On the numerical computation of orbits of dynamical systems: The one- dimensional case

DOI10.1007/BF01049737zbMath0729.34010MaRDI QIDQ805837

Shui-Nee Chow, Kenneth James Palmer

Publication date: 1991

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

roundoff errordiscrete dynamical systemshadowingpseudo-orbitsnumerically computed orbits of dynamical systems

Mathematics Subject Classification ID

Roundoff error (65G50) Numerical methods for initial value problems involving ordinary differential equations (65L05) Discrete version of topics in analysis (39A12) Iteration of real functions in one variable (26A18) Dynamical systems and ergodic theory (37-XX) Numerical analysis in abstract spaces (65J99)

Related Items

Shadowing orbits of ordinary differential equations ⋮ Shadowing orbits of ordinary differential equations on invariant submanifolds ⋮ ANALYSIS OF ROUND OFF ERRORS WITH REVERSIBILITY TEST AS A DYNAMICAL INDICATOR ⋮ On the numerical computation of orbits of dynamical systems: The higher dimensional case ⋮ A survey of shadowing methods for numerical solutions of ordinary differential equations ⋮ Error distribution in randomly perturbed orbits ⋮ Shadowing and prediction of dynamical systems

Cites Work

• Do numerical orbits of chaotic dynamical processes represent true orbits?
• Numerical orbits of chaotic processes represent true orbits
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