Limit cycle bifurcations from a nilpotent focus or center of planar systems

DOI10.1155/2012/720830zbMath1261.34032arXiv1109.6473OpenAlexW2094128606WikidataQ58696658 ScholiaQ58696658MaRDI QIDQ1938285

Valery G. Romanovski, Mao'an Han

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6473

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23)

Related Items (10)

The center problem for \(\mathbb{Z}_2\)-symmetric nilpotent vector fields ⋮ Nine limit cycles around a singular point by perturbing a cubic Hamiltonian system with a nilpotent center ⋮ A KIND OF BIFURCATION OF LIMIT CYCLES FROM A NILPOTENT CRITICAL POINT ⋮ BIFURCATION OF LIMIT CYCLES AT A NILPOTENT CRITICAL POINT IN A SEPTIC LYAPUNOV SYSTEM ⋮ Fourteen limit cycles in a seven-degree nilpotent system ⋮ A method for characterizing nilpotent centers ⋮ Limit cycle bifurcations and analytic center conditions for a class of generalized nilpotent systems ⋮ Fractal analysis of planar nilpotent singularities and numerical applications ⋮ Fractal analysis of degenerate spiral trajectories of a class of ordinary differential equations ⋮ New Double Bifurcation of Nilpotent Focus

Cites Work

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