Existence and uniqueness of quasiperiodic solutions to perturbed nonlinear oscillators

DOI10.1007/BF03167405zbMath0918.34046MaRDI QIDQ1128291

Hitoshi Imai, Yoshitane Shinohara, Zulfikar Ali, Kuniya Okamoto, Hideo Sakaguchi

Publication date: 25 August 1999

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

zbMATH Keywords

existenceuniquenessquasiperiodic solutionsperturbed nonlinear oscillators

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (1)

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
• Numerical analysis of the quasiperiodic solutions to Duffing type equations
• A geometric method for the numerical solution of nonlinear equations and its application to nonlinear oscillations
• Galerkin's procedure for nonlinear periodic systems
• A perturbation-incremental method for strongly nonlinear oscillators
• Numerical analysis of quasiperiodic solutions to nonlinear differential equations
• Numerical Analysis of Ordinary Differential Equations and Its Applications
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