Numerical Periodic Normalization for Codim 2 Bifurcations of Limit Cycles: Computational Formulas, Numerical Implementation, and Examples

DOI10.1137/120874904zbMath1284.34049OpenAlexW2081570347MaRDI QIDQ2871347

Yuri A. Kuznetsov, Fabio Della Rossa, V. De Witte, Willy Govaerts

Publication date: 22 January 2014

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1854/LU-4106124

zbMATH Keywords

limit cyclesnormal formsbifurcationscodimension 2

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20)

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