Limit cycle bifurcations by perturbing a compound loop with a cusp and a nilpotent saddle

DOI10.1155/2014/819798zbMath1474.34238OpenAlexW2074697426WikidataQ59041789 ScholiaQ59041789MaRDI QIDQ1725062

Huanhuan Tian, Mao'an Han

Publication date: 14 February 2019

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

Full work available at URL: https://doi.org/10.1155/2014/819798

Mathematics Subject Classification ID

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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (4)

Limit cycle bifurcations for a kind of Liénard system with degree seven ⋮ Bifurcation of periodic orbits by perturbing high-dimensional piecewise smooth integrable systems ⋮ On the Number of Limit Cycles Bifurcated from a Near-Hamiltonian System with a Double Homoclinic Loop of Cuspidal Type Surrounded by a Heteroclinic Loop ⋮ Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order \(m\)

Cites Work

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• ASYMPTOTIC EXPANSIONS OF MELNIKOV FUNCTIONS AND LIMIT CYCLE BIFURCATIONS

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