Bifurcation solutions of resonant cases of nonlinear Mathieu equations

zbMath0736.34036MaRDI QIDQ1176069

Lintao Mei, Yu-Shu Chen

Publication date: 25 June 1992

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

Lyapunov-Schmidt reductionmain resonanceMathieu-Duffing equationbifurcation solutionsnonlinear Mathieu equationMathieu van der Pol equationpendulum with vertically vibrating supportsubharmonic, superharmonic and fractal resonance

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Parametric resonances for nonlinear problems in mechanics (70K28)