Spectral Decomposition of the Tent Map with Varying Height
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
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.
Keywords
Cite
@article{arxiv.chao-dyn/9804022,
title = {Spectral Decomposition of the Tent Map with Varying Height},
author = {S. Subbiah and D. J. Driebe},
journal= {arXiv preprint arXiv:chao-dyn/9804022},
year = {2009}
}
Comments
39 pages, 7 figures, in LATeX with embedded PS figures