×

zbMATH — the first resource for mathematics

Systèmes différentiels périodiques avec symétries: Stabilité et bifurcations. (Periodic differential systems with symmetries: Stability and bifurcations). (French) Zbl 0575.34033
The authors study relations between a periodic solution with symmetry of a nonlinear, periodic, two-dimensional differential system with symmetries and the symmetries of the associated variation equation. They also derive some consequences to stability of the periodic solution and bifurcations. As an example, this theory is applied to the Duffing equation without dissipation.
Reviewer: F.Neuman

MSC:
34C25 Periodic solutions to ordinary differential equations
34A30 Linear ordinary differential equations and systems, general
34A34 Nonlinear ordinary differential equations and systems, general theory
34D30 Structural stability and analogous concepts of solutions to ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
PDF BibTeX XML Cite
Full Text: DOI