Numerical Dynamics of Ordinary Differential Equations with Singularity

DOI10.2307/2159171zbMath0773.34037OpenAlexW4237663440MaRDI QIDQ4038371

Kevin G. Hockett

Publication date: 16 May 1993

Full work available at URL: https://doi.org/10.2307/2159171

zbMATH Keywords

subshiftssecond order Runge-Kutta methodglobal dynamics of Euler's methodsingle singular ODEspurious chaotic dynamics

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Iteration theory, iterative and composite equations (39B12)

Related Items (1)

Global dynamical properties of Euler and backward Euler

Cites Work

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• On the iteration of a rational function: Computer experiments with Newton's method
• Computational chaos - a prelude to computational instability
• Complex analytic dynamics on the Riemann sphere
• On the efficiency of algorithms of analysis
• The Legacy of Sonya Kovalevskaya
• Entropy and volume
• The Dynamics of Rayleigh Quotient Iteration
• Chaotic Numerics From an Integrable Hamiltonian System

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