On the error in approximating stability spectra for discrete dynamical systems
DOI10.1016/J.MATCOM.2010.10.006zbMath1210.65200OpenAlexW2057364434MaRDI QIDQ631230
Erik S. Van Vleck, Melissa C. Menning
Publication date: 22 March 2011
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2010.10.006
numerical experimentsLyapunov exponentsHénon mapdiscrete dynamical systemsplanar mapsSacker-Sell spectrumintegral separation\(QR\) methodsstability spectra
Stability of topological dynamical systems (37B25) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Numerical nonlinear stabilities in dynamical systems (65P40)
Cites Work
- Exponential dichotomy for asymptotically hyperbolic two-dimensional linear systems
- Perturbation theory for approximation of Lyapunov exponents by QR methods
- Do numerical orbits of chaotic dynamical processes represent true orbits?
- Exponential dichotomy, integral separation and diagonalizability of linear systems of ordinary differential equations
- Geometric theory of semilinear parabolic equations
- On the numerical computation of orbits of dynamical systems: The higher dimensional case
- On the error in computing Lyapunov exponents by QR methods
- Lyapunov and Sacker-Sell spectral intervals
- The dichotomy spectrum for noninvertible systems of linear difference equations
- Numerical orbits of chaotic processes represent true orbits
- On the Error in the Product QR Decomposition
- Criteria for an exponential dichotomy of difference equations
- On the Error in QR Integration
- Shadowing of physical trajectories in chaotic dynamics: Containment and refinement
- Lyapunov Spectral Intervals: Theory and Computation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the error in approximating stability spectra for discrete dynamical systems
