Smooth normalization of a vector field near a semistable limit cycle

DOI10.5802/AIF.1360zbMath0783.58071OpenAlexW2059357669MaRDI QIDQ1313328

Sergey Yu. Yakovenko

Publication date: 20 March 1994

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_3_893_0

zbMATH Keywords

limit cyclehomotopy methodsmooth normal formshomological equation

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

Analytic normalization of analytically integrable differential systems near a periodic orbit ⋮ Generalized Hopf bifurcation for planar vector fields via the inverse integrating factor

Cites Work

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• Stability of \(C^ \infty\) mappings. III: Finitely determined map germs
• Normal forms for certain singularities of vectorfields
• Finitely-smooth normal forms of local families of diffeomorphisms and vector fields
• EQUIVALENCE AND NORMAL FORMS OF GERMS OF SMOOTH MAPPINGS

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