Twelve Limit Cycles in 3D Quadratic Vector Fields with Z3 Symmetry

DOI10.1142/S0218127418501390zbMath1404.34033OpenAlexW2898350689WikidataQ129030668 ScholiaQ129030668MaRDI QIDQ4555016

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Publication date: 19 November 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127418501390

zbMATH Keywords

limit cyclenormal formthree-dimensional quadratic system\(Z_3\)-equivariant vector field

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) 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)

Related Items (6)

Local bifurcation and center problem for a more generalized Lorenz system ⋮ Weak Bi-Center and Bifurcation of Critical Periods in a Three-Dimensional Symmetric Quadratic System ⋮ Nine limit cycles around a weak focus in a class of three-dimensional cubic Kukles systems ⋮ Isochronous solutions of a 3-dim symmetric quadratic system ⋮ Bifurcation analysis on a class of three-dimensional quadratic systems with twelve limit cycles ⋮ Identifying weak focus and center in a convection model

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