Spectral Decomposition of the Tent Map with Varying Height

Details Spectral Decomposition of the Tent Map with Varying Height Spectral Decomposition of the Tent Map with Varying Height

1998-04-10

arxiv.org/abs/chao-dyn/9804022v1

Nonlinear Sciences

Chaotic Dynamics

39 pages, 7 figures, in LATeX with embedded PS figures

Scientific paper

10.1063/1.166360

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.

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