On perturbation procedure for limit cycle analysis

DOI10.1016/0020-7462(91)90086-9zbMath0734.70016OpenAlexW1981855742MaRDI QIDQ811147

N. E. Zubov

Publication date: 1991

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(91)90086-9

zbMATH Keywords

limit cycleinitial conditionRunge-Kutta integrationperturbation procedureautonomous systemincremental harmonic balance method

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Perturbations of ordinary differential equations (34D10)

Related Items (4)

A new perturbation procedure for limit cycle analysis in three-dimensional nonlinear autonomous dynamical systems ⋮ ANALYSIS OF THE LIMIT CYCLE OF A GENERALISED VAN DER POL EQUATION BY A TIME TRANSFORMATION METHOD ⋮ On the application of the homotopy analysis method to limit cycles' approximation in planar self-excited systems ⋮ Existence and analytical approximations of limit cycles in a three-dimensional nonlinear autonomous feedback control system

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