Versal unfolding of homogeneous cubic degenerate centers in strong monodromic family
DOI10.1016/j.jde.2021.02.038zbMath1465.34040OpenAlexW3135399872MaRDI QIDQ2656622
Lingling Liu, Yilei Tang, Wei Nian Zhang
Publication date: 11 March 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.02.038
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)
Cites Work
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- On the centers of the weight-homogeneous polynomial vector fields on the plane
- Algebraic and topological classification of the homogeneous cubic vector fields in the plane
- Versal unfoldings of predator-prey systems with ratio-dependent functional response
- Quantifier elimination: Optimal solution for two classical examples
- Classification and unifolding of degenerate Hopf bifurcations with 0(2) symmetry: No distinguished parameter
- Classification and unfoldings of degenerate Hopf bifurcations
- Principal term of the monodromy transformation of a monodromic singular point is linear
- Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
- Monodromy and stability of a class of degenerate planar critical points
- The center-focus problem for a system with homogeneous nonlinearities in the case of zero eigenvalues of the linear part
- Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations
- A necessary condition in the monodromy problem for analytic differential equations on the plane
- Stability of motion
- Multiple Bifurcation Problems of Codimension Two
- Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3
- Codimension-three unfoldings of reflectionally symmetric planar vector fields
- Differential Topology
- The focus-centre problem for a type of degenerate system
- Generalized normal sectors and orbits in exceptional directions
- Unfoldings of Singular Hopf Bifurcation
- Chaotic dynamics in ${\mathbb Z}_2$-equivariant unfoldings of codimension three singularities of vector fields in ${\mathbb R}^3$
- MONODROMY AND STABILITY FOR NILPOTENT CRITICAL POINTS
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