IIIE   20352
INSTITUTO DE INVESTIGACIONES EN INGENIERIA ELECTRICA "ALFREDO DESAGES"
Unidad Ejecutora - UE
artículos
Título:
Exact period-four solutions of a family of n-dimensional quadratic maps via harmonic balance and Gröbner bases
Autor/es:
MARÍA BELÉN D'AMICO; GUILLERMO CALANDRINI
Revista:
CHAOS AN INTERDISCIPLINARY JR OF NONLINEAR SCIENCE
Editorial:
AMER INST PHYSICS
Referencias:
Lugar: New York; Año: 2015 vol. 25 p. 1131131 - 11311312
ISSN:
1054-1500
Resumen:
Analytical solutions of the period-four orbits exhibited by a classical family of n-dimensionalquadratic 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.