What good are numerical simulations of chaotic dynamical systems?

DOI10.1016/0898-1221(94)00188-XzbMath0813.65101MaRDI QIDQ1339312

Robert M. Corless

Publication date: 28 May 1995

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

stabilitychaosGauss mapill-conditioningchaotic dynamical systemsEuler's methodLorentz equationsbackward error control

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Uses Software

• Maple
• Matlab

Cites Work

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• Why computers like Lebesgue measure
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• Shadowing and iterative interpolation for Čebyšev mixing transformations
• Effects of phase space discretization on the long-time behavior of dynamical systems
• Evaluation of upper Lyapunov exponents on hyperbolic sets
• Iterated maps on discretized meshes of the unit interval
• Spatial discretization of mappings
• Defect Estimation in Adams PECE Codes
• Chaotic Numerics From an Integrable Hamiltonian System
• Continued Fractions and Chaos
• A Shadowing Lemma Approach to Global Error Analysis for Initial Value ODEs
• Deterministic Nonperiodic Flow

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