An algebraic procedure for the determination of periodic bifurcating solutions of quadratic ordinary differential equations

DOI10.1080/00207169708804611zbMath0890.65085OpenAlexW2097178150MaRDI QIDQ4375399

Leon R. Sinay

Publication date: 6 July 1998

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169708804611

zbMATH Keywords

algorithmnumerical examplespower seriesFourier seriesperturbation methodsperiodic bifurcation solutionsquadratic ordinary differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Cites Work

• Perturbation Analysis of the Limit Cycle of the Free van der Pol Equation
• Power Series Solution to a Simple Pendulum with Oscillating Support
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments
• An Analytical Approach to the Description of Nonadiabatic Cellular Flames Near Extinction
• Deterministic Nonperiodic Flow
• Instability intervals of Hill's equation

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