A geometric method for the numerical solution of nonlinear equations and its application to nonlinear oscillations

DOI10.2977/PRIMS/1195193225zbMath0277.65029OpenAlexW1975849554MaRDI QIDQ1393927

Yoshitane Shinohara

Publication date: 1972

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195193225

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (7)

Numerical analysis of the quasiperiodic solutions to Duffing type equations ⋮ Numerical verification of existence and inclusion of solutions for nonlinear operator equations ⋮ Real bifurcations of two-unit systems with rolling ⋮ On divergent bifurcations in dynamic systems with rolling ⋮ Existence and uniqueness of quasiperiodic solutions to perturbed nonlinear oscillators ⋮ Numerical analysis of quasiperiodic solutions to nonlinear differential equations ⋮ Bifurcation of rotary motion in singly-linked systems with rocking

Cites Work

• Galerkin's procedure for nonlinear periodic systems
• Numerical computation of nonlinear forced oscillations by Galerkin's procedure
• A geometric method of numerical solution of nonlinear equations and error estimation by Urabe's proposition
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