Normal forms of Hopf-zero singularity
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Publication:5176120
DOI10.1088/0951-7715/28/2/311zbMath1315.34045arXiv1210.4467OpenAlexW2158977328MaRDI QIDQ5176120
Publication date: 2 March 2015
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.4467
normal formHopf-zero singularity\(sl_2\)-representationconservative and nonconservative decomposition
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14)
Related Items (12)
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 ⋮ Analytic partial-integrability of a symmetric Hopf-zero degeneracy ⋮ Unique Normal Form for a Class of Three-Dimensional Nilpotent Vector Fields ⋮ The infinite level normal forms for non-resonant double Hopf singularities ⋮ Normal Form Analysis of ℤ2-Equivariant Singularities ⋮ Parametric normal forms for Bogdanov-Takens singularity; the generalized saddle-node case ⋮ Vector potential normal form classification for completely integrable solenoidal nilpotent singularities ⋮ On the representations and \(\mathbb{Z}_2\)-equivariant normal form for solenoidal Hopf-zero singularities ⋮ Bifurcation Control and Universal Unfolding for Hopf-Zero Singularities with Leading Solenoidal Terms ⋮ High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities ⋮ Leaf-normal form classification for \(n\)-Tuple Hopf singularities
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