Spectral decomposition of the tent map with varying height

Suresh Subbiah; Dean J. Driebe

doi:10.1063/1.166360

Spectral decomposition of the tent map with varying height

Chaos. 1998 Dec;8(4):741-756. doi: 10.1063/1.166360.

Authors

Suresh Subbiah¹, Dean J. Driebe

Affiliation

¹ Center for Studies in Statistical Mechanics and Complex Systems, The University of Texas at Austin, Austin, Texas 78712.

PMID: 12779780
DOI: 10.1063/1.166360

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. (c) 1998 American Institute of Physics.