Detecting exponential dichotomy on the real line: SVD and QR algorithms
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Publication:639955
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
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
Cites Work
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- Perturbation theory for approximation of Lyapunov exponents by QR methods
- The singular value decomposition to approximate spectra of dynamical systems. Theoretical aspects
- SVD algorithms to approximate spectra of dynamical systems
- Exponential dichotomy on the real line: SVD and QR methods
- Geometric singular perturbation theory for ordinary differential equations
- Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
- A spectral theory for linear differential systems
- Dichotomies in stability theory
- Estimates on the strength of exponential dichotomies and application to integral manifolds
- Algorithms for computing normally hyperbolic invariant manifolds
- Shadowing in dynamical systems
- Efficient computation of analytic bases in Evans function analysis of large systems
- An efficient shooting algorithm for Evans function calculations in large systems
- On the error in computing Lyapunov exponents by QR methods
- Lyapunov and Sacker-Sell spectral intervals
- On the Error in the Product QR Decomposition
- The Numerical Computation of Connecting Orbits in Dynamical Systems
- On the Error in QR Integration
- Exponential Dichotomies and Fredholm Operators
- Stability of traveling waves: dichotomies and eigenvalue conditions on finite intervals
- Lyapunov Spectral Intervals: Theory and Computation
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