Chaos induced by the generalized Euler method

DOI10.1080/00207728608926835zbMath0607.65050OpenAlexW2073663581MaRDI QIDQ3746816

Toshimitsu Ushio, Kazumasa Hirai

Publication date: 1986

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728608926835

zbMATH Keywords

chaosnumerical examplesEuler methoddifference equationperiod-doubling bifurcations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (2)

Bifurcation equations for periodic orbits of implicit discrete dynamical systems ⋮ Chaos and bifurcation in numerical computation by the Runge-Kutta method

Cites Work

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

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