Unique normal forms for Hopf-zero vector fields.

DOI10.1016/S1631-073X(03)00043-8zbMath1054.34067OpenAlexW1982912308MaRDI QIDQ1408082

Duo Wang, Jiazhong Yang, Guoting Chen

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00043-8

zbMATH Keywords

normal formsHopf-zero vector fields

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (6)

Analytic partial-integrability of a symmetric Hopf-zero degeneracy ⋮ Unique Normal Form for a Class of Three-Dimensional Nilpotent Vector Fields ⋮ On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier ⋮ A SUFFICIENT CONDITION FOR THE UNIQUENESS OF NORMAL FORMS AND UNIQUE NORMAL FORMS OF GENERALIZED HOPF SINGULARITIES ⋮ Orbital normal forms for a class of three-dimensional systems with an application to Hopf-zero bifurcation analysis of Fitzhugh-Nagumo system ⋮ High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities

Cites Work

• Unique normal forms for vector fields and Hamiltonians
• Linear grading function and further reduction of normal forms
• On finite determinacy of formal vector fields
• Unnamed Item

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