THE ONSET OF BIFURCATIONS IN THE FORCED DUFFING EQUATION WITH DAMPING

DOI10.1142/S0218127413300061zbMath1270.34094MaRDI QIDQ2845138

Ion Sabba Stefanescu

Publication date: 22 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

periodic solutionssingular perturbationsWKB approximationbifurcation diagramsaveraging methodsboundary layer theoryforced Duffing equationcircle mapPoincaré mappingbifurcation sequencesasymptotic behavior of differential equationstransition to chaotic motion

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Dynamical systems involving maps of the circle (37E10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Cites Work

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