Use of rotation numbers to predict the incipient folding of a periodic orbit

DOI10.1016/0307-904X(87)90155-7zbMath0621.34030MaRDI QIDQ1089821

Claudio Franciosi, Steven R. Bishop

Publication date: 1987

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

rotation numberPoincaré sectionfold bifurcationnon-autonomous dynamical systemDuffing's equationinstability prediction methodresonance of an electromagnetically driven steel beam

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Rotation numbers and vectors (37E45)

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