INFINITE ORDER PARAMETRIC NORMAL FORM OF HOPF SINGULARITY

DOI10.1142/S0218127408022445zbMath1165.37326MaRDI QIDQ5322582

Majid Gazor, Pei Yu

Publication date: 21 July 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

graded Lie algebrabifurcation parametergraded moduleunique normal formformal basis

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Lie algebras of vector fields and related (super) algebras (17B66) Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05) Graded Lie (super)algebras (17B70)

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Normal form of Bogdanov-Takens: styles and a hypernormalization method ⋮ Computation of the normal form as well as the unfolding of the vector field with zero-zero-Hopf bifurcation at the origin ⋮ Spectral sequences and parametric normal forms ⋮ Normal form for high-dimensional nonlinear system and its application to a viscoelastic moving belt ⋮ Normal Form Analysis of ℤ2-Equivariant Singularities ⋮ Parametric normal forms for Bogdanov-Takens singularity; the generalized saddle-node case ⋮ FORMAL DECOMPOSITION METHOD AND PARAMETRIC NORMAL FORMS

Uses Software

• Maple

Cites Work

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