Hopf bifurcation and stability of periodic solutions in a nonlinear relative rotation dynamical system with time delay
一类时滞非线性相对转动系统的Hopf分岔与周期解的稳定性

Hopf bifurcation in a nonlinear relative-rotation system with time delay is considerd,and the critical time delay associated with Hopf bifurcation is found. The time delay's influence on the direction and stability of bifurcation are analyzed under the primary resonance condition with the aid of multiple scales. Finally,numerical simulations are performed to verify the analytical results.