摘要
分别导出了单圆盘自耦合发电机和双圆盘耦合发电机的非线性方程组。通过对方程组的分析和计算机模拟计算,指出前者电流有稳定的周期解,后者在两圆盘角速度不同时可能进入混沌态。
The nonlinear equations of the single disk dynamo and the couple disk dynamo have been derived respectively.Through the analyses of the equations and simultaneous computation,the paper poins out that the current in the case of the single disk dynamo has stable periodic motion,and also for the case of the couple disk dynamo if two disks have the same angular velocity,while the currents in the case of the couple disks dynamo, may be in chaotic motion if two disks have different angular velocity.
引文
1TomazKapitanial.Chaoticoscilationsinmechanicalsystems.London:ManchesterUniversityPres,1991:652赵凯华.从单摆到混沌.现代物理知识,1993;5(4):123SNeilRasband.Chaoticdynamicsofnonlinearsystems.NewYork:JohnWiley&SonsInc,1990:112~1174RobertCHilborn.Chaosandnomlineardynamics.London:OxfordUnoversityPres,1994:1445AWolf.DetermingLyapunovexponentsfromatimeseries.PhysicaD16,1985:285~3176RTMeril,MWMcElhinny.国家地震局译.地球磁砀.北京:中国科学技术出版社,1986:143~146