Chaos and bifurcation in numerical computation by the Runge-Kutta method

DOI10.1080/00207729408949307zbMath0818.34009OpenAlexW2070205469MaRDI QIDQ4697837

Tomohiko Adachi, Kazumasa Hirai

Publication date: 1 May 1995

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

Full work available at URL: https://doi.org/10.1080/00207729408949307

zbMATH Keywords

chaosbifurcationRunge-Kutta methodnumerical computationsecond- order nonlinear equation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Additive difference equations (39A10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical analysis in abstract spaces (65J99)

Related Items (2)

Bifurcation equations for periodic orbits of implicit discrete dynamical systems ⋮ Spectral element methods for nonlinear temporal dynamical systems

Cites Work

• Euler's finite difference scheme and chaos in \(R^ n\)
• Euler's finite difference scheme and chaos
• Chaos induced by the generalized Euler method

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