Some properties of Melnikov functions near a cuspidal loop

DOI10.1007/s11425-022-2124-7OpenAlexW4389902799MaRDI QIDQ6131285

Junmin Yang, Mao'an Han

Publication date: 4 April 2024

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-022-2124-7

zbMATH Keywords

bifurcationlimit cycleMelnikov functionnilpotent cusp

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Cites Work

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