Computing Sacker–Sell spectra in Discrete Time Dynamical Systems

DOI10.1137/090754509zbMath1227.65129OpenAlexW2143677831MaRDI QIDQ3021280

Thorsten Hüls

Publication date: 22 July 2011

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090754509

zbMATH Keywords

algorithmserror estimatesexponential dichotomydifference equationSacker-Sell spectrumboundary value methodsdiscrete time dynamical systemsdichotomy projectorsorbits of the Hénon's map

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Stability theory for smooth dynamical systems (37C75) Topological dynamics of nonautonomous systems (37B55) Numerical methods for difference equations (65Q10)

Related Items (14)

Angular Values of Nonautonomous Linear Dynamical Systems: Part II – Reduction Theory and Algorithm ⋮ Computing stable hierarchies of fiber bundles ⋮ Nonautonomous systems with transversal homoclinic structures under discretization ⋮ Continuity and invariance of the Sacker-Sell spectrum ⋮ On the Approximation of Stable and Unstable Fiber Bundles of (Non)Autonomous ODEs — A Contour Algorithm ⋮ Uniform convergence of Nyström discretization on Hölder spaces ⋮ Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study ⋮ Continuity of the Sacker–Sell spectrum on the half line ⋮ Fine structure of the dichotomy spectrum ⋮ On areas of attraction and repulsion in finite time dynamical systems and their numerical approximation ⋮ Dichotomy spectra of triangular equations ⋮ Reduction principle at work ⋮ A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps ⋮ NONUNIFORM DICHOTOMY SPECTRUM INTERVALS: THEOREM AND COMPUTATION

This page was built for publication: Computing Sacker–Sell spectra in Discrete Time Dynamical Systems