Spectral decomposition of the tent map with varying height

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Spectral decomposition of the tent map with varying height.

The generalized spectral decomposition of the Frobenius-Perron operator of the tent map with varying height is determined at the band-splitting points. The decomposition includes both decay onto the attracting set and the approach to the asymptotically periodic state on the attractor. Explicit compact expressions for the polynomial eigenstates are obtained using algebraic techniques. (c) 1998 A...

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It is well known that the average position or barycenter of generic orbits for the standard tent map is 0.5. Periodic orbits are exceptional orbits in the sense that most of them have barycenters different from 0.5. In this paper we prove that for any positive integer n, there exist n distinct periodic orbits for the standard tent map with the same barycenter. We also provide some patterns of p...

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ژورنال

عنوان ژورنال: Chaos: An Interdisciplinary Journal of Nonlinear Science

سال: 1998

ISSN: 1054-1500,1089-7682

DOI: 10.1063/1.166360