solutions of a family of n-dimensional quadratic maps via harmonic balance and Gröbner bases

D'amico, Edith Maria BelenIcon ; Calandrini, Guillermo
Fecha de publicación: 11/2015
Editorial: American Institute Of Physics
Revista: Chaos An Interdisciplinary Jr Of Nonlinear Science
ISSN: 1054-1500
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

Analytical solutions of the period-four orbits exhibited by a classical family of n-dimensional<br />quadratic maps are presented. Exact expressions are obtained by applying harmonic balance and Grobner bases to a single-input single-output representation of the system. A detailed study of a generalized scalar quadratic map and a well-known delayed logistic model is included for illustration. In the former example, conditions for the existence of bistability phenomenon are also introduced.
Palabras clave: Periodic Oscillations , Quadratic Maps , Analytical Solutions , Grobner Bases
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/11775
URL: http://aip.scitation.org/doi/full/10.1063/1.4935955
DOI: http://dx.doi.org/10.1063/1.4935955
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Articulos(IIIE)
Articulos de INST.DE INVEST.EN ING.ELECTRICA "A.DESAGES"
Citación
D'amico, Edith Maria Belen; Calandrini, Guillermo; Exact period-four solutions of a family of n-dimensional quadratic maps via harmonic balance and Gröbner bases; American Institute Of Physics; Chaos An Interdisciplinary Jr Of Nonlinear Science; 25; 11; 11-2015; 1-12; 113113
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