Volume-preserving normal forms of Hopf-zero singularity
From MaRDI portal
Publication:2857757
DOI10.1088/0951-7715/26/10/2809zbMath1283.34038arXiv1203.1807OpenAlexW3106197662MaRDI QIDQ2857757
Publication date: 5 November 2013
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.1807
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Singularities of vector fields, topological aspects (58K45) Normal forms on manifolds (58K50) Graded rings and modules (associative rings and algebras) (16W50)
Related Items (10)
Normal form of Bogdanov-Takens: styles and a hypernormalization method ⋮ Normal forms of double Hopf oscillators with radial nonlinearities ⋮ The infinite level normal forms for non-resonant double Hopf 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 integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier ⋮ On the representations and \(\mathbb{Z}_2\)-equivariant normal form for solenoidal Hopf-zero singularities ⋮ Orbital normal forms for a class of three-dimensional systems with an application to Hopf-zero bifurcation analysis of Fitzhugh-Nagumo system ⋮ 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
Uses Software
This page was built for publication: Volume-preserving normal forms of Hopf-zero singularity