损耗型变形耦合电机系统的混沌参数特性

提出一种考虑两种损耗特性的耦合发电机模型. 与原来的耦合发电机模型相比, 该模型更能反映实际情况. 通过数值计算Lypunov指数谱、分岔图、Poincaré映射等, 分析了系统在各种参数空间的性态变化. 结果显示考虑机械阻尼损耗的耦合发电机模型具有双吸引子, 机械阻尼损耗一方面可以抑制系统混沌, 另一方面却使系统在参数空间具有更复杂的混沌特性, 表征这两种损耗特性的参数对系统动力学行为都有显著的影响.

The characteristics of the chaotic parameters for a loss type of modified coupled dynamic system

A coupled dynamos model considering two loss characteristics is proposed, which can characterize the practical situation well compared with the previous one. By numerical calculation, the Lyapunov exponential spectrum, bifurcation diagram and Poincaré mapping are given. Then the dynamic characteristics of the parameters space are analyzed. From these results, it can be found that the novel coupled dynamo model with the consideration of mechanical damping loss, has double attractors. The mechanical damping loss can suppress the chaotic occurrence and leads to more complex bifurcation characteristic appearing in the parameter space. The two kinds of the loss characteristic parameters have significant influence on the dynamic behavior of the system.