Unique normal forms for the Takens–Bogdanov singularity in a special case

DOI10.1016/S0764-4442(01)01869-9zbMath0996.37064OpenAlexW2088205385WikidataQ127550592 ScholiaQ127550592MaRDI QIDQ2721628

Duo Wang, Guoting Chen, Xiao-Feng Wang

Publication date: 26 February 2002

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(01)01869-9

zbMATH Keywords

planar vector fieldequilibriumnormal formTakens-Bogdanov singularity

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Singularities of vector fields, topological aspects (58K45) Normal forms on manifolds (58K50)

Related Items (4)

A matching pursuit technique for computing the simplest normal forms of vector fields ⋮ Normal form theory and spectral sequences. ⋮ Orbital formal normal forms for general Bogdanov-Takens singularity. ⋮ UNIQUE NORMAL FORMS FOR NILPOTENT PLANAR VECTOR FIELDS

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