Spectral decomposition of the tent map with varying height

DOI10.1063/1.166360zbMath0987.37024arXivchao-dyn/9804022OpenAlexW2092998579WikidataQ73463801 ScholiaQ73463801MaRDI QIDQ4515087

Suresh Subbiah, Dean J. Driebe

Publication date: 12 November 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9804022

zbMATH Keywords

attractorFrobenius-Perron operatortent mapgeneralized spectral decompositionvarying heightband-splitting pointspolynomial eigenstates

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Ergodic theorems, spectral theory, Markov operators (37A30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (1)

Phase ordering at crises

Cites Work

• Spectrum and eigenfunctions of the Frobenius-Perron operator of the tent map
• Asymptotic periodicity and banded chaos
• Spectral decomposition of tent maps using symmetry considerations.
• r-adic one-dimensional maps and the Euler summation formula
• Significance of the Tent Map Bifurcations in Continuous Media
• Unstable evolution of pointwise trajectory solutions to chaotic maps

This page was built for publication: Spectral decomposition of the tent map with varying height