Two kinds of bifurcation phenomena in a quartic system

DOI10.1186/s13662-015-0365-2zbMath1361.34028OpenAlexW1967859670WikidataQ59436112 ScholiaQ59436112MaRDI QIDQ318658

Jianlong Qiu, Feng Li

Publication date: 5 October 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0365-2

zbMATH Keywords

bifurcation of limit cyclesquasi-Lyapunov constantcenter-focus problemthird-order nilpotent critical point

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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)

Related Items (5)

Existence of zero-order meromorphic solutions of certain \(q\)-difference equations ⋮ Some notes on conformable fractional Sturm-Liouville problems ⋮ Limit cycles in a quartic system with a third-order nilpotent singular point ⋮ Complex isochronous centers and linearization transformations for cubic \(Z_2\)-equivariant planar systems ⋮ The existence and nonexistence of positive solutions for fractional differential equations with nonhomogeneous boundary conditions

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