Phys. Rev. E 56, 1476 - 1483 (1997)Harmonic structure of one-dimensional quadratic maps |
G. Pastor, M. Romera, and F. Montoya
Instituto de Física Aplicada, Consejo Superior de Investigaciones Científicas, Serrano 144, 28006 Madrid, Spain
Received 14 November 1996
We study here the “harmonic structure” of one-dimensional quadratic maps. The patterns of the structure can be generated with only one initial datum: the symbolic sequence C of the period-1 superstable orbit. All the patterns of the structure are F harmonics (Fourier harmonics). Rules to compose two patterns and rules to calculate F-harmonics are given. The harmonic-structure matrix which contains all the F harmonics in a very compact way by means of the harmonic notation is introduced.
©1997 The American Physical Society
URL: http://link.aps.org/abstract/PRE/v56/p1476
DOI: 10.1103/PhysRevE.56.1476
PACS: 05.45.+b, 47.20.Ky, 47.52.+j
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