A method for characterizing nilpotent centers
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Publication:2019256
DOI10.1016/j.jmaa.2013.12.013zbMath1323.34038OpenAlexW2074241230MaRDI QIDQ2019256
Publication date: 27 March 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: http://ddd.uab.cat/record/150727
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23)
Related Items (15)
Analytic nilpotent centers as limits of nondegenerate centers revisited ⋮ Analytic integrability inside a family of degenerate centers ⋮ Nilpotent centres via inverse integrating factors ⋮ Centers: their integrability and relations with the divergence ⋮ Step-by-step resolution of singularities and studying interactions between them ⋮ Center-focus problem for analytic systems with nonzero linear part ⋮ Bifurcation diagrams for Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields ⋮ Center conditions for nilpotent cubic systems using the Cherkas method ⋮ Analytic integrability around a nilpotent singularity ⋮ Reversible nilpotent centers with cubic homogeneous nonlinearities ⋮ Center cyclicity for some nilpotent singularities including the ℤ2-equivariant class ⋮ Bifurcation diagrams for Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields ⋮ Geometric criterium in the center problem ⋮ A new normal form for monodromic nilpotent singularities of planar vector fields ⋮ Divergence and Poincaré-Liapunov constants for analytic differential systems
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