scientific article; zbMATH DE number 6739907

zbMath1383.34053MaRDI QIDQ5273021

Douglas S. Shafer, Valery G. Romanovski

Publication date: 5 July 2017

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

centercyclicityfocus quantity

Mathematics Subject Classification ID

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) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Invariant manifolds for ordinary differential equations (34C45)

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Twelve Limit Cycles in 3D Quadratic Vector Fields with Z3 Symmetry ⋮ Local bifurcation and center problem for a more generalized Lorenz system ⋮ The smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcation ⋮ Unnamed Item ⋮ The center and cyclicity problems for quartic linear-like reversible systems ⋮ Identifying weak focus and center in a convection model ⋮ Ten limit cycles around a center-type singular point in a 3-d quadratic system with quadratic perturbation

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