Two concepts for numerical periodic solutions of ODE's

DOI10.1016/0096-3003(89)90113-6zbMath0675.65071OpenAlexW4248060047MaRDI QIDQ1122329

Timo Eirola

Publication date: 1989

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(89)90113-6

zbMATH Keywords

invariant setperiodic pointsone-step methodhyperbolic periodic orbit

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)

Related Items (11)

On the discretization of a partial differential equation in the neighborhood of a periodic orbit ⋮ Invariant curves of one-step methods ⋮ On spurious fixed points of Runge-Kutta methods ⋮ Various closeness concepts in numerical ODE's ⋮ What do multistep methods approximate? ⋮ On C^j-closeness between the solution flow and its numerical approximation ⋮ Aspects of backward error analysis of numerical ODEs ⋮ Various closeness results in discretized bifurcations ⋮ Discretizing dynamical systems with generalized Hopf bifurcations ⋮ Estimates in discretizing normally hyperbolic compact invariant manifolds of ordinary differential equations ⋮ On invariant closed curves for one-step methods

Cites Work

• Unnamed Item
• Discretization methods for stable initial value problems
• Computation of periodic solutions of nonlinear ODEs
• Invariant curves of one-step methods
• On invariant closed curves for one-step methods
• Invariant curves for numerical methods
• Periodic solutions of finite difference equations

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