Euler's discretization revisited

DOI10.3792/PJAA.71.58zbMath0837.65086OpenAlexW2038252655MaRDI QIDQ1898261

Yoichi Maeda

Publication date: 24 September 1995

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.71.58

zbMATH Keywords

chaosEuler's methodinstability of numerical solution

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (3)

Discretization of non-Lipschitz continuous O.D.E. and chaos ⋮ Robust inverse optimal control for discrete-time nonlinear system stabilization ⋮ Euler's discretization of ordinary differential equation with symmetric nonlinearity

Cites Work

• Euler's finite difference scheme and chaos in \(R^ n\)
• Euler's finite difference scheme and chaos
• Period Three Implies Chaos

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