A new perturbation procedure for limit cycle analysis in three-dimensional nonlinear autonomous dynamical systems

DOI10.1007/S11071-008-9397-4zbMath1170.70338OpenAlexW2082130397MaRDI QIDQ840308

Shen, Jianhua, Shuhui Chen, Kam-Yim Sze

Publication date: 11 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-008-9397-4

zbMATH Keywords

limit cycle analysismodified L-P methodnew perturbation procedurethree-dimensional systems

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05)

Related Items (4)

A Novel Method to Improve the Multiple-Scales Solution of the Forced Nonlinear Oscillators ⋮ Approximation of limit cycles in two-dimensional nonlinear systems near a Hopf bifurcation by canonical transformations ⋮ Parameter-splitting perturbation method for the improved solutions to strongly nonlinear systems ⋮ A New Method for the Frequency Response Curve and Its Unstable Region of a Strongly Nonlinear Oscillator

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