Detecting exponential dichotomy on the real line: SVD and QR algorithms

DOI10.1007/s10543-010-0306-0zbMath1228.65123OpenAlexW2073865849MaRDI QIDQ639955

Erik S. Van Vleck, Cinzia Elia, Luca Dieci

Publication date: 11 October 2011

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-010-0306-0

zbMATH Keywords

Lyapunov exponentsexponential dichotomySacker-Sell spectrum

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20)

Related Items (8)

Evans function computation for the stability of travelling waves ⋮ Root Following in Evans Function Computation ⋮ Projected Shadowing-Based Data Assimilation ⋮ Perturbation theory for the approximation of stability spectra by QR methods for sequences of linear operators on a Hilbert space ⋮ Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study ⋮ Rotation number and exponential dichotomy for linear Hamiltonian systems: from theoretical to numerical results ⋮ A Lyapunov and Sacker-Sell spectral stability theory for one-step methods ⋮ NONUNIFORM DICHOTOMY SPECTRUM INTERVALS: THEOREM AND COMPUTATION

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