A study of the static and global bifurcations for Duffing equation

DOI10.1007/BF02459176zbMath0991.70018OpenAlexW1998195445MaRDI QIDQ1579187

Jiuping Li, Tian-De Zhang, Qing-jie Cao

Publication date: 28 August 2002

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459176

zbMATH Keywords

global bifurcationsDuffing equationsteady statesPoincaré expansioninteger powers of small parameter

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The bifurcations of duffing's equation: An application of catastrophe theory

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