On internal resonance of nonlinear vibrating systems with many degrees of freedom

DOI10.1007/BF02450426zbMath0760.70015MaRDI QIDQ1187829

S. L. Lau, Zhao Xu

Publication date: 23 July 1992

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

stabilityautonomous systemsKrylov-Bogolyubov- Mitropol'skij methodlimit cycle phase portraitphase-locked solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (4)

The existence, stability and approximate expressions of periodic solutions of strongly nonlinear nonautonomous systems with multi-degrees-of-freedom ⋮ A closed-form solution for nonlinear oscillation and stability analyses of the elevator cable in a drum drive elevator system experiencing free vibration ⋮ Nonlinear dynamics modeling and analysis of two rods connected by a joint with clearance ⋮ Homoclinic-doubling and homoclinic-gluing bifurcations in the Takens-Bogdanov normal form with D4 symmetry

Cites Work

• Unnamed Item
• Domains of attraction for multiple limit cycles of coupled van der Pol equations by simple cell mapping
• Bifurcation of periodic motions in two weakly coupled van der Pol oscillators
• Internal resonance of non-linear autonomous vibrating systems with two degrees of freedom
• A regular perturbation technique for non-linearly coupled oscillators in resonance
• A Variable Parameter Incrementation Method for Dynamic Instability of Linear and Nonlinear Elastic Systems

This page was built for publication: On internal resonance of nonlinear vibrating systems with many degrees of freedom