Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Lyapunov Spectral Intervals: Theory and Computation - MaRDI portal

Lyapunov Spectral Intervals: Theory and Computation

From MaRDI portal
Publication:4787277

DOI10.1137/S0036142901392304zbMath1021.65067OpenAlexW2123571060MaRDI QIDQ4787277

Luca Dieci, Erik S. Van Vleck

Publication date: 5 January 2003

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

Full work available at URL: https://doi.org/10.1137/s0036142901392304




Related Items (38)

Global error analysis and inertial manifold reductionFlow Structure Identification for Nonlinear Dynamical Systems via Finite-Time Lyapunov AnalysisA hybrid method for computing Lyapunov exponentsManifold-following approximate solution of completely hypersensitive optimal control problemsLagrangian descriptors: a method for revealing phase space structures of general time dependent dynamical systemsShortest positive products of nonnegative matricesPerturbation theory for approximation of Lyapunov exponents by QR methodsLyapunov and Sacker-Sell spectral intervalsThe singular value decomposition to approximate spectra of dynamical systems. Theoretical aspectsGeneralized Attractor-Repeller Pairs, Diagonalizability and Integral SeparationProportional Local Assignability of the Dichotomy Spectrum of One-Sided Discrete Time-Varying Linear SystemsUnderlying one-step methods and nonautonomous stability of general linear methodsPseudospectral reduction to compute Lyapunov exponents of delay differential equationsLower and upper bounds for the largest Lyapunov exponent of matricesDetectability Conditions and State Estimation for Linear Time-Varying and Nonlinear SystemsExponential dichotomy for asymptotically hyperbolic two-dimensional linear systemsPerturbation theory for the approximation of stability spectra by QR methods for sequences of linear operators on a Hilbert spaceCharacterizing two-timescale nonlinear dynamics using finite-time Lyapunov exponents and subspacesOn the error in approximating stability spectra for discrete dynamical systemsComputing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical studyRotation number and exponential dichotomy for linear Hamiltonian systems: from theoretical to numerical resultsApproximating Lyapunov exponents and Sacker-Sell spectrum for retarded functional differential equationsDetecting exponential dichotomy on the real line: SVD and QR algorithmsAsymptotic Forecast Uncertainty and the Unstable Subspace in the Presence of Additive Model Error\(QR\) methods and error analysis for computing Lyapunov and Sacker--Sell spectral intervals for linear differential-algebraic equationsA step-size selection strategy for explicit Runge-Kutta methods based on Lyapunov exponent theoryComputation of the Lyapunov exponents in the compass-gait model under OGY control via a hybrid Poincaré mapOn the behavior of the Lorenz equation backward in timeRobust Stability of Differential-Algebraic EquationsA Lyapunov and Sacker-Sell spectral stability theory for one-step methodsSVD algorithms to approximate spectra of dynamical systemsLyapunov Exponent of Rank-One Matrices: Ergodic Formula and Inapproximability of the Optimal DistributionLyapunov, Bohl and Sacker-Sell spectral intervals for differential-algebraic equationsON THE CALCULATION OF LYAPUNOV CHARACTERISTIC EXPONENTS FOR CONTINUOUS-TIME LTV DYNAMICAL SYSTEMS USING DYNAMIC EIGENVALUESExponential dichotomy on the real line: SVD and QR methodsOn the error in computing Lyapunov exponents by QR methodsNONUNIFORM DICHOTOMY SPECTRUM INTERVALS: THEOREM AND COMPUTATIONPseudospectral methods for the stability analysis of delay equations. II: The solution operator approach




This page was built for publication: Lyapunov Spectral Intervals: Theory and Computation