Bifurcation of limit cycles for a quartic near-Hamiltonian system by perturbing a nilpotent center

DOI10.1016/j.jmaa.2009.10.051zbMath1274.34116OpenAlexW2054871509MaRDI QIDQ847788

Jiao Jiang

Publication date: 19 February 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.10.051

zbMATH Keywords

limit cycleHopf bifurcationnilpotent centernear-Hamiltonian system

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) Periodic orbits of vector fields and flows (37C27) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (5)

LIMIT CYCLE BIFURCATION FOR A NILPOTENT SYSTEM IN <i>Z</i>₃-EQUIVARIANT VECTOR FIELD ⋮ Limit cycle bifurcations by perturbing a compound loop with a cusp and a nilpotent saddle ⋮ HOPF BIFURCATION OF LIÉNARD SYSTEMS BY PERTURBING A NILPOTENT CENTER ⋮ Bifurcations of limit cycles in complex networks of Hamiltonian systems and Lloyd's conjecture ⋮ Bifurcations in a Cubic System with a Degenerate Saddle Point

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