A Newton scheme for convervatively singular systems

DOI10.1016/0022-247X(86)90050-8zbMath0605.65047OpenAlexW2094417400MaRDI QIDQ1083835

Daniel Sweet

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(86)90050-8

zbMATH Keywords

periodic solutionsHamiltonian systemsNewton iteration schemeweakly nonlinear periodic differential equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Hamilton's equations (70H05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamical systems and ergodic theory (37-XX)

Related Items (1)

Periodic families of solutions for difference equations with a first integral

Cites Work

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• An iteration scheme for periodic dynamical systems possessing a first integral
• The implicit function theorem in functional analysis
• Alternative problems for nonlinear functional equations
• Periodic solutions for dynamical systems possessing a first integral in the resonance case
• A quadratic convergence scheme for determining families of periodic solutions
• An iteration scheme for determining equations of dynamical systems

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