Numerical analysis of quasiperiodic solutions to nonlinear differential equations

DOI10.1007/BF03167105zbMath0621.65076MaRDI QIDQ3757296

Yoshitane Shinohara, Atsuhito Kohda, Mitsunobu Kurihara

Publication date: 1986

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Galerkin methodexponential dichotomyquasiperiodic solutionsVan der Pol equationnonlinear quasiperiodic differential equations

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 element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (3)

Numerical analysis of the quasiperiodic solutions to Duffing type equations ⋮ Existence and uniqueness of quasiperiodic solutions to perturbed nonlinear oscillators ⋮ A class of ergodic solutions of nonlinear differential equations and numerical treatment

Cites Work

• Almost periodic differential equations
• Investigation of numerical solutions of some nonlinear quasiperiodic differential equations
• A geometric method for the numerical solution of nonlinear equations and its application to nonlinear oscillations
• Galerkin's procedure for nonlinear periodic systems
• Numerical computation of nonlinear forced oscillations by Galerkin's procedure
• Sur la méthode de Galerkin-Urabe pour les systèmes différentiels périodiques
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Numerical analysis of quasiperiodic solutions to nonlinear differential equations