Bifurcations in a parametrically excited nonlinear oscillator

DOI10.1016/0020-7462(87)90048-5zbMath0607.70026OpenAlexW1990975875MaRDI QIDQ1085644

Anil K. Bajaj

Publication date: 1987

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(87)90048-5

zbMATH Keywords

existenceperiodic solutionsHopf bifurcationsmethod of averagingnon-existenceaveraged equationspitchforkvan der Pol oscillatorsaddle-nodedetuninglinear dampinglimit cycle solutionsalmost periodic oscillationsBendixson's criteriondegenerate singularitiesDuffing type nonlinearitieslocal bifurcation theorynonlinear motionsnonlinear parametrically excited oscillatorone and two parameter unfoldingspartial bifurcation set

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Averaging method for ordinary differential equations (34C29) Nonlinear resonances for nonlinear problems in mechanics (70K30) Dynamical systems and ergodic theory (37-XX)

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