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.
- University of Texas at Austin United States
- The University of Texas System United States
- The University of Texas at Austin United States
Ergodic theorems, spectral theory, Markov operators, Chaotic Dynamics, varying height, Attractors and repellers of smooth dynamical systems and their topological structure, FOS: Physical sciences, polynomial eigenstates, tent map, 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, Chaotic Dynamics, varying height, Attractors and repellers of smooth dynamical systems and their topological structure, FOS: Physical sciences, polynomial eigenstates, tent map, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, Frobenius-Perron operator, attractor, band-splitting points, Chaotic Dynamics (nlin.CD), generalized spectral decomposition
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