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

DOI10.1016/0885-064X(92)90004-UzbMath0769.58040MaRDI QIDQ1203642

Shui-Nee Chow, Kenneth James Palmer

Publication date: 22 February 1993

Published in: Journal of Complexity (Search for Journal in Brave)

zbMATH Keywords

hyperbolicitychaotic dynamical systemshadowing errortime shadowing

Mathematics Subject Classification ID

Topological dynamics (37B99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems with hyperbolic behavior (37D99)

Related Items

Global error analysis and inertial manifold reduction, Shadowing orbits of ordinary differential equations, Projected Shadowing-Based Data Assimilation, On the error in approximating stability spectra for discrete dynamical systems, RIGOROUS VERIFICATION OF THE EXISTENCE OF TRANSVERSAL HOMOCLINIC ORBITS, Shadowing orbits of ordinary differential equations on invariant submanifolds, ANALYSIS OF ROUND OFF ERRORS WITH REVERSIBILITY TEST AS A DYNAMICAL INDICATOR, Shadowing pseudo-orbits and gradient descent noise reduction, A survey of shadowing methods for numerical solutions of ordinary differential equations, Shadowing and prediction of dynamical systems

Cites Work

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• On the numerical computation of orbits of dynamical systems: The one- dimensional case
• Do numerical orbits of chaotic dynamical processes represent true orbits?
• Numerical orbits of chaotic processes represent true orbits
• Rigorous verification of trajectories for the computer simulation of dynamical systems