Study of Dipteran Flight Oscillator by Codimension Two Dynamical Bifurcation
Via a simple mathematical model，the flight mechanism was studied，known as the dipteran flight oscillator. Aiming at dipteran flight oscillator，the stability and complicated dynamic behaviors were investigated. Codimension-two bifurcation of nonlinear phenomena was discovered near trival solution. Nonlinear viscous damping was introduced. Furthermore，applying the rescaling of the state and time variables，the universal unfolding and the relationship between its parameters and the parameters of the original nonlinear dynamical system were obtained. The investigation was made on the effects of nonlinear viscous damping on the codimension dynamical bifurcation. Based on this equivalence between the universal unfolding and the damped system，the bifurcation diagram and the corresponding co-dimension two behavior near the trivial equilibrium were obtained and displayed for the damped dipteran flight oscillator as the perturbation parameters vary.
非线性动力学系统 数学模型 摄动参数 分岔图 阻尼系统 飞行振荡器
Ruilan Tian Qingjie Cao Xinwei Yang
Centre for Nonlinear Dynamics Research, Shijiazhang Railway Institute, Shijiazhuang 050043, China Shijiazhuang Institute of Railway Technology, Shijiazhuang 050041, China
国内会议
第十二届全国非线性振动暨第九届全国非线性动力学和运动稳定性学术会议
南京
英文
1-6
2009-05-15（万方平台首次上网日期，不代表论文的发表时间）