Spectral decomposition of the tent map with varying height
Copyright policy )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.
- The University of Texas at Austin United States
Ergodic theorems, spectral theory, Markov operators, varying height, Attractors and repellers of smooth dynamical systems and their topological structure, FOS: Physical sciences, polynomial eigenstates, tent map, Nonlinear Sciences - Chaotic Dynamics, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, Frobenius-Perron operator, attractor, band-splitting points, Chaotic Dynamics (nlin.CD), generalized spectral decomposition
Ergodic theorems, spectral theory, Markov operators, varying height, Attractors and repellers of smooth dynamical systems and their topological structure, FOS: Physical sciences, polynomial eigenstates, tent map, Nonlinear Sciences - Chaotic Dynamics, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, Frobenius-Perron operator, attractor, band-splitting points, Chaotic Dynamics (nlin.CD), generalized spectral decomposition
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!