Computational bifurcation of periodic solutions in systems with symmetry

DOI10.1093/imanum/12.3.429zbMath0758.65057OpenAlexW2017343026MaRDI QIDQ4020194

Michael Dellnitz

Publication date: 16 January 1993

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/12.3.429

zbMATH Keywords

numerical exampleGalerkin methodperiodic solutionsfast Fourier transformsystems of autonomous ordinary differential equations4-cell-Brusselatorsymmetry breaking period doubling bifurcations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

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