Rapidly forced planar vector fields and splitting of separatrices

DOI10.1006/jdeq.1995.1093zbMath0827.34041OpenAlexW1985352864MaRDI QIDQ1895093

Ernest Fontich

Publication date: 26 November 1995

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1995.1093

zbMATH Keywords

upper boundsMelnikov functionplanar vector fieldssplitting of separatricesanalytic rapidly forced two-dimensional systems

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) Perturbations of ordinary differential equations (34D10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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