Two-sided approximation to periodic solutions of ordinary differential equations

DOI10.1007/BF01385704zbMath0799.65077OpenAlexW2050863884MaRDI QIDQ1326499

Li-Qing Zhang

Publication date: 17 November 1994

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133769

zbMATH Keywords

numerical exampleperiodic solutionperiodic orbitautonomous systemtwo-sided approximationEuler difference methods

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items

Approximation of periodic solutions of a system of periodic linear nonhomogeneous differential equations. ⋮ POMULT: A program for computing periodic orbits in Hamiltonian systems based on multiple shooting algorithms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic expansion and geometric properties of the spline collocation periodic solution of an ODE system
• Computation of periodic solutions of nonlinear ODEs
• Numerical computation of periodic orbits that bifurcate from stationary solutions of ordinary differential equations
• Numerical solution of bifurcation problems for ordinary differential equations
• Invariant curves for numerical methods