Non-linear oscillator limit cycle analysis using a time transformation approach

DOI10.1016/0020-7462(82)90033-6zbMath0499.70031OpenAlexW2064534636MaRDI QIDQ1171894

Thomas D. Burton

Publication date: 1982

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(82)90033-6

zbMATH Keywords

perturbation methodperiodicity conditionsvan der Pol oscillatornew independent variableautonomous oscillationstime transformationssimple harmonic oscillation

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (9)

Application of the improved complex normal form method based on He's energy balance method to a noise included nonlinear oscillator ⋮ ANALYSIS OF THE LIMIT CYCLE OF A GENERALISED VAN DER POL EQUATION BY A TIME TRANSFORMATION METHOD ⋮ Nonlinear time transformation method for strong nonlinear oscillation systems ⋮ Parametric excitation for forcing van der Pol oscillator. ⋮ Extension and application of Newton's method in nonlinear oscillation theory ⋮ Construction of approximate periodic solutions to a modified van der Pol oscillator ⋮ On the motion of a generalized van der Pol oscillator ⋮ Numerical simulation of van der Pol equation using multiple scales modified Lindstedt-Poincaré method ⋮ Asymptotic analysis of strongly nonlinear oscillators

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