An asymptotic symmetry of the rapidly forced pendulum

DOI10.1016/0167-2789(91)90224-WzbMath0739.70014OpenAlexW2001828623MaRDI QIDQ1181157

Harvey Segur, Yi-Hua Chang

Publication date: 27 June 1992

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90224-w

zbMATH Keywords

symmetryasymptotic expansionsaddle pointsMelnikov's methodseparatricessinusoidally forced pendulum

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05)

Related Items

Study of a class of subharmonic motions using a non-smooth temporal transformation (NSTT)

Cites Work

• Unnamed Item
• A singular perturbation problem in needle crystals
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Global bifurcations and chaos. Analytical methods
• Melnikov's method and averaging
• Asymptotics beyond All Orders in a Model of Crystal Growth
• A Differential Equation Connected with the Dendritic Growth of Crystals

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